Heat_Exchangers Sizing Suparma

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    Chapter 2: Heat Exchangers

    Rules of Thumb for Chemical Engineers, 5th Edition

    by Stephen Hall

    Units:

    This Excel workbook includes Visual Basic for Application function subroutines.

    Macros must be enabled for them to work.

    Guide to Using this Workbook

    The primary purpose of this workbook is to demonstrate the use of the Bell-Delaware method for rating shell-and-

    tube heat exchangers. The method is applicable to exchangers with NO PHASE change. The worksheets follow

    the text in the stepwise evaluation of a heat transfer problem that is defined by the hot and cold fluid properties.

    Input cells have REDtext. Cells with black text are formulas.

    1. Define the components in the hot and cold streams on the Process Fluids worksheet. Store the properties for

    new (previously unknown) components on the Fluid Data worksheet.

    2. Define the mass fraction of the components, flow rates, and temperatures on the Process Data worksheet

    3. Use the Tubes Pressure Drop worksheet to determine the tube diameter, length and number of tube passes in

    the exchanger, based on a pressure drop criteria

    4. Calculate the inside film coefficient on the Tubes htc worksheet

    worksheet.

    6. Calculate the outside film coefficient on the Shell htc worksheet

    7. Determine the pressure drop on the shell side on the Shell Pressure Drop worksheet

    8. Compute the overall heat transfer coefficient, clean and fouled, on the Overall U worksheet; iterate until the

    assumed overall U in Step 3 agrees with the calculated U-clean

    9. Complete a TEMA datasheet on the Shell-and-Tube worksheet

    10. The Conversions worksheet is used for data, including the status of radio buttons and checkboxes, and must

    not be deleted!

    ChemEng Software sells an Excel template called TANKJKT

    www.chemengsoftware.com

    TANKJKT models heat transfer in vessels with jackets and/or internal coils. It includes a database of properties

    for glass-lined reactors, heat transfer fluids, and insulation materials. Order on-line or by telephone, 24-h/d; credit

    cards accepted.

    Customary US SI

    http://www.chemengsoftware.com/http://store.elsevier.com/product.jsp?isbn=9780123877857&_requestid=96716http://www.chemengsoftware.com/http://www.chemengsoftware.com/
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    http://store.elsevier.com/product.jsp?isbn=9780123877857&_requestid=96716
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    Use this worksheet to define the components present in the hot and cold streams for a heat tra

    Multiple components from the Fluid Data properties table can be specified, and their propertiesAverging properties for non-ideal solutions, such as polar mixtures (with water), gives poor resu

    A better approach is to define the properties for the mixtures at several temperatures and add t

    The composition (i.e., mass fraction of each component) is specifed on the next worksheet.

    Use the dropdown list to view the Fluid Data content: Methyl Alcohol

    To add new materials to the Fluid Data, go to the Fluid Data worksheet tab

    Hot Fluid Components

    Name in Data Table? Description1 Water YES City water

    2 Methyl Alcohol YES pure component

    3

    4

    5

    6

    7

    8

    9

    Cold Fluid Components

    Name in Data Table? Description

    1 Water YES City water

    2

    3

    4

    5

    6

    7

    8

    9

    Problem Statement:Define components for the hot and cold streams

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    sfer problem.

    will be averaged. lts.

    em to the database.

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    Inputs

    Hot Side

    Fluid name Distilled Water

    Flow Total lb/h 396,000

    Temperature, in F 90

    Temperature, out F 77

    Pressure, in psig 29

    Press Drop Allowed psig 2

    Fouling Resistance ft-h-F/Btu 0.0005

    Cold Side

    Fluid name Raw Water

    Flow Total lb/h 1,188,000

    Temperature, in F 68Temperature, out F 72

    Pressure, in psig 60

    Press Drop Allowed psig 10

    Fouling Resistance ft-h-F/Btu 0.0005

    mass frac

    Component Density

    Hot Side Fluid Components mass fraction mole fracti lb/ft3

    1 Water 1 61.91

    2 Methyl Alcohol 0 -

    3

    4

    5

    6

    7

    8

    9

    OK 61.91

    Cold Side Fluid Components

    1 Water 1 62.25

    2

    3

    4

    56

    7

    8

    9

    OK 62.25

    Problem Statement:Specify process conditions for a liquid-liquid heat exchangeproblem, and perform a heat balance

    Hot Side Flow

    Hot Side Temperature In

    Hot Side Temperature Out

    Cold Side Flow

    Cold Side Temperature In

    Cold Side Temperature Out

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    Shell Side Tube

    Parameter Units In Out In

    Fluid Name Distilled Water Raw

    Flow Total lb/h 396000 1188

    Vapor lb/h

    Liquid lb/hSteam lb/h

    Water lb/h

    Noncondensable lb/h

    Evap/Cond lb/h

    Temperature (In/Out) F 89.6 68

    Density lb/ft3

    Viscosity cP

    Molecular Weight, vapor

    Molecular Weight, noncondensibles

    Specific Heat Btu/lb-F

    Thermal Conductivity Btu/h-ft-F

    Latent Heat Btu/lbInlet Pressure psig 29.00754 60

    Velocity ft/s

    Press Drop Allowed psig 1.5 10

    Fouling Resistance ft-h-F/Btu 0.000499687 0.000499687

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    Temp, C

    Temp, C

    Heat Transferred

    5,002,748 Btu/h

    Temp, CTemp, C

    mass frac

    Viscosity Sp Heat herm Con H Vap Density Viscosity Sp Heat

    cP MW Btu/lb-F Btu/h-ft-F Btu/lb lb/ft3 cP MW Btu/lb-F

    0.77409439 18.02 1.00 0.35 971.63 62.11 0.902497 18.02 1.00

    0.51586441 32.04 - - 472.91 - 0.562399 32.04 -

    0.77409439 1.00 0.35 62.11 0.902497 1.00

    1.02 18.02 1.00 0.34 971.63 62.19 0.96 18.02 1.00

    1.02 1.00 0.34 62.19 0.96 1.00

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    Side

    Out

    ater

    000

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    32.00

    25.00 Heat (5,002,748) Btu/h (1,466,306) Watts

    20.0022.33 Heat 5,002,748 Btu/h 1,466,306 Watts

    (0)

    herm Con Antoine Coefficients VP VP Partial P Viscosity u

    Btu/h-ft-F A B C mm Hg psig psig Wi ln(visc)

    0.35 8.03 1,706.13 231.49 35.69 (14.01) 1 -0.25606

    - 7.97 1,515.29 232.99 180.57 (11.20) 0 0

    0.35 -0.25606

    0.34 8.03 1,706.13 231.49 35.69 (14.01) 1 0.015857

    0.34 0.015857

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    Viscosity Based on the Wall Temperatures

    ing Eq 27-3 If Shell Side If Tube Side

    cP ln(cP) cP ln(cP)

    -0.10259 0.94347 -0.05819 0.92645 -0.0764

    0 0.576321 0 0.570588 0

    -0.10259 0.94347 -0.05819 0.92645 -0.0764

    -0.04041 0.94 -0.05819 0.93 -0.0764

    -0.04041 0.94347 -0.05819 0.92645 -0.0764

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    Inputs

    Fluid flowing in tubes Raw WaterAssumed overall U Btu/h-ft-F 520

    Safety factor for fouling 20%

    Tube OD in 0.750

    Tube wall thickness BWG 14

    Tube length ft 15

    Tube Passes 1

    Shell Passes 1

    Data (from the Process Data and F Factor worksheets)

    Flow rate lb/h 1,188,000

    Heat transferred Btu/h 5,002,748

    Temp diff correction factor 1.000Average viscosity cP 0.99

    Average density lb/ft3 62.22

    Pressure at inlet psig 60

    Pressure drop allowed psig 10

    Tube roughness ft 0.0000067

    Calculations

    Tube inside diameter in 0.584

    Flow area per tube ft 0.00186

    Tube area available ft/ft 0.1963

    Log-mean temp diff F 12.74

    Mean temperature difference F 12.74

    Adjusted duty Btu/h 6,003,298

    Tube area required ft 906

    Total tube length req ft 4,615

    Number of tubes 308

    Tubes per pass 308

    Actual area ft 907

    Flow rate per tube lb/h 3,857

    Velocity in tube ft/s 9.26

    Reynolds Number 42,215

    Friction Factor 0.0221

    Pressure Drop, tubes psig 3.92

    Pressure drop, enter/exit ft fluid neglect

    Enter/exit tubes ft fluid 2.00

    End losses in bonnets/channels ft fluid -

    Subtotal, extra losses tube side ft fluid 2.00

    psig 0.86

    Total pressure drop, tube side psig 4.78

    Problem Statement:Calculate the tube side pressure drop based on process data andheat load, using rule-of-thumb heat transfer rate and safety factor

    Result

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    Inputs (copied from the Process Data and Tubes worksheets)

    Hot Side

    Fluid name Distilled Water

    Temperature, in F 89.60

    Temperature, out F 77.00

    Cold Side

    Fluid name Raw Water

    Temperature, in F 68.00

    Temperature, out F 72.20

    Tube passes 1

    Shell passes N 1

    Calculations

    Intermediate value R 2.999

    Intermediate value P 0.195

    Intermediate value S 1.581

    Intermediate value W 0.517

    Intermediate value W' 0.805

    General Case

    Numerator (1.042)

    Denomenator (1.107)

    General Case Answer F 0.942

    R=1 Case

    Numerator 0.341

    Denomenator 0.345

    R=1 Answer F 0.990

    Choose which one F 0.942

    Problem Statement:Calculate the LMTD configuration correction factor

    Result

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    Inputs Fluid flowing in tubes Raw Water

    Assumed inside heat transfer coef Btu/h-ft-F 1,057

    Data (from the Process Data and Tubes Pressure Drop worksheets)

    Assumed overall U Btu/h-ft-F 520.0

    Outside surface area ft 907.1

    Tube outside diameter in 0.750

    Tube inside diameter in 0.584

    ft 0.049

    Tube length (one path) ft 4,620.00

    Bulk viscosity cP 0.99

    Viscosity at tube wall cP 0.93

    Bulk heat capacity Btu/lb-F 1.00Bulk thermal conductivity Btu/h-ft-F 0.34

    Reynolds Number 42,215

    Calculations

    Inside surface area ft 706.36

    Overall U based on inside area Btu/h-ft-F 667.81

    Average temperature, shell side F 70.10

    Average temperature, tube side F 83.30

    Mean wall temperature, inside F 74.96

    Temp, C 23.87

    Sieder-Tate term (visc ratio^0.14) 1.01

    Prandl Number 6.98

    Laminar flow calculation

    Inside heat transfer coefficient Btu/h-ft-F 27

    Turbulent flow calculation

    Inside heat transfer coefficient Btu/h-ft-F 1,569

    Transition flow calculation

    Inside heat transfer coefficient Btu/h-ft-F 7,778

    Choose which one

    Inside heat transfer coefficient Btu/h-ft-F 1,569

    Problem Statement:Calculate the tube side heat transfer coefficient

    Result

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    Inputs

    Number of shells 1Shell inside diameter in 21.25

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    is 23.3 in

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    Inputs Fluid flowing in shell Distilled Water

    Assumed outside heat transfer coef Btu/h-ft-F 704Baffle hole clearance 0.03

    Data

    Flow rate lb/h 396,000

    lb/s 110.00

    Assumed overall U Btu/h-ft-F 520.0

    Outside surface area ft 907.1

    Tube outside diameter in 0.750

    ft 0.063

    Number of tubes in the exchanger N 308

    Viscosity at tube wall cP 0.93

    Bulk viscosity, shell cP 0.84lb/ft-s 0.00056

    Wall viscosity, shell cP 0.94

    Bulk heat capacity, shell Btu/lb-F 1.00

    Bulk thermal conductivity, shell Btu/h-ft-F 0.35

    Btu/s-ft-F 0.000097

    Shell inside diameter in 21.25

    Tube bundle outside diameter in 19.00

    Baffle cut fraction 0.25

    Baffle spacing in 10.00

    Pitch layout 90

    Pitch Ratio 1.33

    Tube Pitch in 1.00

    Tube Pitch, normal to flow in 1.00

    Tube Pitch, parallel to flow in 1.00

    Number of sealing strip pairs per side 2

    Calculations

    Average temperature, shell side F 70.10

    Average temperature, tube side F 83.30

    Mean wall temperature, outside F 73.56

    Temp, C 23.09

    Crossflow area between baffles, As ft 0.4707

    Reynolds Number 25,929

    j-ideal factor coefficients a1 0.370a2 (0.395)

    a3 1.187

    a4 0.370

    a 0.169

    j-ideal factor 0.007

    Sieder-Tate term (visc ratio^0.14) 0.98

    Ideal heat transfer coefficient Btu/h-ft-F 1,708.59

    Problem Statement:Calculate the shell side film coefficient using the Bell-Delaware method

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    Correction Factor for Baffle Cut and Spacing

    Baffle cut, lc in 5.31

    Intermediate 0.56

    Fraction of tubes in crossflow Fc 0.67

    Baffle cut correction factor Jc 1.03

    Correction Factor for Baffle Leakage EffectsAngle to edge of baffle Theta-1 1.05 2.09440

    Shell-to-baffle spacing sb 0.25

    Shell-to-baffle leakage area Asb 5.56

    Shell-to-outer tube limit distance C1 2.25 18.25

    Angle to edge of tubes and baffle Theta-3 1.95 1.90

    Fraction of tubes in one window Fw 0.16 0.15

    Baffle hole to tube OD spacing tb 0.03

    Tube-to-baffle leakage area Atb 4.74

    Angle to window Theta-2 2.04 2.0943951

    Tubes in baffle window Ntw 50.00 46.67

    Area occupied by tubes in window Awt 22.09 20.62

    Gross window area Awg 64.87 69.34Free area for fluid flow in one window Aw 42.78 48.72

    Intermediate ra 0.54

    Intermediate rb 0.24

    Baffle Leakage Effects factor Jl 0.78

    Correction Factor for Bundle and Partition Bypass Effects

    Formula coefficient C 1.25

    Number of bypass divider lanes Np -

    Width of bypass divider lanes wp 1.50

    Area of bypass divider lanes, Abp ft 0.16

    Ratio, bypass to crossflow area rc 0.33

    Tube crossings Ncc 10.65

    Ratio of sealing strips to tubes 0.19

    Bundle Bypass Factor Jb 0.89

    Correction for Variations in Baffle Spacing

    Assuming even number of baffles so shell nozzles are on opposite sides

    Odd number of flow lanes

    Assume equal spacing for inlet and outlet baffles

    Number of baffles 16

    Length of center section, baffled in 150.00

    Inlet and Outlet baffle spacing in 15.00

    Exponent n 0.60

    Li* 1.50

    Lo* 1.50Baffle Spacing Factor Js 0.96

    Correction for Temperature Gradient if Laminar Flow

    Number of tube rows in one crossflow section 10.65

    Correction factor 1.00

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    Overall losses 0.69

    Outside he Btu/h-ft-F 1,182.81 6,742.00

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    Equiv Diam 0.229264

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    Inputs

    Data (from Shell htc worksheet)

    Reynolds Number 25,929

    Number of baffles 16

    Pitch Ratio 1.33

    Tube Pitch in 1.00

    Tube Outside Diameter in 0.75

    Sieder-Tate term (visc ratio^0.14) 0.98

    Flow rate lb/s 110.00

    Tubes in one crossflow section Nr,cc 10.65

    Tube crossings in window Nr,tw 3.06

    Density lb/ft3 62.01

    Conversion factor gc 32.17Flow area, crossflow section, As ft 0.471

    Flow area, window, Aw ft 0.297

    Ratio, bypass to crossflow area rc 0.33

    Ratio of sealing strips to tubes 0.19

    Intermediate ra 0.54

    Intermediate rb 0.24

    Baffle spacing, center 10.00

    Baffle spacing, inlet zone 15.00

    Baffle spacing, outlet zone 15.00

    Calculations

    Velocity in crossflow at widest diameter

    Velocity ft/s 3.77

    Ideal Pressure Drop per Crossflow Section

    f-ideal factor coefficients b1 0.391

    b2 (0.148)

    b3 6.300

    b4 0.378

    b 0.837

    f-ideal factor 0.087

    Pressure Drop, one crossflow section psig 0.35

    Crossflow pressure drop, ideal psig 5.19

    Bypass correction factorCoefficient Cbp 3.7

    Bypass correction factor RB 0.71

    Leakage correction factor

    Intermediate exponent 0.57

    Leakage correction factor RL 0.40

    Crossflow pressure drop, corrected psig 1.48

    Problem Statement:Calculate the shell side pressure drop

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    Window Pressure Drop

    Average flow per window mw 294

    Equivalent diameter of baffle window ft 0.10

    Window pressure drop psig 2.03

    End Zones Pressure DropExponent 0.2

    Correction factor, baffle spacing RS 0.96

    End zones pressure drop psig 0.002

    TOTAL Shell Side Pressure Drop psig 3.51

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    Inputs

    Material of construction, tubes Cr-alloy (0.5% Cr)

    Data

    Assumed U Btu/h-ft-F 520

    Film coefficient, tubes Btu/h-ft-F 1,569

    Fouling resistance, tubes 0.00050

    Fouling resistance, shell 0.00050

    Film coefficient, shell Btu/h-ft-F 1,183

    Outside diameter, tubes in 0.75

    Inside diameter, tubes in 0.58

    Thermal conductivity, tubes Btu/h-ft-F 24Heat transferred Btu/h 5,002,748

    Mean temperature difference F 12.74

    Calculations

    Overall U, calculated, clean Btu/h-ft-F 503

    Overall U, calculated, dirty Btu/h-ft-F 319

    Area required, clean ft 781.29

    Area required, fouled ft 1,229.45

    Area provided by the design ft 907.13

    Oversurface 16%

    Problem Statement:Calculate the overall heat transfer coefficient and compare with theassumed value

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    Inputs

    Max Velocity, tubeside nozzles ft/s 5.00Max Velocity, shellside nozzles ft/s 3.00

    Data

    Tubeside

    Flow rate lb/h 1,188,000

    Inlet density lb/ft3 62.25

    Outlet density lb/ft3 62.19

    Shellside

    Flow rate lb/h 396,000

    Inlet density lb/ft3 61.91

    Outlet density lb/ft3 62.11

    Calculations

    Tubeside

    Volumetric flow rate, tubeside inlet ft3/s 5.30

    Minimum ID of nozzle in 13.94

    Selected nozzle in 15.624

    Selected nozzle designation in 16

    Velocity ft/s 3.98

    rho-v2 lb/ft2-s 986.84

    Weight lb 146

    Volumetric flow rate, tubeside outlet ft3/s 5.31

    Minimum ID of nozzle in 13.95

    Selected nozzle in 15.624

    Selected nozzle designation in 16

    Velocity ft/s 3.99

    rho-v2 lb/ft2-s 987.90

    Weight lb 146

    Shellside

    Volumetric flow rate, shellside inlet ft3/s 1.78

    Minimum ID of nozzle in 10.42

    Selected nozzle in 12.39

    Selected nozzle designation in 12

    Velocity ft/s 2.12

    rho-v2 lb/ft2-s 278.80Weight lb 90

    Volumetric flow rate, shellside outlet ft3/s 1.77

    Minimum ID of nozzle in 10.40

    Selected nozzle in 12.39

    Selected nozzle designation in 12

    Velocity ft/s 2.12

    rho-v2 lb/ft2-s 277.90

    Weight lb 90

    Problem Statement:Specify the size of the nozzles

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    Inputs

    Tubesheet thickness in 1Baffle Thickness in 0.5

    Data

    Shell Inside Diameter ft 1.770833

    Shell Thickness ft 0.0625

    Shell Length ft 15

    Number of Baffles 16

    Tube Outside Diameter ft 0.0625

    Tube Inside Diameter ft 0.048667

    Number of Tubes 308

    Weight of steel lb/ft3 489.5

    Density of water lb/ft3 62.4

    Calculations

    Shell metal volume ft3 2.65

    Shell weight lb 1,299

    Add for heads lb 456

    Add for four flanges lb 720

    Add for nozzles lb 180.00

    Total, Shell lb 2,788

    Tube volume (inside the tubes) ft3 8.59

    Tube volume (outside the tubes ft3 14.17

    Tube Weight lb 2,731

    Tubesheet lb 201 assumes two tubesheets

    Add for nozzles lb 292

    Baffles lb 804

    Total, Tube Bundle empty lb 4,229

    Total Weight, empty lb 7,017

    Shell inside volume ft3 36.94Heads volume ft3 3.69

    Less volume of tube metal ft3 (5.58)

    Weight of Water filling the void lb 2,188

    Total Weight, full of water lb 9,205

    Problem Statement:Estimate the weight of the heat exchanger

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    SHELL-AND-TUBE HEAT EXCHANGER

    CLIENT EQUIP. NO PAGE

    REV PREPARED BY DATE APPROVAL W.O. REQUISITION NO. SPECIFICATION NO.

    0

    1 UNIT AREA PROCURED BY INSTALLED BY

    2

    1 Size TEMA Type Connected in (series/parallel)

    2 Surface per Unit 907.13 Shells per Unit 1 Surface per Shell 907.1 ft

    3 Performance of One Unit

    4 Fluid Allocation Shell Side Tube Side

    6 Fluid Name Distilled Water Raw Water

    7 Flow Total lb/h 396,000 1,188,000

    8 Vapor lb/h (in/out)

    9 Liquid lb/h (in/out) 396,000 1,188,000

    10 Steam lb/h (in/out)

    11 Water lb/h (in/out)

    12 Noncondensable lb/h (in/out)

    13 Temperature (In/Out) F (in/out) 89.6 77.0 68.0 72.2

    14 Density lb/ft3 61.91 62.11 62.25 62.19

    15 Viscosity cP 0.77 0.90 1.02 0.96

    16 Molecular Weight, vapor

    17 Specific Heat Btu/lb-F 1.00 1.00 1.00 1.00

    18 Thermal Conductivity Btu/h-ft-F 0.4 0.3 0.3 0.3

    19 Latent Heat Btu/lb

    20 Inlet Pressure psigg (inlet) 29.0 60.0

    21 Velocity ft/s 3.77 9.26

    22 Press Drop Allow/Calc psig 1.5 3.5 10.0 4.8

    23 Fouling Factor ft-h-F/Btu 0.0005 0.0005

    24 Heat Exchanged Btu/hr 5,002,748 LMTD (corrected) F 12.74

    25 Service Coeff. Btu/h-ft-F Dirty 319 Clean 503

    26 Construction Data for One Shell

    27 Shell Side Tube Side Sketch

    28 Design/Test Press psigg

    29 Design Temperature F30 No. Passes per Shell 1 1

    31 Corrosion Allowance in

    32 In inches 12.00 16.00

    33 Out 12.00 16.00

    34 Intermediate

    35 Tubes No. 308 OD, in 0.75 Gauge 14 Length, ft. 15 Pitch layout, deg. 90

    36 Type Material Cr-alloy (0.5% Cr) Pitch ratio 1.33

    37 Shell OD, in ID, in 21.25 Material

    38 Channel or Bonnet OD, in Thick Channel Cover

    39 Tubesheet Type

    40 Floating Heat Cover Impingement Protection

    41 Baffles Cross (number) 16 % Cut (d) 25% Spacing C/C, in 10.00

    42 Baffles Long Seal Type No

    43 Supports Tube U-Bend Type

    44 Bypass Seal Arrangement NA Tube-Tubesheet Joint45 Expansion Joint No. Type

    46 Rho-V2-Inlet Nozzle 987 Bundle Entrance 279 Bundle Exit 278

    47 Gaskets - Shell Side Tube Side

    48 Floating Heat Cover Supports

    49 Code Requirements TEMA Class

    50 Weight per shell lb 7,000 Filled w/water 9,200 Bundle 4,200

    51

    52 Notes

    53

    54

    Connections

    Size & Rating

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    Units conversion table. Do not change the SI units;

    You may change the SI Units (and corresponding "Multiply to =")

    but be very careful!

    DO NOT INSERT ROWS INTO THIS TABLE!

    Table Name: UNITS_CONV

    Units Conversion

    Index Customary US Multiply to = SI Unit

    1 volume gallons 3.785412 liters

    2 length in 25.4 mm The format for accessing the Units Conver

    3 area ft 0.09290304 m =INDEX( units_conv, index,

    4 heat flux Btu/h-ft-F 5.678263 W/m-C returns the second column (

    5 conductivity Btu/h-ft-F 1.730735 W/m-C

    6 Heat transfer Btu/hr 0.2931 W Example7 flowrate gal/min 3.785412 liters/min Index = 8 (fouling)

    8 fouling ft-h-F/Btu 0.1761102 m-C/W formula:

    9 pipe sizes inches DN result:

    10 spec heat Btu/lb-F 4.1868 kJ/kg-C

    11 length feet 304.8 millimeters

    12 velocity ft/s 0.3048 m/s 3.2808399

    13 area ft 0.09290304 m

    14 pressure psig 6.894757 kPa(g)

    15 mass flow lb/h 0.4535924 kg/h

    16 heat of vap Btu/lb 2.326 kJ/kg

    17 dynamic v isc lb/ft-h 0.00041338 kg/m-s

    18 density lb/ft3

    16.01846 kg/m3

    Units 1 2 User Inputs FALSE

    Solve For 6 Calc Results FALSE

    Distilled WateShell 2 Mech Detail FALSE

    Raw Water Tubes General Inputs FALSE

    Tube Diameters Tube Gauges

    in US SI US Min Max

    0.25 0.250 6.35 0.250 18 27

    0.375 0.375 9.53 0.375 14 24

    0.5 0.500 12.70 0.500 13 24

    0.625 0.625 15.88 0.625 12 24

    0.75 0.750 19.05 0.750 10 24

    1 1.000 25.40 1.000 8 241.25 1.250 31.75 1.250 8 24

    1.5 1.500 38.10 1.500 8 24

    2 2.000 50.80 2.000 4 24

    Units Conversion to SI 19.05 10

    to US #N/A 24

    This worksheet has intermediate values and radio buttonlinks; do not change or delete

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    Wall Thickness

    Gauge BWG ISG Brown&Sharp

    4 0.238 0.232 0.204

    5 0.220 0.212 0.182

    6 0.203 0.192 0.162

    7 0.180 0.176 0.144

    8 0.165 0.160 0.128

    9 0.148 0.144 0.114

    10 0.134 0.128 0.102

    11 0.120 0.116 0.091

    12 0.109 0.104 0.081

    13 0.095 0.092 0.072

    14 0.083 0.080 0.064

    15 0.072 0.072 0.057

    16 0.065 0.064 0.051

    17 0.058 0.056 0.045

    18 0.049 0.048 0.040

    19 0.042 0.040 0.036

    20 0.035 0.036 0.032

    21 0.032 0.032 0.029

    22 0.028 0.028 0.025

    23 0.025 0.024 0.023

    24 0.022 0.022 0.020

    25 0.020 0.020 0.018

    26 0.018 0.018 0.016

    27 0.016 0.016 0.014

    Tube Parameters based on PitchArrangement Parallel Normal

    30 0.8660254 1

    45 0.70710678 1.41421356

    60 0.5 1.73205081

    90 1 1

    Standard Shell Sizes, Inside Diameter Shell Thickne

    inches inches mm mm inches OD, inches

    7.981 10.02 7.981 10.02 203 255 0.644 8.625

    10.02 12 10.02 12 255 305 0.73 10.75

    12 13.25 12 13.25 305 337 0.75 12.75

    13.25 15.25 13.25 15.25 337 387 0.75 14

    15.25 17.25 15.25 17.25 387 438 0.75 16

    17.25 19.25 17.25 19.25 438 489 0.75 18

    19.25 21.25 19.25 21.25 489 540 0.75 20

    21.25 23.25 21.25 23.25 540 591 0.75 22

    23.25 25 23.25 25 591 635 0.75 24

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    25 27 25 27 635 686 1 26

    27 29 27 29 686 737 1 28

    29 31 29 31 737 787 1 30

    31 33 31 33 787 838 1 32

    33 35 33 35 838 889 1 34

    35 37 35 37 889 940 1 36

    37 39 37 39 940 991 1 3839 42 39 42 991 1067 1 40

    42 45 42 45 1067 1143 1 43

    45 48 45 48 1143 1219 1 46

    48 54 48 54 1219 1372 1 49

    54 60 54 60 1372 1524 1 55

    60 66 60 66 1524 1676 1 61

    66 72 66 72 1676 1829 1 67

    72 78 72 78 1829 1981 1 73

    78 84 78 84 1981 2134 1 79

    84 90 84 90 2134 2286 1 85

    90 96 90 96 2286 2438 1 91

    96 108 96 108 2438 2743 1 97108 120 108 120 2743 3048 1 109

    120 132 120 132 3048 3353 1 121

    Correlation Coefficients for j-I and f-I

    Pitch Layo Nre a1 a2 a3 a4 b1 b2

    30 0 1.4 -0.667 1.45 0.519 48 -1

    30 10 1.36 -0.657 1.45 0.519 45.1 -0.973

    30 100 0.593 -0.477 1.45 0.519 4.57 -0.476

    30 1000 0.321 -0.388 1.45 0.519 0.486 -0.152

    30 10000 0.321 -0.388 1.45 0.519 0.372 -0.123

    45 0 1.55 -0.667 1.93 0.5 32 -1

    45 10 0.498 -0.656 1.93 0.5 26.2 -0.913

    45 100 0.73 -0.5 1.93 0.5 3.5 -0.476

    45 1000 0.37 -0.396 1.93 0.5 0.333 -0.136

    45 10000 0.37 -0.396 1.93 0.5 0.303 -0.126

    60 0 1.4 -0.667 1.45 0.519 48 -1

    60 10 1.36 -0.657 1.45 0.519 45.1 -0.973

    60 100 0.593 -0.477 1.45 0.519 4.57 -0.476

    60 1000 0.321 -0.388 1.45 0.519 0.486 -0.152

    60 10000 0.321 -0.388 1.45 0.519 0.372 -0.123

    90 0 0.97 0.667 1.187 0.37 35 -1

    90 10 0.9 -0.631 1.187 0.37 32.1 -0.0963

    90 100 0.408 -0.46 1.187 0.37 6.09 -0.60290 1000 0.107 -0.266 1.187 0.37 0.0815 -0.022

    90 10000 0.37 -0.395 1.187 0.37 0.391 -0.148

    Tube Materials and Thermal Conductivities

    Aluminum 130 130

    Brass (75 72 72

    Bronze (75 15 15

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    Cr-alloy (0. 24 24.4

    Constanta 14 14

    Copper 220 220

    Iron 26 26

    Magnesiu 95 95

    Molybdenu 64 64

    Nickel 43 43Steel (1% 20 20

    Steel (1% 27 27

    Steel (18% 12 12

    Zinc 58 58

    Pipe Sizes

    ID Pipe Size Nozzle Wt ID Pipe Size Nozzle Wt ID

    in in lb in in lb mm

    1.049 1 3 1.049 1 3 26.6446

    1.049 1.61 1.5 4 1.61 1.5 4 40.894

    1.61 2.067 2 6 2.067 2 6 52.50182.067 3.26 3 12 3.26 3 12 82.804

    3.26 4.26 4 17 4.26 4 17 108.204

    4.26 6.357 6 28 6.357 6 28 161.4678

    6.357 8.329 8 44 8.329 8 44 211.5566

    8.329 10.42 10 56 10.42 10 56 264.668

    10.42 12.39 12 90 12.39 12 90 314.706

    12.39 13.624 14 118 13.624 14 118 346.0496

    13.624 15.624 16 146 15.624 16 146 396.8496

    15.624 17.624 18 170 17.624 18 170 447.6496

    17.624 19.564 20 202 19.564 20 202 496.9256

    19.564 23.5 24 275 23.5 24 275 596.9

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    sion table is:

    2)

    i.e., US units name)

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    ss Flange Weight

    OD, mm lb lb kg

    219.075 28 28 13

    273.05 40 40 18

    323.85 61 61 28

    355.6 83 83 38

    406.4 106 106 48

    457.2 108 108 49

    508 148 148 67

    558.8 180 204 93

    609.6 204 204 93

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    660.4 210 210 95

    711.2 230 230 105

    762 240 240 109

    812.8 260 260 118

    863.6 270 270 123

    914.4 185 185 84

    965.2 300 300 1361016 310 310 141

    1092.2 330 330 150

    1168.4 360 360 164

    1244.6 380 380 173

    1397 420 420 191

    1549.4 460 460 209

    1701.8 505 505 230

    1854.2 550 550 250

    2006.6 590 590 268

    2159 630 630 286

    2311.4 675 675 307

    2463.8 720 720 3272768.6 805 805 366

    3073.4 890 890 405

    b3 b4

    7 0.5

    7 0.5

    7 0.5

    7 0.5

    7 0.5

    6.59 0.52

    6.59 0.52

    6.59 0.52

    6.59 0.52

    6.59 0.52

    7 0.5

    7 0.5

    7 0.5

    7 0.5

    7 0.5

    6.3 0.378

    6.3 0.378

    6.3 0.3786.3 0.378

    6.3 0.378

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    Pipe Size Nozzle Wt

    DN kg

    25 1.363636

    40 1.818182

    50 2.72727380 5.454545

    100 7.727273

    150 12.72727

    200 20

    250 25.45455

    300 40.90909

    350 53.63636

    400 66.36364

    450 77.27273

    500 91.81818

    600 125

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    Use this area to enter raw data. The coefficients

    To remove an entry from the database, use Tools Protection Unprotect, th

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    Octane 0

    Fluid Name Manufacturer

    Acetic Acid 0

    Butane, n 0

    Butyl Alcohol, n- 0

    CALFLO AF Petro-Canada

    CALFLO HTF Petro-Canada

    CALFLO LT Petro-Canada

    Chemtherm 550 Coastal Chemical

    Chemtherm 650 Coastal Chemical

    Chemtherm 700 Coastal Chemical

    Diphyl LANXESS Deutschland GmbH

    Diphyl DT LANXESS Deutschland GmbH

    Diphyl KT LANXESS Deutschland GmbH

    Diphyl THT LANXESS Deutschland GmbH

    DOWCAL 10/DOWTHERM 10 - 30 vol% Dow Chemical

    DOWCAL 10/DOWTHERM 10 - 40 vol% Dow Chemical

    DOWCAL 10/DOWTHERM 10 - 50 vol% Dow Chemical

    DOWCAL 20/DOWFROST 20 - 30 vol% Dow Chemical

    DOWCAL 20/DOWFROST 20 - 40 vol% Dow Chemical

    DOWCAL 20/DOWFROST 20 - 50 vol% Dow ChemicalDOWCAL N/DOWFROST - 30 vol% Dow Chemical

    DOWCAL N/DOWFROST - 40 vol% Dow Chemical

    DOWCAL N/DOWFROST - 50 vol% Dow Chemical

    DOWFROST - 30 vol% Dow Chemical

    DOWFROST - 40 vol% Dow Chemical

    DOWFROST - 50 vol% Dow Chemical

    DOWFROST HD - 30 vol% Dow Chemical

    DOWFROST HD - 40 vol% Dow Chemical

    DOWFROST HD - 50 vol% Dow Chemical

    DOWTHERM 4000 - 30 Vol% Dow Chemical

    DOWTHERM 4000 - 40 Vol% Dow Chemical

    DOWTHERM 4000 - 50 Vol% Dow ChemicalDOWTHERM A Dow Chemical

    DOWTHERM G Dow Chemical

    DOWTHERM J Dow Chemical

    DOWTHERM MX Dow Chemical

    DOWTHERM Q Dow Chemical

    DOWTHERM RP Dow Chemical

    DOWTHERM SR-1 - 30 Vol% Dow Chemical

    DOWTHERM SR-1 - 40 Vol% Dow Chemical

    DOWTHERM SR-1 - 50 Vol% Dow Chemical

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    DOWTHERM T Dow Chemical

    DURATHERM 450 Duratherm, division of Frontier

    DURATHERM 600 Duratherm, division of Frontier

    DURATHERM 630 Duratherm, division of Frontier

    DURATHERM FG Duratherm, division of Frontier

    DURATHERM G Duratherm, division of Frontier

    DURATHERM Lite Duratherm, division of Frontier

    DURATHERM LT Duratherm, division of Frontier

    DURATHERM S Duratherm, division of Frontier

    DURATHERM XLT-120 Duratherm, division of Frontier

    DURATHERM XLT-50 Duratherm, division of Frontier

    Dynalene 600 Dynalene

    Dynalene BioGlycol - 20 Vol% Dynalene

    Dynalene BioGlycol - 40 Vol% Dynalene

    Dynalene BioGlycol - 60 Vol% Dynalene

    Dynalene EG - 20 Vol% Dynalene

    Dynalene EG - 40 Vol% Dynalene

    Dynalene EG - 60 Vol% Dynalene

    Dynalene HC-10 Dynalene

    Dynalene HC-20 Dynalene

    Dynalene HC-30 Dynalene

    Dynalene HC-40 Dynalene

    Dynalene HC-50 Dynalene

    Dynalene HF Dynalene

    Dynalene HF-LO Dynalene

    Dynalene HT Dynalene

    Dynalene LO-170 Dynalene

    Dynalene LO-230 Dynalene

    Dynalene MV Dynalene

    Dynalene PG - 20 Vol% Dynalene

    Dynalene PG - 40 Vol% DynaleneDynalene PG - 60 Vol% Dynalene

    Dynalene PG - 80 Vol% Dynalene

    Dynalene SF Dynalene

    Ethyl Alcohol 0

    Glycerol 0

    Hexane 0

    Marlotherm FP Sasol

    Marlotherm LH Sasol

    Marlotherm N Sasol

    Marlotherm SH Sasol

    Methyl Alcohol 0

    MultiTherm 503 MultiThermMultiTherm FF-1 MultiTherm

    MultiTherm IG-1 MultiTherm

    MultiTherm IG-4 MultiTherm

    MultiTherm OG-1 MultiTherm

    MultiTherm PG-1 MultiTherm

    MultiTherm ULT-170 MultiTherm

    MultiTherm WB+14 MultiTherm

    MultiTherm WB-22 MultiTherm

    MultiTherm WB-40 MultiTherm

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    MultiTherm WB-5 MultiTherm

    MultiTherm WB-58 MultiTherm

    Octane 0

    Paratherm CR Paratherm

    Paratherm GLT Paratherm

    Paratherm HE Paratherm

    Paratherm HR Paratherm

    Paratherm LR Paratherm

    Paratherm MG Paratherm

    Paratherm MR Paratherm

    Paratherm NF Paratherm

    Pentane 0

    Petro-Therm Petro-Canada

    Propyl Alcohol, i- 0

    Propyl Alcohol, n- 0

    PURITY FG Petro-Canada

    SYLTHERM 800 Dow Chemical

    SYLTHERM HF Dow Chemical

    SYLTHERM XLT Dow Chemical

    Thermalane 600 Coastal Chemical

    Thermalane 800 Coastal Chemical

    Therminol 55 Solutia

    Therminol 59 Solutia

    Therminol 62 Solutia

    Therminol 66 Solutia

    Therminol 72 Solutia

    Therminol 75 Solutia

    Therminol D-12 Solutia

    Therminol LT Solutia

    Therminol VLT Solutia

    Therminol VP-1 SolutiaTherminol VP-3 Solutia

    Therminol XP Solutia

    Water NA

    XCELTHERM 445FP Radco

    XCELTHERM 500 Radco

    XCELTHERM 600 Radco

    XCELTHERM HT Radco

    XCELTHERM LV1 Radco

    XCELTHERM MK1 Radco

    XCELTHERM XT Radco

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    re calculated, ready to be pasted (use "Paste Special Values") onto the corresp

    n delete the row with the offending compound Units that the original data a

    Temperature

    Density

    Specific Heat

    Thermal Conductivity

    Viscosity

    Heat of Vaporization

    Fluid Name: Octane

    Manufacturer:

    Description: pure comp

    Operating range:

    Source: Yaw's Han

    Liquid

    Temp. Density Sp. Heat

    C kg/cu.m. KJ/kg-K

    Enter values at SIX temperatures -->>> -20 732.5191 2.128494

    20 702.5186 2.218223

    60 670.5874 2.315248

    100 636.161 2.435187

    120 617.7531 2.508629

    140 598.3474 2.593657

    The charts graph the input and predicted data. Large deviations may indicate a data entry error

    0

    100

    200

    300

    400

    500

    600

    700

    800

    -50 0 50 100 150

    Density

    0

    0.5

    1

    1.5

    2

    2.5

    3

    -50 0 50 100

    Specific Heat

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    pure component 0 0

    Description Temp Use Range (deg C)

    Liquid

    Low High

    pure component 0 0

    pure component 0 0

    pure component 0 0

    99.9% pure base oils, crystal-clear, free of aromatic compounds with additives 15 315

    99.9% pure base oils, crystal-clear, free of aromatic compounds with additives 15 326

    Synthetic poly-alpha-olefins 4 288

    Premium oil more thermally stable than mineral oils 93.3333333 315.555556

    Premium high temperature oil resists oxidation 10 343.333333

    Premium high temperature single compound formulation 37.7777778 351.666667

    High-temperature HTF based on diphenyl oxide/diphenyl eutectic for liq and vap phase 13 400

    Isomeric ditolyl ethers with broad spectrum of applications in liq phase -30 330

    Synthetic mixture of isomeric bynzyl toluenes with high thermal stability -45 350

    Partially hydrogenated terphenyls for pressureless high temperature applications 0 345

    Ethylene glycol with inhibitor package -10 170

    Ethylene glycol with inhibitor package -20 170

    Ethylene glycol with inhibitor package -35 170

    Propylene glycol with inhibitor package 0 170

    Propylene glycol with inhibitor package -15 170

    Propylene glycol with inhibitor package -30 170Propylene glycol with inhibitor package, food grade -10 100

    Propylene glycol with inhibitor package, food grade -20 100

    Propylene glycol with inhibitor package, food grade -30 100

    Propylene glycol with inhibitor package -10 100

    Propylene glycol with inhibitor package -20 100

    Propylene glycol with inhibitor package -30 100

    Propylene glycol with inhibitor package, dyed bright yellow -10 100

    Propylene glycol with inhibitor package, dyed bright yellow -20 100

    Propylene glycol with inhibitor package, dyed bright yellow -30 100

    Ethylene glycol with inhibitors, dyed fluorescent orange -10 120

    Ethylene glycol with inhibitors, dyed fluorescent orange -20 120

    Ethylene glycol with inhibitors, dyed fluorescent orange -30 120Biphenyl and diphenyl oxide eutectic mixture - liquid phase properties 15 400

    Di- and tri-aryl compounds mixture -6 360

    Mixture of isomers of an alkylated aromatic -80 315

    Mixture of alkylated aromatics -20 330

    Mixture of diphenylethane and alkylated aromatics -35 330

    Synthetic diaryl alkyl liquid 10 350

    Ethylene glycol with inhibitors, dyed fluorescent pink -10 120

    Ethylene glycol with inhibitors, dyed fluorescent pink -20 120

    Ethylene glycol with inhibitors, dyed fluorescent pink -30 120

    Density Predicted Specific Heat Predicted

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    Mixture of C14-C30 alkyl benzenes -10 288

    Refined oil, non-aromatic 0 230

    Refined and hydrotreated paraffinic oils, non-toxic and non-reportable 0 315

    Refined and hydrotreated paraffinic oils, non-toxic and non-reportable 20 332

    Refined paraffinic oils with additives, food grade 20 332

    Polyalkylene glycol based fluid with additives 20 260

    Same as Duratherm 600, but with fewer additives 0 315

    Refined oil, non-aromatic -35 315

    Refined oil, non-aromatic especially resistant to oxidation -40 340

    Refined silocone oil, for cryogenic applications, food & pharma -84 65

    Refined silocone oil, for cryogenic applications, food & pharma -46 176

    Silicone-based product with enhanced resistance to oxidation 70 288

    Produced from corn, better performance than propylene glycol -6.66666667 115.555556

    Produced from corn, better performance than propylene glycol -17.7777778 115.555556

    Produced from corn, better performance than propylene glycol -28.8888889 115.555556

    Inhibited ethylene glycol -6.66666667 121.111111

    Inhibited ethylene glycol -17.7777778 121.111111

    Inhibited ethylene glycol -34.4444444 121.111111

    Aqueous-based, engineered for low temperature applications -10 60

    Aqueous-based, engineered for low temperature applications -20 60

    Aqueous-based, engineered for low temperature applications -30 60

    Aqueous-based, engineered for low temperature applications -40 60

    Aqueous-based, engineered for low temperature applications -50 60

    Biodegradable aliphatic hydrocarbon blend, food grade -80 162.777778

    Aliphatic hydrocarbon blend, non-toxic, odorless -73 177

    Synthetic organic hydrocaron 20 177

    Aliphatic hydrocarbon blend -40 205

    Aliphatic hydrocarbon blend 0 205

    Biodegradable hydrocarbon blend -112.222222 162.777778

    Propylene glycol with corrosion inhibitors -6.66666667 121.111111

    Propylene glycol with corrosion inhibitors -6.66666667 121.111111Propylene glycol with corrosion inhibitors -28.8888889 121.111111

    Propylene glycol with corrosion inhibitors -28.8888889 121.111111

    Synthetic alkylated aromatics 0 315

    pure component 0 0

    pure component 0 0

    pure component 0 0

    Isoparaffinic chemical structure, clear liquid, bland odor 60 300

    Skynthetic, organic, heat transfer medium 0 280

    Skynthetic, organic, heat transfer medium, ideal 150 to 300 deg C range 20 300

    Skynthetic, organic, heat transfer medium 20 340

    pure component 0 0

    Paraffinic hydrocarbon -5 260Flushing Fluid -18 260

    White mineral oil -20 288

    White mineral oil -10 316

    Hydrocracked mineral oil with oxidation inhibitor/stabilizer 0 290

    White mineral oil, food grade -20 316

    Hydrocarbon blend -112 38

    Water based, no flash point, for low temperature performance -10 121

    Water based, no flash point, for low temperature performance -30 121

    Water based, no flash point, for low temperature performance -40 121

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    Water based, no flash point, for low temperature performance -20 121

    Water based, no flash point, for low temperature performance -50 121

    pure component 0 0

    Synthetic hydrocarbon blend -95.5555556 218.333333

    Alkylated aromatic for closed loop liquid phase heating 35 301.666667

    Hydrotreated heavy paraffinic distillate - mineral oil 52.7777778 310

    Alkylated aromatic, for closed loop heating 25 357.222222

    Paraffinic hydrocarbon, for closed loop heating and cooling -49.4444444 248.888889

    Linear alkene, food grade 2.22222222 304.444444

    Linear alkene, fully saturated -3.88888889 248.888889

    Hydrotreated mineral oil, food grade 35.5555556 332.222222

    pure component 0 0

    Mixture of severely hydrotreated and hydrocracked petroleum 25 315

    pure component 0 0

    pure component 0 0

    Pure base oil, food grade, with additives 4 326

    Silicone fluid - dimethyl polysiloxane -40 400

    Silicone fluid - dimethyl polysiloxane -73 260

    Silicone fluid - dimethyl polysiloxane -100 260

    Premium heat transfer fluid, non-toxic, environmentally friendly 65.5555556 315.555556

    Premium heat transfer fluid, non-toxic, environmentally friendly 65.5555556 315.555556

    Alkyl aromatic derivatives -25 290

    Mixture of diphenyl alkanes -45 315

    Mixture of di- and tri-isopropyl biphenyl -20 325

    Hydrogenated terphenyl and polyphenyls 0 345

    Mixture of diphenyl ether, terphenyl, biphenyl, and phenanthrene -10 380

    Mixture of terphenyl, quaterphenyl, and phenanthrene 80 385

    Hydrotreated heavy naphtha (petroleum) -85 230

    Diethyl benzene -75 315

    Mixture of methyl cyclohexane and trimethyl pentane -115 175

    Mixture of diphenyl ether and biphenyl 12 400Mixture of cyclohexylbenzene and bicyclohexyl 2 330

    White mineral oil -20 315

    City water 4 150

    Hydroprocessed napthenic mineral oil; high flash point 20 288

    Hydrogenated polyalpha olefin -62 260

    Hydroprocessed paraffinic white mineral oil 50 343

    Synthetic alkyl aromatic -37 349

    Diphenyl ethane and diphenyl oxide mixture 7 371

    Diphenyl oxide and diphenyl 15 400

    Synthetic alkyl aromatic -57 343

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    onding line in the HTF_properties table

    e in:

    5.16 38.5994677

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    Antoine Coefficients Viscosity Constants Density = mt(deg C) + b thermal conductivit

    A B C A B C m b m

    7.095765 1455.314 219.7032524 -6.833946 3563.967 276.8476 -0.836933 718.2331 -0.00031032

    LOG(VP, mm Hg) = A + B / ((t, deg C) + C) cP = EXP(A+B/((T, deg K)+C)) kg/m3 = mt(deg C) + b W/m-K = mt(deg C

    A B C m b m

    7.61280104 1673.3465 235.6539233 -1.77875697 139.628222 -239.507339 -1 1068.66667 0

    6.83250565 946.409614 240.0761027 -5.3689507 1681.68714 167.152173 -1.03186377 601.637011 -0.000501779

    7.91163548 1619.0414 204.0887995 -9.94017218 4947.16886 156.39307 -0.8 810 -0.000173074

    2.26230342 59.8606199 -25.95580511 -2.81012363 862.729917 -172.158588 -0.61886679 876.709741 -5.39694E-05

    2.14571749 63.3160876 -24.72735114 -3.01949171 971.167036 -162.441888 -0.63704744 880.380827 -5.24039E-05

    -3.07699041 295.80735 -314.6610817 -2.94432736 771.280208 -150.474936 -0.65896583 829.792536 -8.58261E-05

    -37.9837715 123237.007 -3346.097015 -2.72003397 756.18052 -187.060596 -0.63433102 909.784454 -7.53018E-059.48506388 4973.22315 486.5437469 -3.88723617 1148.41536 -77.458893 -0.7967977 998.969388 -0.000130758

    28.9797843 69967.7155 2296.20798 -2.85235243 801.597857 -167.466984 -0.69941173 1043.82327 -0.000103607

    7.20221146 1946.56786 193.68084 -2.95622194 695.510584 -136.279632 -1.02463504 1094.60097 -0.000163869

    -5.09981535 4803.75401 -906.2417005 -2.63441952 587.992289 -159.411101 -0.87116438 1047.89247 -0.000144863

    8.82454372 3748.71673 336.9459257 -3.29046723 883.473425 -119.018457 -0.78787671 1021.96438 -0.00013226

    35.7643154 93078.0316 2471.74935 -2.56805621 631.444576 -209.147287 -0.76328811 1038.67039 -9.93216E-05

    -4.18081142 909.733925 -107.595417 -0.69488127 1059.3277 0.000323694

    -4.72704655 1202.56579 -83.1814303 -0.72116095 1073.66245 0.000282533

    -5.29129088 1555.1265 -56.1413767 -0.74828496 1087.06684 0.000250237

    -2.86784498 390.436942 -193.613817 -0.74307594 1043.92172 0.000306701

    -2.20133794 260.582798 -221.938677 -0.79859604 1053.05786 0.000220421

    -2.66533983 403.308763 -202.562555 -0.8417358 1060.73452 0.000146139-3.08252386 464.399539 -181.185017 -0.64370968 1040.8621 0.000527581

    -2.87005695 429.310358 -194.091739 -0.69306452 1049.90565 0.000396129

    -3.18080553 558.897515 -181.131448 -0.73548387 1056.85484 0.000273065

    -3.045242 463.810598 -181.232182 -0.65730675 1042.75963 0.000492448

    -2.9578147 466.738492 -188.559297 -0.64887019 1046.96257 0.000474057

    -3.42416369 657.085113 -167.978944 -0.65769786 1050.3615 0.000385743

    -3.045242 463.810598 -181.232182 -0.64224014 1052.61507 0.000492448

    -2.9578147 466.738492 -188.559297 -0.63581858 1060.21744 0.000474057

    -3.42416369 657.085113 -167.978944 -0.64961462 1067.10324 0.000385743

    -3.99338037 832.566174 -119.083818 -0.58424609 1064.74959 0.000694745

    -4.4123843 1071.20113 -98.7745604 -0.6082127 1080.97748 0.000627814

    -4.25027294 991.8804 -118.108745 -0.61823431 1094.54251 0.000578445

    8.72897534 3828.10537 392.5107135 -5.48503015 2637.3596 105.666504 -0.98934972 1091.5087 -0.00016

    28.1430775 70966.9119 2506.647171 -4.208744 1446.74664 -80.3558975 -0.77471755 1062.346 -0.000115799

    59.097408 290462.758 4950.07402 -3.07063398 638.520693 -77.403951 -0.91493913 873.679072 -0.000210713

    -416.758373 15972102 -38392.31208 -4.54701255 1505.76821 -91.4516506 -0.77585921 979.0294 -0.000105072

    25.6353331 53251.6069 2053.164001 -3.39154275 743.091582 -135.906784 -0.76281754 982.12802 -0.000148728

    -15.6439238 25860.1396 -1755.479927 -3.19903031 983.170224 -141.828205 -0.7434472 1046.4705 -0.000129669

    -3.99338037 832.566174 -119.083818 -0.54151408 1055.19949 0.000694745

    -4.4123843 1071.20113 -98.7745604 -0.54963153 1068.6496 0.000627814

    -4.25027294 991.8804 -118.108745 -0.54397093 1078.97886 0.000578445

    Thermal Conductivity Predicted Viscosity

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    20.3132266 24800.7847 1071.483568 -3.37173363 1025.67055 -139.929331 -0.68913684 887.043789 -0.000220727

    -6.65052916 8198.94117 -1156.00701 -2.74761032 674.268007 -150.950719 -0.67776556 874.500928 -7.52836E-05

    -7.66614364 5665.64899 -900.1096362 -2.90618465 903.56193 -168.873971 -0.67433792 866.394492 -5.06875E-05

    24.8346647 45060.3451 1649.092109 -2.99273743 972.314421 -160.441312 -0.6729646 870.14053 -5.29426E-05

    24.8346647 45060.3451 1649.092109 -2.99273743 972.314421 -160.441312 -0.6729646 870.14053 -5.29426E-05

    2.13587455 189.077565 17.01391236 -2.13317423 859.946884 -168.196304 -0.54570512 938.153151 -0.000149791

    -7.66614364 5665.64899 -900.1096362 -2.90618465 903.56193 -168.873971 -0.67433792 866.394492 -5.06875E-05

    14.9056254 16265.9291 1013.657369 -3.01482131 794.646368 -152.129254 -0.68415812 827.037921 -8.50181E-05

    2.6299395 181.8693 58.26576228 -3.82938429 3727.45019 178.471948 -0.46997219 976.741862 -0.000201071

    -3.01120449 165.766084 -95.92933945 -1.9215881 442.314778 -120.787412 -0.49885816 847.432843 -6.53313E-05

    5.57763185 1026.16852 178.181417 -2.66100775 567.17649 -137.006506 -0.96414298 848.450174 -9.78985E-05

    -1.97270453 2181.19609 29.0849155 -1 983 -0.000177332

    -2.83906455 403.139039 -179.040208 -0.5605716 1029.82605 0.000753011

    -1.76210182 259.453088 -209.449865 -0.64190891 1046.82337 0.000493144

    -2.12735955 490.764922 -175.45123 -0.70769845 1058.28048 0.000233571

    -3.51929213 637.366085 -135.037251 -0.52459314 1045.92863 0.000890948

    -3.92835821 860.275658 -122.034579 -0.58864285 1080.85328 0.000694526

    -4.39901578 1040.08743 -122.076833 -0.623489 1109.9764 0.000518207

    -4.27578767 1294.15173 -23.8949564 -0.69130435 1363.17391 0.001

    -5.29105882 2948.83834 163.736049 -0.498 1248.8 0.000954

    -0.5122831 242.645316 -157.837138 -0.59558824 1282.94118 0.0011

    -2.98689604 974.823436 -58.2554382 -0.7 1330 0.0009875

    -8.68421954 4625.64436 162.883606 -0.55 1362.5 0.00098

    10.4702484 4350.47796 388.8685902 -11.0043264 7574.14569 365.455443 -0.70241532 816.779716 -0.00019755

    -3.80185344 919.152443 -81.3856983 -0.75981804 777.667147 -0.0002

    -3.36183913 1050.83759 -143.20005 -0.71592357 1058.50955 -0.000131866

    -4.00909241 975.004321 -100.530572 -0.50167515 784.007404 -0.0002

    -3.18052868 851.714045 -146.012607 -0.69815357 814.927926 -0.0002

    -27.8705129 38860.6487 -1417.676868 -4.49525801 1230.87547 -17.8291423 -0.77262148 860.838771 -0.00023774

    -3.74394592 656.323421 -145.485726 -0.53046604 1028.41796 0.000828175

    -4.05786883 747.147276 -159.321194 -0.60831178 1045.76259 0.000552562-4.27097369 936.234236 -150.361442 -0.65216852 1056.38287 0.000298992

    -4.61030436 1143.83082 -143.218804 -0.79010375 1069.0127 2.6401E-06

    -3.48506455 1205.75734 -123.228873 -0.67317309 890.394634 -7.98064E-05

    8.24226184 1664.52116 232.3397815 -11.706753 8152.45002 393.04237 -0.859 806.45 0

    -38.7259008 37120.5808 525.396605 -2.6132 1293.347 0

    6.70328236 1088.11314 215.7520678 -6.66531604 3106.12647 275.229903 -0.920173 678.154718 -0.000367942

    0.71075903 588.631148 -607.782559 -4.46280906 1669.13304 -79.9072873 -0.65682095 861.644336 -6.09013E-05

    -2.76497138 699.238152 -125.207148 -0.80729276 1013.83001 -0.000115215

    -4.37009218 1719.23359 -67.8658053 -0.67166842 890.128017 -8.13221E-05

    -3.14384109 1006.84538 -143.852661 -0.71437566 1058.29801 -0.000130902

    7.97490403 1515.29299 232.9925145 -3.74186653 790.395993 -48.5241917 -0.925 810.183333 0

    -3.71515205 1037.38665 -112.624039 -0.65445205 806.945205 -6.17808E-057.51566896 3644.82103 270.4466347 -3.3434809 955.122738 -161.065638 -0.64814403 921.092095 -7.20142E-05

    -2.89037717 907.431382 -174.35564 -0.52528383 871.656695 -7.58821E-05

    -3.23842923 1030.80614 -162.583226 -0.7102096 877.674104 -7.31778E-05

    -2.66844708 863.516386 -172.933185 -0.53597908 871.68433 -3.65204E-05

    -3.15870057 876.135353 -167.030762 -0.42033079 881.665861 -7.23081E-05

    -1.69617834 283.955002 -121.548471 -0.7704 860.46 -0.0002

    -27.5351301 49896.876 1485.7617 -0.47945946 1200.67838 0.001

    -1.54976022 217.121005 -191.167196 -0.49828571 1285.35238 0.001

    -1.19730032 266.839119 -166.715718 -0.57375 1325.51875 0.001079375

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    -1.0665069 193.588581 -191.633517 -0.52806452 1249.57581 0.001

    -2.01954397 517.644659 -128.383873 -0.6 1365 0.001032571

    7.09576455 1455.31374 219.7032524 -6.83394648 3563.96711 276.847589 -0.83693261 718.23307 -0.000310324

    5.92200603 1219.83799 210.0557232 -2.78483901 568.89108 -70.8208174 -1.00816159 848.287022 -7.65213E-05

    8.35788197 3690.19194 318.4911918 -3.77429163 1137.44614 -140.259573 -0.69564974 892.810091 -0.0001413

    -4.59859581 1009.03868 -476.9550459 -3.19587269 1055.90681 -156.107582 -0.64127846 875.94107 -7.54452E-05

    19.1763873 25786.0495 1240.253276 -3.73340177 1159.41959 -121.829193 -0.76651297 971.079915 -9.94852E-05

    7.49894628 2118.74094 241.8051037 -4.05132143 992.583192 -80.5601433 -0.73774932 777.637054 -7.74155E-05

    15.5673243 14491.9443 814.9374854 -2.99507893 757.840553 -148.641263 -0.56305007 809.516314 -8.53552E-05

    -2.79779088 620.439195 -163.735706 -0.73934467 816.409984 -5.5092E-05

    3.5182312 568.508019 65.24581769 -11.0429218 7675.28364 244.627778 -0.6627339 897.731878 -5.09146E-05

    6.81500108 1036.92193 227.6362862 -4.95789137 1823.41444 215.815164 -0.95760086 644.49611 -0.000241321

    -2.60201382 745.236551 -188.098093 -0.63255801 878.7054 0

    8.07089889 1562.67722 218.6912381 -13.528855 8140.33431 275.494016 -0.81794667 801.574133 -9.24639E-05

    8.06026422 1608.42377 213.4908138 -9.37387247 4628.13723 160.10672 -0.78666667 819.433333 0.000184928

    -3.59241473 600.966544 -417.3932335 -3.02443463 966.391274 -162.616211 -0.67728573 864.727449 -5.63707E-05

    5.90147484 992.744157 125.6403618 -6.1614167 4125.90956 190.892692 -0.98671661 957.649212 -0.000188176

    16.1064662 14388.5762 864.6650653 -4.13455407 1402.53671 2.08226064 -1.01099585 891.979253 -0.000247994

    6.37879721 1168.29899 159.4351675 -3.69360075 958.056257 -54.5892356 -1.02722364 875.814952 -0.000234288

    461.789872 15857160.6 34222.77315 -3.02053199 847.182818 -177.280191 -0.7076498 922.470464 -0.000200716

    44.293078 139253.225 2981.159095 -2.88595158 889.156554 -145.172424 -0.65904521 826.583047 -0.000105031

    8.3175096 3488.54355 290.5608401 -3.31866082 932.613387 -160.748737 -0.69514286 885.807143 -0.000116571

    7.09788265 2163.09367 223.7400409 -3.74083482 1121.9099 -96.0447395 -0.77285714 989.878571 -0.000101429

    8.02567772 3088.75921 267.471565 -4.4801125 1412.17851 -112.827625 -0.76952381 970.704762 -9.86667E-05

    8.4916636 3904.17307 337.0985943 -2.9608184 798.131484 -188.788157 -0.70095238 1022.80952 -7.90952E-05

    73.3828739 710633.507 9808.291687 -4.53930814 1495.13915 -83.805334 -0.90979592 1097.94966 -0.000121429

    8.2089427 3443.03729 303.3211522 -4.97382691 2294.82476 4.20048226 -0.80095238 1109.21905 -8.92381E-05

    6.80954825 1502.08653 190.3400131 -4.2424707 1070.61217 -58.8354033 -0.77828571 774.617143 -0.000168657

    7.93448934 2207.44307 255.7319204 -4.45707701 1355.58565 16.3593493 -0.90647059 880.318627 -0.000199294

    6.90777812 1331.29053 231.3813039 -4.8590801 1392.5267 19.0588276 -0.87885714 763.121905 -0.000212457

    7.10362506 1867.1932 185.1089109 -4.08355007 1380.23833 -35.3400953 -0.92714286 1089.46857 -0.000153318.51891149 2824.42195 258.0411206 -5.23102849 2426.38103 97.6342913 -0.85238095 959.895238 -0.00013381

    7.79228636 2928.89357 238.1674682 -3.26909023 948.082045 -162.954329 -0.65885714 891.837143 -9.46571E-05

    8.02764442 1706.13419 231.4921834 -3.63376689 544.016678 -144.088981 -0.45804255 1006.34655 0.001175175

    16.7829597 15071.0082 735.1176662 -2.99332524 961.181808 -171.127745 -0.48941719 875.565199 -6.21987E-05

    13.3860976 9928.19374 645.8912869 -3.25910508 832.20635 -139.374148 -0.61042018 802.290832 -5.5929E-05

    8.29858546 3733.13719 303.7074838 -3.85114017 1092.54133 -146.328925 -0.60779676 863.976275 -8.08511E-05

    18.6859438 22435.3789 1102.3712 -3.10782307 665.013162 -170.702099 -0.71954928 1016.99503 -8.5958E-05

    -4.00273756 1273.69155 -65.5433391 -0.83460737 1080.22954 -0.000152096

    7.11697105 1876.73497 185.9894101 -4.11860533 1398.01059 -34.9854328 -0.95652688 1092.5879 -0.000157889

    11.5928627 7224.24331 549.2732776 -3.78336706 1086.94269 -92.3971227 -0.72908055 1011.04999 -0.000154216

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    Intermediate

    Visc. Calcs

    mPa-s 0.666392

    1.007647

    0.559145

    0.365747

    0.259007 0.826086

    0.220733

    0.188481

    100 150

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    y heat capacity

    b m b

    0.136418 0.002864 2.166097 13.33333 125.6667 114.231 302.38

    ) + b kJ/kg-K = mt(deg C) + b Flash Point Boiling Point Type Molecular Wt Heat Vap

    b m b kJ/kg

    0.17134277 0.00383989 1.95443811 39 118.1 60.05 395

    0.11678845 0.00350187 2.30307202 -59.4444444 -0.44444444 58.123 386.116

    0.17480424 0.01169313 2.09140629 29 117.5 74.12 581

    0.14366314 0.00329847 1.83701911 225 365 Paraffinic

    0.14403888 0.00329847 1.83701911 231 370 Paraffinic

    0.1434942 0.00360723 1.99150405 176 318

    0.13260865 0.0034882 1.85396289 172.777778 273.3333330.12835934 0.00373853 1.31179671 135 270

    0.13287851 0.00353342 1.48242067 212.777778 360

    0.14649635 0.00268394 1.50372384 115 257

    0.13729795 0.00275548 1.53041781 135 284

    0.1315863 0.00295 1.53 146 290

    0.12405587 0.00337969 1.53515084 190 352

    0.45846192 0.00275567 3.61765699

    0.4218577 0.00325805 3.43954442

    0.38885541 0.0037657 3.25266315

    0.4497307 0.00268922 3.80991917

    0.41041736 0.0032559 3.65933418

    0.37350755 0.0038111 3.48797277

    0.43979919 0.00265968 3.81265323

    0.40073871 0.00317742 3.67072581

    0.36499435 0.00374032 3.49934677

    0.43525499 0.00274731 3.79344209

    0.38573544 0.00330785 3.63518424

    0.34400839 0.00385924 3.45484651

    0.43525499 0.00285431 3.72730123

    0.38573544 0.00369215 3.52681576

    0.34400839 0.0045187 3.30051773

    0.43474258 0.00289072 3.57107056

    0.39588614 0.00342784 3.3754182

    0.35847756 0.00395428 3.16979057

    0.1419 0.00294673 1.50087617 113 257 Biphynyl, Diphenyl Oxide

    0.12872088 0.00349706 1.47564273 280 552 Di- and Tr-aryl Ethers

    0.13231658 0.0036267 1.80396464 57 181 Alkylated Aromatic

    0.12502899 0.00325 1.545 165 328

    0.12423762 0.0030301 1.59279456 120 267 Diphenylethane, Alkylated Aromatic

    0.13397371 0.00297484 1.56102795 194 353

    0.43474258 0.00283816 3.59049635

    0.39588614 0.00335327 3.40287551

    0.35847756 0.00386466 3.20613433

    Predicted

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    0.13885091 0.00298109 1.90272364 188 345

    0.1449552 0.00301606 2.02088761 150 250 Paraffinic

    0.14317386 0.00329862 1.83834771 224 380 Paraffinic

    0.14384338 0.00327941 1.84473494 229 380 Paraffinic

    0.14384338 0.00327941 1.84473494 227 410 Paraffinic

    0.16988251 0.00180192 1.90636279 267 370 Polyalkylene Glycol

    0.14317386 0.00329862 1.83834771 224 380

    0.14263538 0.0034339 2.01865812 165 325 Paraffinic

    0.1360208 0.00170301 1.62867745 323 500 Silicone

    0.13574114 0.00218345 2.02076553 98.8 500

    0.13559653 0.00266144 2.01868793 98.8 500

    0.15746727 0.00188535 1.2342126 315 315

    0.47276726 0.00582464 4.0082944

    0.38494439 0.005872 3.63075172

    0.31460708 0.00579363 3.25831109

    0.47398383 0.00233329 3.75889191

    0.39517254 0.00342636 3.37573895

    0.33280797 0.00446672 2.95325003

    0.505 0.003 3.28

    0.5021 0.00228 3.177

    0.498 0.00269118 3.01911765

    0.4895 0.0023 2.89

    0.48433333 0.002 2.67

    0.12428762 0.00454925 1.9236329 61 175

    0.1126 0.0038003 2.01912312 61 191

    0.13327172 0.00372567 1.4746586 200 385

    0.1165 0.0038 1.804 77 223

    0.151 0.0038 1.934 110 273

    0.13761016 0.00354172 1.72359297 53 176

    0.4679319 0.00219702 3.93138577

    0.38295299 0.00329164 3.637705030.31243165 0.00440998 3.25285147

    0.25753532 0.00505184 2.76340154

    0.13640672 0.00365388 1.89392488 180 330

    0.18172718 0.01502463 2.05504094 13 78.4 46.07 842

    0.28384054 0.00516771 2.28694978 160 290 92.1 663

    0.13034741 0.00308889 2.16912226 -21.6666667 68.7777778 86.177 334.944

    0.13439586 0.00376492 1.83702801 216 340

    0.13374607 0.00334785 1.54746065 130 278

    0.13678069 0.00366527 1.89241343 180 330

    0.13305666 0.00370619 1.47682057 200 385

    0.21461114 0.00431839 2.41311202 12 64.7 32.04 1100

    0.14259475 0.00381062 2.02410502 154 3380.12904705 0.00433615 1.72365933 160 271

    0.13995684 0.00364154 1.81319481 228 374

    0.13559878 0.0045476 1.86352603 227 411 Mineral Oil

    0.13951144 0.00356313 1.79428338 235 373 Mineral Oil

    0.13442697 0.00363286 1.80543579 171 349 Mineral Oil

    0.1377 0.00350235 1.72495098 53 176

    0.506 0.00252973 3.28047748

    0.499 0.00222857 3.04142857

    0.48637813 0.002195 2.891425

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    0.505 0.00226774 3.18140323

    0.48445714 0.00208 2.662

    0.13641828 0.00286394 2.16609689 13.3333333 125.666667 114.231 302.38

    0.14164255 0.0037174 1.84633448 40 180

    0.13285792 0.0032052 1.87404783 182 500

    0.13425309 0.00364665 1.81142333 221 500 Mineral Oil

    0.12234573 0.00222055 1.89941505 160 335

    0.1526359 0.00387399 1.92479404 54 200

    0.13505709 0.00202855 2.33376639 149 400

    0.13418188 0.00191976 2.33863189 135 500

    0.10576108 0.00528662 1.71808775 157 500 Mineral Oil

    0.15371749 0.00316065 2.1967238 -49.4444444 36.0555556 72.15 357.5062

    0 0.00327427 1.84241763 225 376

    0.16129028 0.01273017 2.42855047 12 82.5 60.1 663

    0.15683304 0.00977991 2.23169058 15 97.8 60.1 695

    0.13906795 0.00339251 1.80609427 209 382

    0.1387839 0.00170771 1.57416438 160 330

    0.11195563 0.00246346 1.63259091 63 210

    0.1135478 0.0021 1.73 47 175

    0.17002444 0.00395114 1.69192974 176.666667 269.444444

    0.15297588 0.0030145 2.18885904 229.444444 376.666667

    0.13072857 0.00354229 1.83508571 177 340 Synthetic Hydrocarbon

    0.12321429 0.00333429 1.61405714 138 289 Alkyl Substituted Aromatic

    0.12509333 0.00221667 1.902 149 310

    0.12014762 0.00357762 1.48585714 170 359 Modified Terphenyl

    0.14198571 0.00270898 1.49818503 132 271

    0.13859143 0.00241143 1.54337143 185 343

    0.11206843 0.004052 2.02182 59 192

    0.12841373 0.00370588 1.71905882 57 181

    0.10692457 0.00422743 1.86639238 -6.2 99.2

    0.14195257 0.00276405 1.49441714 110 2570.12027238 0.00405143 1.53084952 104 243

    0.11761114 0.00422914 1.73669714 199 358

    0.56890349 0.00017023 4.19298145 0 100 18.02 2260

    0.1338866 0.00376284 2.04314311 229 357 Paraffinic

    0.13773874 0.00418753 2.07618376 163 500 PAO Synthetic

    0.13770646 0.00342547 1.92333177 193 301 Paraffinic

    0.11911152 0.00331291 1.33668852 160 305

    0.14060544 0.00280399 1.51670064 122 258

    0.14225075 0.00280956 1.48942975 124 257

    0.13665885 0.00309044 1.64091423 121 275

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    Selectio

    Temperature

    Specific Gravi

    Specific Heat

    Thermal Con

    Viscosity

    Heat of Vapor

    Temp.

    C

    -20

    20

    60

    100

    120

    140

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    -20 20 60 100

    Raw Data - Units may be converted from original sou

    Temperature Points, deg C

    1 2 3 4

    0 20 40 60

    -60 -40 -30 -20

    0 20 40 60

    15 40 40 100

    15 40 40 100

    15 40 40 100

    37.7777778 93.3333333 148.888889 204.44444410 37.7777778 121.111111 204.444444

    37.7777778 93.3333333 148.888889 204.444444

    20 60 100 200

    -30 10 90 170

    -40 0 80 160

    20 60 100 180

    0 25 50 100

    0 25 50 100

    0 25 50 100

    0 25 50 100

    0 25 50 100

    0 25 50 1000 25 50 75

    0 25 50 75

    0 25 50 75

    10 10 40 65

    -20 10 40 65

    -30 -20 10 65

    10 10 40 65

    -20 10 40 65

    -30 -20 10 65

    -10 10 40 65

    -20 10 40 65

    -30 -20 10 65

    15 65 155 205

    -5 15 115 195

    -80 -60 0 80

    -20 40 160 220

    -35 0 80 160

    10 70 130 190

    -10 10 40 65

    -20 10 40 65

    -30 -20 10 65

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    -10 40 140 190

    -1 49 99 149

    -20 10 80 160

    15 75 145 205

    15 75 145 205

    10 38 93 143

    -20 10 80 160

    -40 -10 60 140

    -40 -12 60 138

    -84 -68 -29 -1

    -40 -29 38 77

    70 100 130 170

    -6.66666667 10 37.7777778 60

    -17.7777778 -1.11111111 26.6666667 48.8888889

    -28.8888889 -12.2222222 15.5555556 37.7777778

    -6.66666667 4.44444444 21.1111111 37.7777778

    -17.7777778 -1.11111111 21.1111111 37.7777778

    -34.4444444 -17.7777778 10 32.2222222

    -10 0 10 20

    -20 0 10 20

    -30 -10 10 20

    -40 -20 0 20

    -50 -30 -10 10

    -62.2222222 -40 15.5555556 60

    -73 -60 0 50

    20 40 100 160

    -40 -30 10 60

    0 10 50 90

    -106.666667 -84.4444444 -28.8888889 15.5555556

    -6.66666667 -1.11111111 15.5555556 37.7777778

    -17.7777778 -12.2222222 10 32.2222222-34.4444444 -28.8888889 -1.11111111 26.6666667

    -34.4444444 -28.8888889 -1.11111111 26.6666667

    0 20 90 160

    -10 0 10 20

    60 80 100 120

    -20 0 20 40

    20 60 100 160

    0 40 100 160

    0 40 100 160

    0 40 100 160

    -10 0 10 20

    -20 0 60 120-18 38 93 149

    -20 -10 40 120

    -10 0 60 140

    -10 0 60 120

    -30 -20 40 100

    -125 -100 -75 -50

    -10 0 25 50

    -25 0 25 50

    -40 -25 0 25

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    -20 0 25 50

    -50 -25 0 25

    -20 20 60 100

    -101.111111 -73.3333333 -17.7777778 37.7777778

    -6.66666667 37.7777778 93.3333333 148.888889

    15.5555556 37.7777778 93.3333333 148.888889

    10 37.7777778 121.111111 176.666667

    -73.3333333 -40 15.5555556 93.3333333

    -17.7777778 10 65.5555556 148.888889

    -17.7777778 10 37.7777778 93.3333333

    10 37.7777778 93.3333333 148.888889

    -50 -30 -10 10

    15 38 260 260

    -10 0 20 40

    -10 0 20 40

    15 40 40 100

    -40 0 120 240

    -73 -70 -20 80

    -100 -20 60 140

    37.7777778 93.3333333 148.888889 204.444444

    37.7777778 93.3333333 148.888889 204.444444

    -25 25 75 125

    -45 15 75 135

    -20 40 100 160

    0 60 120 180

    -10 60 130 200

    80 140 200 260

    -85 -35 15 65

    -75 -25 25 75

    -115 -65 -15 35

    12 72 132 1922 62 122 182

    -20 30 80 130

    4 25 50 80

    10 26.7 104.4 171.1

    -62 -40 -17.8 71.1

    10 26.7 104.4 171.1

    -37.2 -17.8 48.9 148.9

    7.2 48.9 126.7 204.4

    15.6 48.9 126.7 204.4

    -45.6 -17.8 48.9 148.9

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    Values for Radio Buttons - this worksheet

    2

    ty 2

    2

    uctivity 2

    1

    ization 2

    0

    Predicted values in units of the table Predicted values in same units as input

    Liquid Thermal Liquid Thermal

    Density Sp. Heat Conduct. Visc. Density Sp. Heat Conduct. Visc.

    kg/m3 kJ/kg-K W/m-K mPa-s kg/cu.m. kJ/kg-K W/m-K cP

    734.9717223 2.108818 0.142625 0.896327288 734.9717 2.108818 0.142625 0.89632729

    701.4944179 2.223376 0.130212 0.559145157 701.4944 2.223376 0.130212 0.55914516

    668.0171134 2.337934 0.117799 0.371073781 668.0171 2.337934 0.117799 0.37107378

    634.539809 2.452491 0.105386 0.259007094 634.5398 2.452491 0.105386 0.25900709

    617.8011567 2.50977 0.099179 0.219901963 617.8012 2.50977 0.099179 0.21990196

    601.0625045 2.567049 0.092973 0.188480879 601.0625 2.567049 0.092973 0.18848088

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    120 140 732.5191 702.5186186 670.5874 636.161 617.753128 598.347424 2.12849379

    rce

    Density, kg/m3 Specific Heat,

    5 6 1 2 3 4 5 6 1

    80 100 1068.66667 1048.666667 1028.66667 1008.66667 988.666667 968.666667 1.9594224

    -10 10 662.655526 643.1987777 633.154975 622.875617 612.338098 590.378636 2.10244957

    80 100 0 0 0 0 0 0 2.0934

    260 316 866.598686 852.182072 852.182072 815.339614 716.025162 680.78455 1.88406

    260 316 869.802378 855.385764 855.385764 816.94146 714.423316 679.182704 1.88406

    260 260 818.543306 804.126692 804.126692 764.080542 658.358706 658.358706 2.051532

    260 315.555556 885.820838 850.580226 815.339614 780.099002 744.85839 709.617778 2.009664260 343.333333 986.737136 967.514984 906.644836 840.96915 794.515616 719.228854 1.318842

    260 315.555556 1017.17221 978.727906 940.283602 900.237452 861.793148 823.348844 1.611918

    300 400 1061 1031 998 905 796 670 1.557

    250 330 1062 1037 980 913 835 746 1.448

    240 320 1046 1021 965 904 836 761 1.412

    260 360 1018 992 965 907 844 758 1.603

    150 170 1051 1042 1031 999 955 934 3.62

    150 170 1065 1056 1044 1011 965 944 3.44

    150 170 1078 1069 1056 1022 975 952 3.25

    130 160 1036 1026 1013 977 949 917 3.81

    130 160 1045 1034 1019 981 951 917 3.66

    130 160 1053 1040 1025 984 953 918 3.49100 120 1036 1026 1013 996 977 959 3.81

    100 120 1045 1034 1019 1002 981 962 3.67

    100 120 1052 1040 1024 1005 984 964 3.5

    90 120 1033.71 1033.71 1019.56 1004.26 985.77 959.35 3.821

    90 120 1053.16 1042.14 1026.49 1009.9 990.1 962.08 3.569

    90 120 1064.83 1061.71 1049.25 1014.4 993.42 964 3.339

    90 120 1043.85 1043.85 1029.85 1014.87 996.86 971.26 3.756

    90 120 1066.76 1055.38 1039.77 1023.55 1004.39 977.53 3.453

    90 120 1081.98 1078.51 1065.4 1030.83 1010.61 982.63 3.165

    90 120 1067.26 1058.99 1044.22 1029.74 1013.29 990.96 3.542

    90 120 1089.06 1075.9 1059.95 1044.52 1027.16 1003.77 3.307

    90 120 1109.98 1105.84 1091.59 1058.37 1040.23 1015.96 3.051

    305 405 1063.5 1023.7 947.8 902.5 801.3 672.5 1.558

    275 375 1066.2 1050.7 973.3 911.3 849.3 771.8 1.458

    160 320 931.3 921 878.5 817.4 749.2 560.4 1.584

    280 340 989.8 948.2 860.4 813.2 763 708.2 1.48

    240 360 1011.4 980.5 920 859.5 799 708.3 1.478

    310 370 1036.2 994.2 951.7 908.3 817.4 768.1 1.591

    90 120 1055.47 1049.91 1037.92 1024.59 1008.2 984.53 3.562

    90 120 1073.23 1064.73 1051.85 1037.76 1020.63 996.06 3.336

    90 120 1090.31 1088.15 1078.72 1050.05 1032.15 1006.66 3.09

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    290 320 893.9 859.5 790.6 756.1 687.2 666.5 1.873

    199 232 877.01 842.89 800.92 774.81 740.69 717.95 2.018

    240 320 879.86 859.64 812.48 758.52 704.55 650.59 1.772

    265 335 860.04 819.69 772.53 732.18 691.84 644.68 1.892

    265 335 860.04 819.69 772.53 732.18 691.84 644.68 1.892

    199 260 931 915 888.01 863.72 836.73 789 1.913

    240 320 879.86 859.64 812.48 758.52 704.55 650.59 1.772

    220 310 854.13 833.71 786.05 731.68 677.22 614.21 1.882

    221 310 997.36 982.38 947.43 909.98 872.54 832.59 1.561

    32 65 889 881 862 849 832 814 1.842

    121 176 868 863 830 808 750 641 1.926

    230 288 913 883 853 813 753 695 1.366

    82.22222222 115.555556 1028.86569 1023.899963 1012.36667 1000.51301 986.096398 959.665939 3.97746

    82.22222222 115.555556 1052.57301 1046.806361 1033.99159 1021.01664 996.668581 966.553876 3.516912

    82.22222222 115.555556 1072.11553 1065.868328 1052.09245 1038.15639 1002.91578 969.917753 3.098232

    60 104.444444 1046.96655 1042.801746 1036.07399 1028.38513 1016.69166 988.659351 3.7429992

    60 104.444444 1088.13399 1081.085865 1070.3535 1061.22298 1047.76747 1016.2111 3.3159456

    60 104.444444 1127.69958 1120.331092 1106.55522 1093.2599 1074.83867 1040.87953 2.8009692

    40 50 1370 1364 1358 1346 1335 1330 3.25

    40 50 1259 1249 1244 1238 1228 1225 3.13

    40 50 1305 1285 1275 1270 1260 1255 2.94

    40 50 1358 1344 1330 1316 1302 1295 2.798

    30 50 1390 1379 1368 1357 1346 1335 2.57

    104.4444444 148.888889 860.191302 845.774688 805.728538 773.691618 743.256544 712.82147 1.6454124

    110 177 833 823 778 740 694 643 1.742

    220 280 1044 1030 987 944 901 858 1.549

    120 205 804 799 779 754 724 681 1.652

    150 205 815 808 780 752 710 672 1.934

    60 126.666667 943.487294 925.866988 882.617146 848.97838 815.339614 762.478696 1.3481496

    71.11111111 104.444444 1028.86569 1027.424024 1021.81756 1012.36667 993.625074 969.11683 3.9188448

    60 104.444444 1052.57301 1050.810976 1042.16101 1030.94809 1013.48796 977.12606 3.57971460 104.444444 1074.03774 1072.115528 1060.74242 1045.3647 1021.81756 981.611229 3.1024188

    60 104.444444 1095.34229 1091.33768 1070.51368 1049.04895 1022.4583 985.295475 2.574882

    240 315 890 877 830 783 729 678 1.894

    30 40 815.04 806.45 797.86 789.27 780.68 772.09 1.9133676

    140 160 1136.555 1084.291 1032.027 979.763 927.499 875.235 2.595816

    60 80 695.289958 678.3378428 660.759705 642.457878 623.307433 603.14435 2.11965704

    220 300 847 822 797 758 718 663 1.95

    220 300 1010 980 936 890 839 766 1.55

    220 300 890 863 823 783 743 688 1.89

    220 300 1058 1030 987 944 901 844 1.48

    30 40 819.433333 810.1833333 800.933333 791.683333 782.433333 773.183333 2.365542

    180 260 820 807 768 728 689 637 1.948204 260 932 897 861 825 789 752 1.63

    220 320 884 879 850 805 752 708 1.742

    200 300 882 875 837 783 740 659 1.818

    200 300 879 872 839 805 763 713 1.777

    180 320 894 890 865 840 806 747 1.696

    0 50 956.76 937.5 918.24 898.98 860.46 821.94 1.287

    75 100 1205 1200 1190 1177 1165 1152 3.25

    75 100 1298 1285 1273 1260 1249 1235 3

    50 100 1350 1340 1325 1310 1295 1270 2.8

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    75 100 1258 1249 1240 1224 1210 1195 3.13

    50 100 1395 1380 1365 1350 1335 1305 2.56

    120 140 732.519128 702.5186186 670.5874 636.161025 617.753128 598.347424 2.12849379

    93.33333333 204.444444 950.215047 922.1827422 866.278317 810.213707 754.149097 642.180061 1.47040416

    226.6666667 315.555556 897.03376 864.99684 832.95992 784.90454 736.84916 672.77532 1.842192

    226.6666667 315.555556 865.957948 851.7015182 816.140537 780.419371 730.601961 673.576243 1.86815016

    260 371.111111 961.1076 945.08914 881.0153 832.95992 768.88608 688.79378 1.925928

    148.8888889 232.222222 831.838628 807.0100148 766.162942 708.816855 667.809597 606.298711 1.64080692

    232.2222222 315.555556 840.96915 810.534076 756.071312 700.006702 669.571628 655.155014 2.30274

    148.8888889 204.444444 840.96915 810.534076 781.700848 735.247314 700.006702 677.580858 2.30274

    232.2222222 315.555556 890.626376 873.00607 836.163612 799.321154 743.256544 688.79378 1.758456

    30 50 691.026503 673.416052 655.144787 636.105515 616.159837 595.123966 2.05220124

    316 316 869 855 714 714 679 679 1.89

    60 80 809.7536 801.5741333 785.2152 768.856267 752.497333 736.1384 2.30274

    60 80 827.3 819.4333333 803.7 787.966667 772.233333 756.5 2.135268

    260 316 853.783918 837.765458 837.765458 797.719308 688.79378 650.349476 1.8673128

    320 400 990.61 953.16 846.35 734.35 648.24 547 1.506

    180 260 965.78 962.75 912.2 811.1 710 629.12 1.453

    220 280 978.5 896.4 814.2 732 649.8 588.2 1.52

    260 315.555556 892.228222 856.98761 820.145152 780.099002 740.052852 695.201164 1.842192

    260 315.555556 800.923 765.682388 728.83993 691.997472 655.155014 618.312556 2.30274

    175 275 901 868 835 801 766 692 1.744

    195 315 1020 978 934 890 843 741 1.472

    220 280 982 940 897 852 803 750 1.832

    240 300 1020 981 941 899 856 809 1.495

    270 340 1110 1040 979 916 853 789 1.471

    320 380 1040 998 953 905 855 799 1.709

    115 215 835 801 766 729 691 600 1.694

    175 275 939 901 862 821 732 619 1.432

    85 135 862 820 778 735 690 641 1.374

    252 372 1070 1020 972 920 865 733 1.523242 302 942 909 869 819 759 684 1.516

    180 280 903 872 840 808 775 705 1.617

    100 100 1000 997.045 988.037 971.83 958.365 958.365 4.216

    226.7 287.8 870.7 862.51 824.42 791.8 764.63 734.73 2.0817

    143.3 260 840.23 826.67 813.11 758.87 714.8 643.61 1.816

    226.7 315 857.81 847.72 800.56 760.09 726.32 672.36 1.956

    248.9 349 1043.8 1029.8 981.8 909.8 837.9 765.9 1.213

    304.4 371.1 1074.2 1039.43 974.52 909.61 826.16 770.52 1.532

    304.4 398.9 1068.5 1041.3 977.2 909.9 812.2 695.3 1.532

    248.9 343.3 1044.16 1024.18 976.22 904.27 823.33 764.39 1.5

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    2.2182232 2.315248324 2.43518687 2.50862922 2.59365655 0.14198014 0.13053412 0.11844908 0.10572504

    kJ/kg-K Thermal Conductivity, W/m-K

    2 3 4 5 6 1 2 3 4

    2.030598 2.1059604 2.177136 2.260872 2.344608 0.17134277 0.17134277 0.17134277 0.17134277

    2.1602883 2.192070262 2.22634224 2.26354046 2.34846045 0.14670974 0.13692707 0.13195986 0.12694206

    2.323674 2.553948 2.805156 3.014496 3.265704 0.17480424 0.17134277 0.1678813 0.16441983

    1.967796 1.967796 2.177136 2.679552 2.888892 0.14192027 0.14192027 0.14192027 0.1384588

    1.967796 1.967796 2.177136 2.679552 2.888892 0.14365101 0.14192027 0.14192027 0.1384588

    2.135268 2.135268 2.344608 2.93076 2.93076 0.14192027 0.14018954 0.14018954 0.13499733

    2.177136 2.344608 2.553948 2.763288 2.972628 0.12980513 0.12547829 0.1214976 0.11717076

    1.4528196 1.77939 2.114334 2.30274 2.553948 0.12755517 0.12322833 0.11249778 0.10090185

    1.821258 2.0054772 2.19807 2.40741 2.595816 0.12893976 0.12322833 0.11734383 0.11163241

    1.665 1.772 2.041 2.309 2.577 0.144 0.137 0.13 0.112

    1.558 1.778 1.999 2.219 2.44 0.142 0.136 0.124 0.112

    1.53 1.766 2.002 2.238 2.474 0.136 0.131 0.122 0.112

    1.738 1.873 2.143 2.414 2.752 0.12 0.118 0.115 0.108

    3.69 3.75 3.89 4.03 4.09 0.437 0.467 0.491 0.514

    3.52 3.6 3.77 3.93 3.99 0.404 0.43 0.449 0.469

    3.35 3.44 3.63 3.82 3.89 0.374 0.396 0.412 0.43

    3.88 3.94 4.08 4.16 4.24 0.431 0.459 0.479 0.499

    3.74 3.82 3.99 4.08 4.18 0.395 0.417 0.433 0.448

    3.58 3.68 3.87 3.98 4.1 0.361 0.378 0.39 0.4013.88 3.95 4.01 4.08 4.13 0.428 0.456 0.476 0.489

    3.75 3.83 3.91 3.99 4.05 0.391 0.413 0.429 0.438

    3.59 3.69 3.78 3.87 3.95 0.357 0.374 0.385 0.392

    3.821 3.903 3.972 4.041 4.123 0.4344 0.4344 0.4622 0.4771

    3.668 3.768 3.85 3.933 4.032 0.3635 0.3936 0.415 0.4262

    3.378 3.493 3.706 3.802 3.918 0.3246 0.3336 0.356 0.3792

    3.756 3.841 3.913 3.984 4.07 0.4344 0.4344 0.4622 0.4771

    3.564 3.674 3.767 3.859 3.97 0.3635 0.3936 0.415 0.4262

    3.21 3.346 3.594 3.707 3.843 0.3246 0.3336 0.356 0.3792

    3.6 3.687 3.759 3.831 3.918 0.4154 0.442 0.4731 0.4909

    3.41 3.512 3.598 3.684 3.787 0.3707 0.4053 0.4312 0.4462

    3.091 3.209 3.427 3.526 3.644 0.3333 0.3442 0.3724 0.40621.701 1.954 2.083 2.373 2.725 0.1395 0.1315 0.1171 0.1091

    1.528 1.878 2.158 2.437 2.787 0.1293 0.127 0.1154 0.1061

    1.616 1.769 2.023 2.315 3.04 0.1485 0.1453 0.1326 0.1156

    1.675 2.065 2.26 2.455 2.65 0.127 0.121 0.108 0.102

    1.589 1.842 2.088 2.327 2.672 0.128 0.1244 0.1143 0.1028

    1.769 1.948 2.126 2.483 2.662 0.1327 0.1249 0.1171 0.1093

    3.619 3.704 3.775 3.846 3.931 0.4154 0.442 0.4731 0.4909

    3.436 3.537 3.621 3.705 3.805 0.3707 0.4053 0.4312 0.4462

    3.129 3.245 3.457 3.554 3.67 0.3333 0.3442 0.3724 0.4062

  • 5/28/2018 Heat_Exchangers Sizing Suparma

    62/85

    2.022 2.32 2.469 2.767 2.857 0.141 0.13 0.108 0.097

    2.169 2.319 2.47 2.621 2.721 0.145 0.142 0.137 0.133

    1.872 2.103 2.363 2.633 2.893 0.144 0.143 0.139 0.135

    2.093 2.323 2.513 2.714 2.944 0.143 0.14 0.136 0.133

    2.093 2.323 2.513 2.714 2.944 0.143 0.14 0.136 0.133

    1.968 2.079 2.18 2.292 2.345 0.169 0.164 0.156 0.148

    1.872 2.103 2.363 2.633 2.893 0.144 0.143 0.139 0.135

    1.983 2.223 2.503 2.774 3.082 0.146 0.143 0.138 0.131

    1.614 1.724 1.862 2.005 2.159 0.144 0.138 0.125 0.108

    1.879 1.95 2.01 2.081 2.177 0.141 0.14 0.138 0.136

    1.95 2.093 2.211 2.345 2.5 0.138 0.138 0.133 0.13

    1.423 1.479 1.555 1.668 1.777 0.1451 0.1397 0.1344 0.1273

    4.061196 4.228668 4.354272 4.479876 4.689216 0.45345257 0.4794136 0.51056683 0.53479712

    3.642516 3.76812 3.935592 4.103064 4.312404 0.36518509 0.38422317 0.40672273 0.41710714

    3.181968 3.34944 3.475044 3.726252 3.935592 0.30114789 0.30980157 0.32364745 0.33057039

    3.76812 3.809988 3.8476692 3.8979108 4.0025808 0.45691404 0.47422139 0.49845168 0.51748977

    3.370374 3.4499232 3.5043516 3.579714 3.7346256 0.37383876 0.39287685 0.4153764 0.42922228

    2.8721448 2.9977488 3.098232 3.2196492 3.4206156 0.30807083 0.32191671 0.34268553 0.35653141

    3.28 3.31 3.34 3.4 3.43 0.495 0.505 0.515 0.525

    3.18 3.2 3.22 3.27 3.29 0.483 0.502 0.512 0.521

    2.99 3.04 3.08 3.13 3.15 0.465 0.487 0.509 0.52

    2.844 2.89 2.936 2.982 3.005 0.45 0.46975 0.4895 0.50925

    2.61 2.65 2.69 2.73 2.77 0.435 0.455 0.475 0.494

    1.737522 1.98873 2.19807 2.40741 2.595816 0.13499733 0.13067049 0.12288219 0.11509388

    1.791 2.019 2.209 2.437 2.692 0.1272 0.1246 0.1126 0.1026

    1.624 1.847 2.071 2.294 2.518 0.1306 0.128 0.1201 0.1122

    1.69 1.842 2.032 2.26 2.583 0.1245 0.1225 0.1145 0.1045

    1.972 2.124 2.276 2.504 2.713 0.151 0.149 0.141 0.133

    1.4276988 1.611918 1.77939 1.9384884 2.1729492 0.16268909 0.15836225 0.14365101 0.13413196

    3.9272184 3.9648996 4.0151412 4.0863168 4.1616792 0.45345257 0.46210625 0.48633654 0.51056683

    3.5964612 3.6718236 3.7429992 3.8351088 3.9816468 0.36518509 0.37210803 0.39287685 0.41018423.1233528 3.2489568 3.370374 3.516912 3.7136916 0.29595569 0.30114789 0.31672451 0.32710892

    2.6083764 2.763288 2.9140128 3.098232 3.2615172 0.25441805 0.25614878 0.25961025 0.26134099

    1.967 2.223 2.478 2.771 3.045 0.1361 0.1347 0.1295 0.124

    2.051532 2.19807 2.3529816 2.5037064 2.6628048 0.18172718 0.18172718 0.18172718 0.18172718

    2.700486 2.805156 2.9056392 3.014496 3.1107924 0.28384054 0.28384054 0.28384054 0.28384054

    2.16806332 2.221050007 2.28095643 2.3501219 2.43088573 0.13739396 0.13040986 0.1232384 0.11587957

    2.07 2.19 2.4 2.64 3.01 0.133 0.131 0.128 0.125

    1.68 1.88 2.08 2.29 2.55 0.134 0.129 0.122 0.115

    2.04 2.26 2.48 2.7 2.99 0.136 0.134 0.129 0.124

    1.62 1.85 2.07 2.29 2.59 0.133 0.128 0.12 0.112

    2.4199704 2.4618384 2.4869592 2.5455744 2.5874424 0.21461114 0.21461114 0.21461114 0.21461114

    2.024 2.253 2.481 2.71 3.015 0.1438 0.1426 0.1389 0.13521.88 2.14 2.39 2.64 2.81 0.1303 0.1264 0.1223 0.1184

    1.777 1.959 2.248 2.612 2.981 0.1416 0.1412 0.1359 0.1312

    1.864 2.136 2.5 2.773 3.228 0.1363 0.1356 0.1312 0.1254

    1.813 2.01 2.177 2.47 2.906 0.1412 0.1388 0.1365 0.1353

    1.733 1.951 2.169 2.459 2.968 0.1366 0.1359 0.1315 0.1272

    1.375 1.462 1.55 1.725 1.9 0.1627 0.1577 0.1527 0.1477

    3.28 3.35 3.41 3.47 3.53 0.496 0.506 0.531 0.556

    3.03 3.09 3.15 3.21 3.27 0.474 0.499 0.524 0.549

    2.84 2.89 2.95 3 3.11 0.437 0.463 0.489 0.515

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    63/85

    3.19 3.24 3.29 3.35 3.41 0.485 0.505 0.53 0.555

    2.61 2.66 2.71 2.77 2.87 0.433 0.459 0.484 0.51

    2.2182232 2.315248324 2.43518687 2.50862922 2.59365655 0.14198014 0.13053412 0.11844908 0.10572504

    1.57381812 1.78022736 1.9866366 2.19346452 2.606283 0.14936243 0.14728555 0.14278564 0.13880495

    2.009664 2.177136 2.344608 2.595816 2.888892 0.1332666 0.12807439 0.11942072 0.11249778

    1.94937408 2.15159652 2.35423764 2.63810268 2.962161 0.13309352 0.13136279 0.12720902 0.12305526

    1.967796 2.177136 2.30274 2.470212 2.72142 0.11768998 0.11768998 0.11249778 0.10903631

    1.76976036 1.98496188 2.28641148 2.501613 2.82441528 0.15836225 0.15593922 0.15092009 0.14572789

    2.344608 2.470212 2.637684 2.805156 2.972628 0.1332666 0.1332666 0.13153586 0.12634366

    2.344608 2.428344 2.51208 2.637684 2.72142 0.1332666 0.1332666 0.1332666 0.13153586

    1.925928 2.219004 2.51208 2.93076 3.391308 0.10557484 0.1038441 0.10038263 0.0986519

    2.10069597 2.154309165 2.21553049 2.28684963 2.37075627 0.16520379 0.16107307 0.1565945 0.15176808

    1.97 2.69 2.69 2.88 2.88 0 0 0 0

    2.428344 2.6837388 2.9391336 3.181968 3.45411 0.16268909 0.16095836 0.15922762 0.15749689

    2.2273776 2.428344 2.6293104 2.8135296 3.014496 0.15403542 0.15749689 0.16095836 0.16441983

    1.9384884 1.9384884 2.1394548 2.6879256 2.8805184 0.1384588 0.13672807 0.13672807 0.1332666

    1.574 1.779 1.984 2.121 2.257 0.1463 0.1388 0.1162 0.0936

    1.46 1.583 1.83 2.076 2.273 0.1301 0.1293 0.1169 0.0921

    1.688 1.856 2.024 2.192 2.318 0.1341 0.1192 0.1019 0.0827

    2.051532 2.281806 2.51208 2.72142 2.93076 0.16095836 0.15143931 0.14192027 0.12980513

    2.470212 2.637684 2.805156 2.972628 3.1401 0.14884321 0.14365101 0.13672807 0.13153586

    1.924 2.102 2.28 2.456 2.807 0.1336 0.1278 0.122 0.1162

    1.665 1.86 2.057 2.257 2.674 0.1253 0.1217 0.1171 0.1115

    1.997 2.144 2.276 2.393 2.499 0.1263 0.1212 0.1158 0.1101

    1.699 1.908 2.122 2.342 2.569 0.1183 0.1158 0.1121 0.1074

    1.661 1.85 2.04 2.23 2.419 0.1432 0.1347 0.1262 0.1177

    1.887 2.048 2.191 2.319 2.434 0.1307 0.1262 0.1213 0.1161

    1.881 2.073 2.271 2.476 2.911 0.1244 0.118 0.1107 0.1027

    1.629 1.82 2.004 2.357 2.74 0.1429 0.1334 0.1237 0.1138

    1.594 1.808 2.018 2.225 2.433 0.1304 0.1208 0.1109 0.1004

    1.696 1.864 2.027 2.186 2.523 0.137 0.1309 0.1236 0.1151.798 2.048 2.272 2.486 2.76 0.1197 0.112 0.1042 0.0962

    1.864 2.096 2