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Metal –Casting Processes
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Casting
Expendable mold
Sand casting
Shell casting
Investment casting
Lost foam casting
Multiple –use mold
Die casting
Permanent mold casting
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Outline
Why study metal casting ?
Benefits of Metal Casting
History of Metal Casting
Overview of Metal Casting Science
Solidification of Metals
Cast Structures: Pure Metals
Cast Structures: Alloys
Effect of Cooling Rate
Structure Property Relationships
Why Study Metal Casting ?
4
Over 75 million metric tons of cast components are produced annually
worldwide
What is Metal Casting ?
5
Benefits of Metal Casting
Near “Net-Shape” manufacturing
Does not waste material like machining
Can produce intricate shapes
Can produce hollow structures
Can produce internal features
It is very cost effective as compared to
other processes
6
History of Metal Casting
One of the oldest sciences
Started around 4000 BC
Today has modern methods like
investment casting, die casting etc.
It is used to produce heavy items like
engine blocks as well as light items like
jewelry
Relevance to Saudi Arabia - I
Relevance to Saudi Arabia - II
9
Science of Metal Casting
The following sciences are involved in
Metal Casting:
1. Flow of Molten Material into the Mold
Cavity
2. Solidification of Molten Metal
3. Heat transfer During Solidification
4. Mold and Molten Material Study
10
In this lecture we will primarily focus on Solidification
Cast Structures
Cast structure developed during solidification of
metals and alloys depends on:
1. composition of the particular alloy
2. the rate of heat transfer
3. flow of the liquid metal during the casting
process
Solidification of Metals: Pure Metals - I
12
Solidification of Metals: Pure Metals - II
13
Pure metals have defined melting points and
solidification takes place at a constant temperature.
Alloys solidify over a range of temperatures.
Q1. How does SOLIDIFICATION effect the Cast
Structure ?
Q2. How does SOLIDIFICATION effect
Mechanical Properties ?
14
Let us see in the following Slides
Cast Structures : Pure Metals
Solidification Process by Dendrite Growth (movie)
Grain Structure of an Ingot: Aluminum Alloy
16
1. Solidification starts at the edges
2. Grain growth takes place from
the edges towards the center
3. Note Columnar grain structure
5. Center Solidifies at last :
Note Porosity
4. Note Equiaxed grains near
center
Cast Structure of Pure Metals & Alloys
17
(a) Pure Metals
Columnar grain structure:
Weak Mechanical
Properties
Cast Structure of Pure Metals & Alloys
18
(a) Pure Metals (b) Solid Solution Alloys
Columnar grain structure:
Weak Mechanical
Properties
Equiaxed
grains:
Better
Mechanical
Properties
Cast Structure of Pure Metals & Alloys
19
(a) Pure Metals (b) Solid Solution Alloys
(c) Heterogeneous
nucleation of grains :
Alloys
Columnar grain structure:
Weak Mechanical
Properties
Equiaxed
grains:
Better
Mechanical
Properties
Q: Why do smaller grains have better
Mechanical Properties ?
Hall – Petch Relationship
Y = Yi + k/ d(1/2)
Where Y = Improved Yield Strength
Yi = Basic Yield Stress
d = grain size (diameter)
k = dislocation constant
20
So we see smaller grain sizes lead to Higher
Yield Strength
Mid lecture Summary
The aim is to control mechanical
properties throughout a production
process
In the case of castings the aim is to
end up with a small grain size with
better mechanical properties
In castings the grain size is primarily
affected by 2 things:
1. Alloying Elements
2. Solidification Rate 21
Next Let us try to understand how alloying
elements affect solidification ?
Affect of Alloying Element on Solidification
23
Alloy
Pure Metals when cooled , go
directly from Liquid State into a
Solid State
Alloys when cooled , do not go
directly from Liquid to Solid
State,
But pass through a Liquid +
Solid State (Mushy Zone)
Affect of Mold Wall on Solidifying Metal
24
Cold
Mold
Wall
1. First Solidification will take
place immediately next to
the mold wall
6. The center of
the mold will be
the last to
solidify
Hot Molten Liquid Metal in
Mold
2. Second , solidification will
advance from mold wall toward
the inside of the mold.
3. This advance will take place in
the shape of dendrite growth.
4. Dendrites will grow like trees
from the mold wall into the liquid
metal.
5. This growth will take place from
all sides of the mold.
Solidification Rate / Cooling Rate
In Practice Property Structure 0K/ Sec
Sand Molds Poor Large
Dendrites
102 1. Slow
Cooling Rate
Metal Molds Better Small
dendrites*
104 2. High
Cooling Rate
Special
Techniques
Best Amorphous
(no crystals)
106 - 108 3. Ultra High
Cooling Rate
Higher cooling rates also give rise to smaller grains and hence better Yield Strength
( remember Hall Petch Relationship)
STRUCTURE PROPERTY RELATIONSHIPS
26
Structure-property relationships
Columnar dendritic Equiaxed dendritic Equiaxed nondendritic
Recall earlier slide :
Cast Structure of Pure Metals & Alloys
28
(a) Pure Metals (b) Solid Solution Alloys
(c) Heterogeneous
nucleation of grains :
Alloys
Columnar grain structure:
Weak Mechanical
Properties
Equiaxed
grains:
Better
Mechanical
Properties
Cast Structure of Pure Metals & Alloys
29
(a) Pure Metals (b) Solid Solution Alloys
(c) Heterogeneous
nucleation of grains :
Alloys
So the Question is :
How do we make this
into this ?
Creating equiaxed grain structures
By adding a grain nucleating agent in the
melt we can have grains nucleating at
multiple sites
Hence resulting in an overall smaller grain
structure
TiBor TiB is a typical grain nucleating agent for aluminum
alloys
Without Tibor: Larger grain size With Tibor: Smaller grain size
Summary - I
Metal castings are used for “Net-
Shape” manufacturing
Solidification of the melt is responsible
for the resulting microstructure
The microstructure is responsible for
Mechanical Properties of the cast part
We can control the microstructure
32
Summary - II
Faster Cooling Rates give smaller grain
structures
Smaller grain structures give higher
Yield Strength (Hall Petch Relationship)
Smaller grain structure can also be
obtained by adding grain size reducers
in the melt
33
34
Metals processed by casting
Sand casting – 60%
Permanent mold casting – 11%
Die casting – 9%
Investment casting – 7%
Centrifugal casting – 7%
Shell mold casting – 6%
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Types of Parts Made
Engine blocks
Pipes
Jewelry
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Mold Features
The following is a gravity casting system.
2 principles of fluid flow are relevant to gating design:
Bernoulli’s theorem and the law of mass continuity.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Components of Casting
Path: Sprue -> Well -> Runner -> Mold cavity
Riser: Compensate volume loss due to shrinkage
Location of riser?
Core: Make holes
Core print
Draft: Prevent collapse
of sand
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Ferrous casting alloys Cast irons represent the largest amount of all metals
cast and can cast into complex shapes.
Types of irons:
Gray cast iron
Ductile iron (nodular iron)
White cast iron
Malleable iron
Compacted-graphite iron
Cast steels
Cast stainless steels
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Nonferrous casting alloys
Types of alloys:
Aluminum-based alloys
Magnesium-based alloys
Copper-based alloys
Zinc-based alloys
High-temperature alloys
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Expendable-Mold
Permanent-Pattern Casting Processes
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
1. Sand Casting
Types of sand molds
3 types: green-sand, cold-box, and no-bake
molds.
Green molding sand is mixture of sand, clay,
and water and is inexpensive.
In skin-dried method, castings has high
strength, better accuracy and surface finish.
In no-bake mold process, a synthetic liquid
resin is mixed with the sand and hardened in
room temperature.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Sand Casting
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
2.Shell-mold casting Can produce castings with close
dimensional tolerances
Good surface finish
Low cost.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
2.Shell-mold casting
Shell Moulding
Features:
- Metallic pattern is used.
- Moulding material: Fine sand + Thermosetting resin
(phenol-formaldehyde)
(5 kg of phenol-formaldehyde in 100 kg of sand)
- Heating arrangement for the pattern (>180 ̊ C)
Casting Processes
Shell Moulding
Advantages:
- Complex parts can be produced .
- Dimensional accuracy is high.
- Surface finish is good (1.25μm to 3.75μm ).
- Moulds are lightweight and may be stored for extended periods of
time.
- Less foundry space required.
- Metal yields are relatively high.
- Sand: Metal ratio are relatively low.
- Incurs lower fettling costs than conv. Sand casting.
Casting Processes
Shell Moulding
disadvantages:
- Not economical for small scale production.
- Resin costs are comparatively high.
- Suitable only for small castings, maximum weight of the component is
10 kg.
Applications:
- Automotive rocker arms and valves.
- Cam shafts, Bushings, Valve bodies, spacers, Brackets. Bearing caps
etc.
3. Ceramic Mold Manufacture
FIGURE 5.18 Sequence of operations in making a ceramic mold.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Description: Green Sand Casting Capabilities
Horacio Elizondo Author
April 2003 Date
Alting,Leo. “Manufacturing Processes Reference Guide.” 1994 Reference
Shape Material Conserve Material Consolidation Function – Sub function
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Expendable-Mold,
Expendable-Pattern Casting Processes
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
1. Expendable-pattern casting (lost foam) Evaporative Pattern Casting
FIGURE 5.20 Schematic illustration of the expendable-pattern casting process, also known as
lost-foam or evaporative-pattern casting.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
2. Investment Casting (lost-wax process)
Source: Schematic illustration of investment casting (lost wax process). Castings by this
method can be made with very fine detail and from a variety of metals. Source: Steel
Founders' Society of America. Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Casting Processes
Investment Casting Procedure:
1. Wax Injection: Wax replicas (patterns of the desired castings are
produced by injection moulding.
2. Assembly: The patterns are attached to a central wax stick, called
a sprue , to form a casting cluster or assembly.
3. Shell Building Coating with Ethyl silicate + Fine silica sand
slurry.
4. Dewax: Once the ceramic shell is dry, the wax is melted out,
creating a negative impression of the assembly within the shell.
Casting Processes
Investment Casting Procedure:
5. Conventional casting: In the conventional process, the shell is
filled with molten metal by gravity pouring.
6. Knockout: When the metal has cooled and solidified, the ceramic
shell is broken off by vibration or water blasting.
Description: Investment Casting Capabilities
Horacio Elizondo Author
April 2003 Date
Alting,Leo. “Manufacturing Processes Reference Guide.” 1994 Reference
Shape Material Conserve Material Consolidation Function – Sub function
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Investment Casting
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Casting Processes
Advantages of Investment Casting :
1. Excellent surface finish
2. Produces very fine details (Jewellery castings etc.)
3. Very thin sections can be made ( as thin as 0.75 mm).
4. Close dimensional tolerances (0.08 – 0.1 mm).
5. Complex shapes can be made.
6. No or negligible finishing operations
7. Castings are free from usual defects.
Casting Processes
Disadvantages of Investment Casting :
1. Production of wax patterns make the process costly.
2. Bigger castings cannot be made (Generally about 0.5
kg).
3. Process is relatively slow.
4. Incorporating the cores is difficult.
Casting Processes
Applications of Investment Casting :
- Jewellery castings
- Art castings
- Difficult to machine alloys
- Milling cutters and other tools
- Impellers and other pump components
- Jet aircraft nozzles
- Parts of sewing machines, locks and rifles
Permanent-Mold Casting Processes
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Casting Processes
Permanent mould process
Drawback of sand mould process:
A mould need to be prepared for each of the casting produced.
Specialty of permanent mold process:
A METALLIC MOULD is used in the place of sand mould with which large
number of castings are made. The metallic mould is known as die.
Casting Processes
Permanent mould process
Also known as DIE CASTING:
Mould material: Metal or alloy
Types of Die Casting process:
1.Gravity Die Casting
2. Pressure Die Casting:
a. Cold chamber pressure die casting.
b. Hot chamber pressure die casting.
Description: Permanent Mold Casting Capabilities
Horacio Elizondo Author
April 2003 Date
Alting,Leo. “Manufacturing Processes Reference Guide.” 1994 Reference
Shape Material Conserve Material Consolidation Function – Sub function
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Pressure & Hot-Chamber Die Casting
The pressure casting process, utilizing graphite molds for the production of steel
railroad wheels. Source: Griffin Wheel Division of Amsted Industries Incorporated.
Schematic illustration of the hot-chamber die-
casting process.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Description: Hot Chamber Die Casting Capabilities
Horacio Elizondo Author
April 2003 Date
Alting,Leo. “Manufacturing Processes Reference Guide.” 1994 Reference
Shape Material Conserve Material Consolidation Function – Sub function
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Cold-Chamber Die Casting
FIGURE 5.25 Schematic illustration of the cold-chamber die-casting process. These machines are large
compared to the size of the casting, because high forces are required to keep the two halves of the die closed
under pressure. Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Die Casting
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Casting Processes
Advantages of die casting:
1. Closer dimensional accuracy.
2. Good surface finish on castings.
3. Useful for mass production (One set of die can produce about 10,000 castings).
4. Less floor space is required.
5. Cycle of operation requires less time.
6. Porosity can be avoided.
7. Faster rate of production.
8. Semi skilled workers can do the job.
9. Less defects compared to sand castings.
10. Casting surface free from sand.
Casting Processes
Limitations of die casting:
1. Cost of the die is high.
2. Not suitable for heavy castings.
3. Suitable only for non-ferrous castings.
4. Not suitable for small scale production.
Casting Processes
Applications of die casting:
1. Carburetor bodies.
2. Hydraulic brake cylinders.
3. Connecting rods and automotive pistons.
4. Oil pump bodies.
5. Aircraft components.
Type Composition (%) Use
C Cr Mo W V Co Ni
H11 0.35 5.0 1.5 - 0.5 - - Zn casting
dies
H12 0.35 5.0 1.5 1.5 0.4 - - Al casting
dies H13 0.35 5.0 1.5 - 1.0 - -
H19 0.40 4.25 - 4.25 2.0 4.25 - Brass &
Bronze
casting dies H20 0.35 2.0 - 9.0 - - -
H21 0.35 3.5 - 9.0 - - -
Die Materials:
Casting Processes
Continuous Casting :
- Used to cast long ingots, square billets etc.
Types of continuous casting
- Vertical continuous casting
- Horizontal continues casting
- Continuous casting in traveling mould
Continuous-Casting
(a) The continuous-casting process for steel. Note
that the platform is about 20 m (65 ft) above
ground level. Source: American Foundrymen's
Society.
(b) (b) Continuous strip casting of nonferrous metal
strip. Source: Courtesy of Hazelett Strip-Casting
Corp.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Continuous Casting in traveling mold :
Advantages of Continuous Casting :
- 100 % casting yield.
- Cheaper to produce ingots (compared to rolling).
- Better surface finish.
- Grain structure can be regulated
- Process is automatic – requires less labor
Casting Processes
Centrifugal casting:
- Developed by A. G. Eckhardt in England during 1809.
- Utilizes the centrifugal forces caused by rotation to distribute the
molten metal in to the mould cavities.
- First used in the 1800’s
- Three types of centrifugal casting
- True centrifugal casting
- Semi centrifugal casting
- Centrifuging
Applications of Continuous Casting :
- Long Billets of any cross section can be obtained
(Round, square, hexagonal, gear toothed.
- Solid and hollow ingots can be made.
- Bushings and pump gears.
- Production of copper bar (wire)
Centrifugal Casting
The centrifugal casting process. Pipes, cylinder liners, and similarly shaped
hollow parts can be cast by this process.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Centrifugal casting:
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Semicentrifugal Casting
(a) Schematic illustration of the semicentrifugal casting process. Wheels with spokes can be cast by this
process.
(b) Schematic illustration of casting by centrifuging. The molds are placed at the periphery of the machine, and
the molten metal is forced into the molds by centrifugal forces.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Casting Processes
True Centrifugal casting Procedure:
1. Applying ceramic slurry to the mould wall, drying and baking.
2. Rotation of the mould at a predetermined speed (300 to 3000
rpm).
3. Pouring a molten metal directly into the mould (no gating system
is employed).
4. The mould is stopped after the casting has solidified.
5. Extraction of the casting from the mould.
Casting Processes
Centrifugal casting Advantages
1. Formation of hollow cavities in cylinders without cores.
2. Non-metallic and slag inclusions and gas bubbles are forced to the
inner surface of the casting by the centrifugal force.
3. No gating system, hence casting yield is high (100% in many times).
4. Fettling costs are reduced. Cost of production is less.
5. Casting free of gas and shrinkage cavities and porosity.
6. Fine outside details (castings) can be successfully cast.
7. Easy to inspect the castings (defects occur on the surface).
Casting Processes
Centrifugal casting disadvantages
1. More segregation of alloy component during pouring
under the force of rotation.
2. Suitable only for axial symmetrical components.
3. Skilled workers are required for operation.
4. Inaccurate internal diameter.
Casting Processes
Applications of centrifugal casting
1. Cast iron pipes.
2. Liners for I.C. Engines.
3. Bushings.
4. Wheels.
5. Pulleys.
6. Bi-metal steel-bronze bearings.
7. Other parts possessing axial symmetry.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Properties of Die-Casting Alloys
TABLE 5.6 Properties and typical applications of common die-casting alloys.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Rotor Microstructure
Microstructure of a rotor that has been investment cast (top) and
conventionally cast (bottom). Source: Advanced Materials and Processes.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Fluid Flow and Heat Transfer
Bernoulli’s theorem
Based on
- principle of conservation of energy
- frictional losses in a fluid system
Conservation of energy requires that,
Constant 2
2
g
v
g
ph
h = elevation
p = pressure at elevation
v = velocity of the liquid
ρ = density of the fluid
fg
v
g
ph
g
v
g
ph
2
2
2
222
2
111
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Fluid Flow and Heat Transfer
- Fluid flow
Mass continuity
States that for an incompressible liquid the rate
of flow is constant.
Subscripts 1 and 2 pertain to two different
locations in the system.
2211 vAvAQ Q = volumetric rate of flow
A = cross-sectional area of the liquid stream
v = velocity of the liquid
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Fluid Flow and Heat Transfer
- Fluid flow
Sprue profile
Relationship between height and cross-sectional area
at any point in the sprue is given by
Velocity of the molten metal leaving the gate is
When liquid level reached height x, gate velocity is
1
2
2
1
h
h
A
A
ghcv 2
xhgcv 2
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Fluid Flow and Heat Transfer
- Fluid flow
Flow characteristics Reynold’s Number
Ratio of momentum (inertia) to viscosity
Fluid flow in gating systems is turbulence, as opposed
to laminar flow. (Which flow is preferred?)
Reynolds number, Re, is used to characterize this
aspect of fluid flow.
Higher the Re, greater the tendency for turbulent flow.
vDRe
v = velocity of the liquid
D = diameter of the channel
ρ = density
n = viscosity of the liquid.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Critical Reynold’s Number
• Re ~ 2,000
– Laminar to turbulent transition
– Eddies begin to form
• Re > 20,000
– very turbulent
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
How fast would a stream of honey 1 in.
in diameter need to be turbulent?
Density (ρ) = 1.43 g/cm3 (at 20oC)
Viscosity () = 189 poise (at 20.6oC) {1poise=1kg*m^-1*s^-1}
vDRe
9.18
1430254.0Re
vturbulent flow transition
Re ~ 2,000
Re = 2,000 = 1,430 * V * 0.0254/18.9
V = 1,040 m/s (This ignores shear thinning.)
Example 1
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
(Pa·s), (equivalent second-pascalthe
to N·s/m2, or kg/(m·s)).
The desired volume flow rate of the molten metal into a mold is 0.01 m3/min.
The top of the sprue has a diameter of 20 mm and its length is 200 mm.
What diameter should be specified at the bottom of the sprue in order to
prevent aspiration?
What is the resultant velocity and Reynolds number at the bottom of the sprue
if the metal being cast is aluminium and has a viscosity of 0.004 N-s/m2
Solution
Since d1 = 0.02 m
The metal volume flow rate is Q= 0.01 m3/min = 1.667×10-4 m3/s 1Top, 2 bottom
Therefore
Example 5.2 Design and analysis of a sprue for casting
m/s 531.01014.3
10667.14
4
1
1
A
Qv
2422
1 m 1014.302.044
dA
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
m/s 45.12 v
Assuming no frictional losses, and recognizing that the pressure at the top and
bottom of the sprue is atmospheric
Thus,
fg
v
g
ph
g
v
g
ph
2
2
2
222
2
111
0
81.92
81.92
531.02.0
2
2
2
v
g
p
g
p atmatm
24
2 m 1015.1 A22vAQ 45.1101.667 2
4 A
2
24
dA
24
41015.1 d
mmd 12
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
745,11
004.0
2700012.045.1Re
vD
In calculating the Reynolds number
3/2700 mkg
As stated above, this magnitude is typical for casting molds, representing
a mixture of laminar and turbulent flow
An Re value of up to 2000 represents laminar flow
An Re Between 2000 and 20,000 it is a mixture of laminar and turbulent
flow and is generally regarded as harmless in gating systems for casting
Re values in excess of 20,000 represent severe turbulence.
v = velocity of the liquid
D = diameter of the
channel
ρ = density
n = viscosity of the liquid.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Physical Properties of Materials
TABLE 3.3 Physical
Properties of Various
Materials at Room
Temperature.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Casting Alloys
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
P.P.P File Prepared by the author and publisher and other sources
Shrinkage
Shrinkage in casting causes dimensional changes.
Cracking is a result of:
1. Contraction of the molten metal
2. Contraction of the metal during phase change
3. Contraction of the solidified metal
For L->S, always think of
Solidification Shrinkage!!
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Heat transfer
Heat flow depends on casting material and the
mold and process parameters.
Temperature distribution in the mold-liquid
metal interface is shown below.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Solidification time
Solidification time is a function of the volume of
a casting and surface area (Chvorinov’s rule).
Effects of mold geometry and elapsed time on
skin thickness and its shape are show.
n
C
Area Surface
Volumetion timeSolidifica C = constant
n = 2
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Temperature vs. Time
Chvorinov’s rule for solidification time for a conducting mold
Chvorinov’s rule for solidification time for an insulating mold
t = cooling time
K = a constant
V = volume
A = area
2
A
VKt
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Solidification time (t)
A
VKt
22
,int_
1
4
casting
casting
moldmoldmoldinitilmoldpomelting
CastingCasting
A
V
ckTTt
casting
casting
initilmoldpomelting
CastingCasting
A
V
TTht
,int_
Solidification time (t) for an insulating mold (α mold << α casting; k mold << k
casting)
Solidification time (t) for a conducting mold (Biot # =hl/k < 0.17)
ΔH = latent heat for the process = Hf + ΣCiΔT
Hf = latent heat of solidification (fusion)
V = volume
A = area
h = heat transfer coefficient
C = specific heat
ρ = density Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
=Thermal Diffusivity
K=Thermal Conductivity
T pf C
Thermal Diffusivity
Conductivity K
Thermal Diffusivity ( )
Cooling time (t) for a solid object for a small Biot number (Biot # =hl/k < 0.17)
finalcastingpomelting
initilcastingmoldcastingcasting
casting
casting
TT
TT
h
C
A
Vt
,int_
,ln
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Solidification time – Ex. 1
• You are sand casting a magnesium part with
dimensions of 10 cm by 10 cm by 2.5 cm.
The environment temperature is 25o
C.
• Determine the time for the part to solidify if
the metal is poured at its melting point.
• Determine the time for the part to solidify if
the metal is poured at 50oC above its melting
point, so as to alleviate the potential problem
of short shots.
Solidification time
Hf = latent heat of solidification (fusion)
C = specific heat
ρ = density
• N.B. solidification is a phase change
that occurs at the melting point
• Insulating mold:
– kmold = 0.6 << kcasting = 156 W/m-K
– mold = 3.4 x 10-7 << casting = 6.6 x 10-5 m2/s
• Solidification time:
22
,int_
1
4
casting
casting
moldmoldmoldinitilmoldpomelting
CastingfCasting
A
V
ckTTt
• = 384 kJ/kg
• = 1700 kg/m3
• Tm = 650oC
• To = 25oC
• km = 0.6 x 10-3
kW/m-K
• = 1500 kg/m3
• cm = 1.16 kJ/kg-K
f
Hf = latent heat of solidification (fusion)
ρ = density
• V = 0.1 x 0.1 X 0.025 = 2.5 x 10-4
m3
• A = 2 x (0.1 x 0.1) + 4 X (0.1 x 0.025) =
A = 0.03 m2
• (V/A) = 8.33 x 10-3
m
• (V/A)2 = 6.94 x 10
-5 m
2
kJ/kg843x038.1384
T
pf C
ΔH = latent heat for the process
st
t
A
V
ckTTt
So
casting
casting
moldmoldmoldinitilmoldpomelting
CastingfCasting
57
10×94.61.16×1500×10×6.0
1
25650
384×1700
4
1
4
5
3
2
22
,int_
• Now, we have to take into account
cooling the liquid from (650 + 50)oC to
650 oC
• So, the latent heat of solidification ( )
will be increased by cpT
22
,int_
1
4
casting
casting
moldmoldmoldinitilmoldpomelting
CastingfCasting
A
V
ckTTt
f
453kJ/kg50x 38.1384
T
pf C
• For liquid magnesium
– cp = 1.38 kJ/kg-K
• So
CT 50650700
st
t
A
V
ckTTt
So
casting
casting
moldmoldmoldinitilmoldpomelting
CastingfCasting
79
10×94.61.16×1500×10×6.0
1
25650
453×1700
4
1
4
5
3
2
22
,int_
(a bit slower)
• In both cases, we need to be careful
that the part does not freeze before
filling the mold (short shot).
• To be conservative, complete the pour
in 79 – 57 = 22 s
– superheating-allowed time
Conducting mold
• We can perform a similar analysis
when the mold conducts as well as the
metal being cast and the interface
resistance dominates.
• Die casting is an example.
casting
casting
initilmoldpomelting
CastingCasting
A
V
TTht
,int_
Solidification time (t) for a conducting mold (Biot # =hl/k < 0.17)
ΔH = latent heat for the process = Hf + ΣCiΔT
Hf = latent heat of solidification (fusion)
V = volume
A = area
h = heat transfer coefficient
C = specific heat
ρ = density
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
=Thermal Diffusivity
K=Thermal Conductivity
T pf C
.h=The overall heat transfer coefficient
Solidification time – Ex. 2
casting
casting
initilmoldpomelting
CastingCasting
A
V
TTht
,int_
Material properties:
Data for solid materials at room temperature
Thermal
conductivity
(k) (W/m-oC)
Density (ρ)
(kg/m3)
Specific heat (C)
(kJ/kg-oC)
Material
0.60 1500 1.16 Sand
202 2700 0.90 Aluminum
92 8910 0.44 Nickel
156 1700 1.07 Magnesium
385 8970 0.39 Copper
42.7 7125 0.441 Gray cast iron
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Viscosity
() (mPa-s)
Specific heat (C)
(kJ/kg-oC)
Latent heat of
solidification
(fusion)
(Hf) (kJ/kg)
Melting point
(oC) Material
1.3 1.05 396 660 Aluminum
--- 0.73 297 1453 Nickel
1.04 1.38 384 650 Magnesium
2.1 0.52 220 1083 Copper
5.25 0.34 211 1251 Gray cast
iron
Data for liquid materials
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
moldtotaltotal
gate
moldf hhh
gA
At
2
2
total
bapouring
sprueofbottom
sprueoftop
sprueoftop
spreueofbottom
h
h
v
v
A
A sin,
..
..
..
..
Filling time for a bottom-gated mold
For no aspiration
Mold filling time estimate
gategatevA
volumeMoldt
.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Solidification time – Ex. 3
Solidification time (t) for a conducting mold (Biot # =hl/k < 0.17)
k=202w/m-oc ,.h=5000w/m2-c
Solidification time – Ex. 4
Melting Practice and Furnaces
Melting has a direct bearing on the quality of castings.
Fluxes are inorganic compounds that refine the molten
metal by removing dissolved gases and various
impurities.
The metal charge may be composed of commercially
pure primary metals, which can include remelted or
recycled scrap.
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
Three pieces being cast have the same volume but different shapes. One is
a sphere, one a cube, and the other a cylinder with a height equal to its
diameter. Which piece will solidify the fastest and which one the slowest?
Use n = 2.
Solution
The volume is unity
Respective surface areas are
Respective solidification times t are
Example 5.3
Solidification times for various solid shapes
54.522 :Cylinder
66 : Cube
84.44
34 :Sphere
2
2
3/2
rhrA
aA
A
2area Surface
1tion timeSolidifica
CtCCt cylindersphere 033.0 028.0 043.0 c ubet
Source : Manufacturing Processes for Engineering Materials,5rd Edition., S. Kalpakjian and S. Schmid, 2008 , Additional references in the last slide
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