27
Enter Basic Engine Data Bore 56 mm Stroke 50.6 mm Con Rod Length 109 mm Deck Height 0.2 mm Gasket Thickness 0.2 mm Dia of hole in Gasket 56 mm PH from Duration Exhaust Port Open Duration 192 degrees 25.00 mm Port Opens mm ATDC mm Exhaust opens ATDC 84 degrees Swept Volume 124.63 cc Calculated Exhaust Port Hei 25.00 mm Top of barrel to Exhaust po 25.80 mm <- This should be what you measure Trapped Volume 63.05 cc Engine 10750 RPM = Enter Value = Result Instructions Enter the values you want in the Green boxes - values in the yellow boxes are calculated for you Additional information is available on boxes with red triangles by keeping the mouse over that box. v1 - MJ v1_1 Vincent v2_0 MJ (not finished yet) v2_1 MJ corrected mistake in Squish velocity calc (only hemi sheet finished) v2_2 MJ conical heads now working

Cylinder Heads

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Page 1: Cylinder Heads

Enter Basic Engine Data

Bore 56 mmStroke 50.6 mmCon Rod Length 109 mm

Deck Height 0.2 mmGasket Thickness 0.2 mmDia of hole in Gasket 56 mm

PH from DurationExhaust Port Open Duration 192 degrees 25.00 mmPort Opens mm ATDC mmExhaust opens ATDC 84 degrees

Swept Volume 124.63 ccCalculated Exhaust Port Height 25.00 mmTop of barrel to Exhaust port 25.80 mm <- This should be what you measure

Trapped Volume 63.05 cc

Engine 10750 RPM

= Enter Value= Result

InstructionsEnter the values you want in the Green boxes - values in the yellow boxes are calculated for youAdditional information is available on boxes with red triangles by keeping the mouse over that box.

v1 - MJv1_1 Vincentv2_0 MJ (not finished yet)v2_1 MJ corrected mistake in Squish velocity calc (only hemi sheet finished)v2_2 MJ conical heads now working

C11
EITHER: Enter Exhaust Port Open Duration OR: Enter Exhaust Port Opens mm ATDC
E11
Exhaust Port height Calculated from Duration
C12
EITHER: Enter Exhaust Port Open Duration OR: Enter Exhaust Port Opens mm ATDC
B17
IF: Duration is Supplied, Uses Calculated Port Height ELSE: Calculates Port Height from PO ATDC
B18
Includes the deck height
B20
After Exhaust Port Closed
Page 2: Cylinder Heads

Hemi Head - Flat or Dome top pistons

Piston Flat top Volume 8.90 ccDepth 11.51 mm

D1 56.50 Dia mmCylinder Step 1 0.30 mm

Volume (deck) 0.49 ccVolume (gasket) 0.49 ccVolume (head) 0.75 ccVolume below squish 1.74 cc

Squish D2 44.00 Dia mmSquish Angle 10.00 DegreesHeight 1.10 mmVolume (layer) 2.20 ccVolume (squish) 0.52 ccSquish Area ratio 38.27%Peak Squish Velocity 18.03 m/s

Head Head radius 29.00 Radius mmHeight 10.11 mmVolume 8.22 cc

Piston Piston Dome 150.00 Radius mmHeight 2.64 mmVolume of Dome 3.26 ccHeight of dome in bowl 1.62 mmVol of dome in bowl 1.24 ccVol of Cyl below bowl 1.54 ccVol of Dome under Squish 0.48 ccMax Velocity 29.24 m/sMean Velocity 18.03 m/sMean Velocity 18.13 m/s

Clearance Angle 8.43 DegreesClearance Angle 10.76 Degrees

Trapped CR 8.08 to OneGeometric CR 15.00 to One

= Enter Value= Result

Handy HelperCalcs dome radius fromD2 40.00 mmDepth of Head 11.60 mmDome Radius 23.04 mm

140 145 150 155 160 165 170 175 180-2

3

8

13

18

23

28

Squish & Piston Velocity

Squish Velocity

Piston velocity

Angle ABDC (degrees)

Ve

loc

ity

m/s

D1

D2

Step 1

Step 2

Bore

Top of Piston

Squish Angle a

a

Head radiusPiston dome radius

B8
Combustion Chamber Volume
B13
Recess if any in to the head
B14
Volume due to the deck height I.e. Pi x (Bore ^ 2 )/4 (edge of piston to top of barrel exluding any piston dome)
B15
Volume due to the gasket I.e. Pi x [(dia of hole in gasket)^2]/4
B16
Refers to the cylinders formed by a) the bore and step 1 (step 1 is any recess in the head) b) the gasket c) the deck height (edge of piston to top of barrel)
B17
Refers to the cylinders formed by a) the bore and step 1 (step 1 is any recess in the head) b) the gasket c) the deck height (edge of piston to top of barrel)
B25
Squish Area: Flat projection area of the squish band as a percentage of the flat area of the bore (piston) usually 50% for slow reving engines and 30% for performance engines (source of that is ?)
B32
a blank field defaults to Flat top piston else enter a radius for the dome
B41
Calculated as the average of the incremental speed
B42
Calculated as per Blair eq 1.7.2 assume this is the standard definition?
B44
Angle between tangent of piston at point level with start of bowl and the normal to the barrel
B45
Angle between Tangent to piston dome at edge of piston and normal to the barrel
C47
Effective (after Port Closed) CR using Domed Piston Combustion Chamber Volume
C48
Geometric CR using Domed Piston Combustion Chamber Volume
Page 3: Cylinder Heads

Conical - Flat or Dome top pistons

Piston Flat top Volume 8.88 ccDepth 9.28 mm

D1 56.00 Dia mmCylinder Step 1 0.00 mm

Volume (deck) 0.49 ccVolume (gasket) 0.49 ccVolume (head) 0.00 ccVolume below squish 0.99 cc

Squish D2 40.00 Dia mmSquish Angle 2.00 DegreesHeight 0.28 mmVolume (layer) 0.51 ccVolume (squish) 0.16 ccSquish Area ratio 48.98%Peak Squish Velocity 29.99 m/s

Head D3 24.00 Dia mmStep 2 9.00 mmVolume 7.39 cc

Piston Piston Dome Radius mmHeight 0.00 mmVolume of Dome 0.00 ccHeight of dome in bowl 0.00 mmVol of dome in bowl 0.00 ccVol of Cyl below bowl 0.00 ccVol of Dome under Squish 0.00 ccMax Velocity 29.24 m/sMean Velocity 18.03 m/sMean Velocity 18.13 m/s

Clearance Angle 0.00 DegreesClearance Angle 0.00 Degrees

Trapped CR 8.10 to OneGeometric CR 15.03 to One

140 145 150 155 160 165 170 175 180

-6

-1

4

9

14

19

24

29

Squish & Piston velocities

Squish velocity

Piston velocity

Angle ABDC (degrees)

Ve

loc

ity

(m

/s)

D1

D2

D3

Step 1

Step 2

Bore

Top of Piston

Squish Angle a

a

B8
Combustion Chamber Volume
B13
Deck Height Plus Gasket Thickness
B14
Volume due to the deck height I.e. Pi x (Bore ^ 2 )/4 (edge of piston to top of barrel exluding any piston dome)
B15
Volume due to the gasket I.e. Pi x [(dia of hole in gasket)^2]/4
B16
Refers to the cylinders formed by a) the bore and step 1 (step 1 is any recess in the head) b) the gasket c) the deck height (edge of piston to top of barrel)
B17
Refers to the cylinders formed by a) the bore and step 1 (step 1 is any recess in the head) b) the gasket c) the deck height (edge of piston to top of barrel)
B25
Squish Area: Flat projection area of the squish band as a percentage of the flat area of the bore (piston) usually 50% for slow reving engines and 30% for performance engines (source of that is ?)
B32
a blank field defaults to Flat top piston else enter a radius for the dome
B41
Calculated as the average of the incremental speed
B42
Calculated as per Blair eq 1.7.2 assume this is the standard definition?
B44
Angle between tangent of piston at point level with start of bowl and the normal to the barrel
B45
Angle between Tangent to piston dome at edge of piston and normal to the barrel
C47
Effective (after Port Closed) CR using Domed Piston Combustion Chamber Volume
C48
Geometric CR using Domed Piston Combustion Chamber Volume
Page 4: Cylinder Heads

Working for Squish velocity Calcs

Piston Piston AccelerationPiston velocity Squish VelocityCrank Angle° ABDC mm m/S/S m/s m/S

0 0.0000 0 01 0.0047 0.3062228335 0.003252412782 0.0190 0.9185253519 0.009758379283 0.0427 1.530398516 0.016269194294 0.0759 2.1415563969 0.022788855545 0.1186 2.7517135257 0.029321370566 0.1707 3.3605850778 0.035870761277 0.2322 3.9678870564 0.042441068528 0.3031 4.5733364761 0.049036356779 0.3834 5.1766515455 0.05566071871

10 0.4729 5.7775518496 0.0623182811 0.5718 6.3757585323 0.0690132040812 0.6799 6.9709944772 0.0757496969613 0.7971 7.5629844885 0.0825320122314 0.9235 8.1514554706 0.0893644560415 1.0589 8.7361366072 0.0962513922416 1.2034 9.3167595394 0.1031972476317 1.3568 9.8930585424 0.1102065172918 1.5190 10.464770701 0.1172837701219 1.6900 11.031636086 0.1244336544220 1.8698 11.593397924 0.1316609037421 2.0582 12.14980277 0.138970342822 2.2551 12.700600682 0.1463668936223 2.4604 13.245545383 0.1538555819124 2.6741 13.784394428 0.1614415435425 2.8961 14.316909375 0.1691300313726 3.1262 14.842855939 0.1769264222127 3.3644 15.362004157 0.1848362240728 3.6105 15.874128543 0.1928650837229 3.8644 16.379008248 0.2010187944730 4.1261 16.876427204 0.209303304331 4.3953 17.366174281 0.2177247243332 4.6721 17.848043427 0.2262893375633 4.9561 18.321833819 0.23500360805

140 145 150 155 160 165 170 175 180

-6

-1

4

9

14

19

24

29

Squish & Piston velocities

Squish velocity

Piston velocity

Angle ABDC (degrees)

Ve

loc

ity

(m

/s)

B77
Method for calculating squish velocity taken from Design and Simulation of Two Strokes by Gordon Blair, eq 4.5.7 page 328
Page 5: Cylinder Heads

34 5.2474 18.787349992 0.243874190535 5.5457 19.244401986 0.2529079401736 5.8511 19.692805469 0.2621119233337 6.1632 20.132381871 0.2714934280838 6.4820 20.562958504 0.2810599757839 6.8073 20.984368687 0.290819332940 7.1391 21.396451854 0.3007795234941 7.4770 21.799053669 0.3109488422442 7.8211 22.19202613 0.3213358681443 8.1711 22.575227668 0.3319494788544 8.5269 22.948523244 0.3427988657145 8.8883 23.311784434 0.3538935495946 9.2552 23.664889516 0.3652433974447 9.6274 24.007723545 0.376858639848 10.0048 24.340178425 0.3887498890649 10.3872 24.662152971 0.4009281588550 10.7743 24.97355297 0.4134048842651 11.1662 25.274291232 0.4261919432852 11.5625 25.564287631 0.4393016792853 11.9632 25.843469144 0.4527469247654 12.3680 26.111769883 0.4665410263855 12.7769 26.369131112 0.4806978713156 13.1895 26.615501266 0.495231915157 13.6058 26.850835956 0.5101582110558 14.0256 27.075097971 0.5254924412159 14.4486 27.288257262 0.5412509491960 14.8749 27.490290935 0.5574507747461 15.3040 27.681183217 0.5741096903862 15.7360 27.860925428 0.5912462401263 16.1705 28.029515939 0.6088797803564 16.6075 28.18696012 0.6270305232365 17.0468 28.333270285 0.6457195824966 17.4882 28.468465624 0.6649690220667 17.9315 28.592572127 0.6848019074868 18.3765 28.705622505 0.7052423604569 18.8232 28.807656096 0.7263156166270 19.2712 28.89871877 0.7480480868771 19.7205 28.978862816 0.7704674223372 20.1708 29.048146835 0.793602583473 20.6221 29.10663561 0.8174839129574 21.0741 29.154399983 0.842143214175 21.5267 29.191516714 0.8676138328376 21.9797 29.218068338 0.8939307457277 22.4329 29.234143015 0.9211306532678 22.8863 29.23983437 0.9492520790479 23.3395 29.235241332 0.9783354752280 23.7926 29.220467962 1.0084233347581 24.2452 29.195623279 1.0395603108382 24.6973 29.160821076 1.0717933440483 25.1487 29.116179738 1.1051717977484 25.5993 29.061822048 1.1397476022785 26.0489 28.997874994 1.175575408686 26.4973 28.924469569 1.2127127521487 26.9445 28.841740566 1.25122022729

Page 6: Cylinder Heads

88 27.3902 28.749826377 1.291161673689 27.8344 28.648868781 1.3326043743990 28.2768 28.539012734 1.3756192685791 28.7175 28.420406156 1.4202811767892 29.1561 28.293199718 1.4666690426793 29.5927 28.157546625 1.5148661905694 30.0270 28.013602403 1.5649606005895 30.4590 27.861524678 1.6170452024796 30.8884 27.701472967 1.6712181895197 31.3153 27.533608457 1.7275833537998 31.7395 27.358093794 1.7862504445599 32.1608 27.175092873 1.847335551

100 32.5792 26.984770621 1.91096151151101 32.9945 26.787292797 1.9772583508102 33.4066 26.582825779 2.04636374727103 33.8155 26.37153637 2.11842353232104 34.2209 26.153591591 2.19359222398105 34.6229 25.929158494 2.27203359695106 35.0214 25.698403965 2.35392129166107 35.4161 25.461494541 2.43943946459108 35.8071 25.218596228 2.52878348269109 36.1942 24.969874326 2.6221606644110 36.5774 24.715493254 2.7197910701111 36.9566 24.455616389 2.82190834489112 37.3316 24.190405904 2.92876061635113 37.7025 23.920022614 3.04061145027114 38.0691 23.644625829 3.15774086705115 38.4313 23.364373213 3.28044642142116 38.7891 23.079420647 3.40904434781117 39.1425 22.789922104 3.54387077371118 39.4912 22.496029526 3.68528300248119 39.8354 22.197892706 3.83366086687120 40.1749 21.895659185 3.98940815354121 40.5096 21.589474149 4.15295409789122 40.8395 21.279480332 4.3247549472123 41.1645 20.96581793 4.50529558851124 41.4847 20.648624523 4.6950912354125 41.7998 20.328034996 4.89468916538126 42.1100 20.004181476 5.10467049619127 42.4150 19.677193272 5.32565198527128 42.7150 19.347196815 5.55828783175129 43.0098 19.014315618 5.80327145383130 43.2994 18.678670233 6.06133720708131 43.5837 18.340378212 6.33326199969132 43.8628 17.999554087 6.61986674929133 44.1365 17.656309338 6.92201761199134 44.4049 17.310752386 7.2406268973135 44.6679 16.962988575 7.57665356191136 44.9255 16.613120173 7.93110315004137 45.1776 16.261246366 8.30502701757138 45.4242 15.907463268 8.6995206402139 45.6653 15.551863933 9.11572076085140 45.9009 15.194538366 9.55480107765141 46.1309 14.835573546 10.0179661078

Page 7: Cylinder Heads

142 46.3553 14.475053452 10.5064427844143 46.5742 14.113059091 11.0214692481144 46.7873 13.74966853 11.5642801806145 46.9948 13.384956936 12.1360878928146 47.1967 13.018996616 12.7380582146147 47.3928 12.651857063 13.3712800431148 47.5833 12.283605003 14.0367271741149 47.7680 11.914304448 14.7352107768150 47.9470 11.544016749 15.4673205583151 48.1202 11.172800655 16.2333523073152 48.2877 10.800712375 17.0332191025153 48.4493 10.427805636 17.8663430309154 48.6052 10.054131756 18.731523787155 48.7553 9.6797397062 19.6267800586156 48.8995 9.3046761817 20.5491591846157 49.0380 8.9289856762 21.494510281158 49.1706 8.5527105542 22.4572160046159 49.2973 8.1758911269 23.4298785516160 49.4182 7.7985657296 24.4029566701161 49.5333 7.420770801 25.3643528332162 49.6425 7.042540963 26.2989538499163 49.7458 6.6639091027 27.1881349066164 49.8432 6.2849064549 28.009247302165 49.9348 5.9055626863 28.7351251457166 50.0205 5.5259059801 29.3336671423167 50.1002 5.145963122 29.7675770218168 50.1741 4.7657595868 29.9943797893169 50.2421 4.385319626 29.9668680769170 50.3042 4.0046663555 29.6341668945171 50.3604 3.6238218448 28.9436236801172 50.4107 3.2428072061 27.8437144785173 50.4550 2.8616426838 26.2880811205174 50.4935 2.4803477452 24.2406529652175 50.5260 2.0989411708 21.6815470242176 50.5527 1.7174411453 18.613100792177 50.5734 1.3358653486 15.0650430737178 50.5882 0.9542310477 11.0975765284179 50.5970 0.5725551878 6.80118709973180 50.6000 0.1908544846 2.29242422374

Page 8: Cylinder Heads

140 145 150 155 160 165 170 175 180

-6

-1

4

9

14

19

24

29

Squish & Piston velocities

Squish velocity

Piston velocity

Angle ABDC (degrees)

Ve

loc

ity

(m

/s)

D1

D2

D3

Step 1

Step 2

Bore

Top of Piston

Squish Angle a

a

Page 9: Cylinder Heads

Vol Squish Vol CylAsq Y Z

61684.08699 133512.6282 25.3 109 50.661678.35957 133500.9347 6443.654 25.29615 108.9991 50.5952561661.17999 133465.8598 6442.461 25.28459 108.9964 50.5810161632.55628 133407.4197 6440.076 25.26533 108.992 50.5572861592.50182 133325.6418 6436.499 25.23837 108.9857 50.5240861541.03533 133220.5644 6431.732 25.20373 108.9777 50.4814261478.18084 133092.2365 6425.778 25.1614 108.9679 50.4293261403.96772 132940.718 6418.639 25.11142 108.9564 50.367861318.43062 132766.0798 6410.319 25.05378 108.9431 50.296961221.60945 132568.4032 6400.821 24.98852 108.9281 50.2166461113.54938 132347.7806 6390.15 24.91564 108.9114 50.12706

60994.3008 132104.3147 6378.311 24.83517 108.893 50.0282160863.91925 131838.1191 6365.309 24.74713 108.873 49.9201460722.46546 131549.3176 6351.151 24.65156 108.8513 49.8028860570.00524 131238.0446 6335.843 24.54848 108.828 49.676560406.60948 130904.445 6319.392 24.43792 108.8031 49.5410660232.35407 130548.6735 6301.806 24.31992 108.7767 49.3966160047.31988 130170.8954 6283.093 24.19451 108.7487 49.2432359851.59272 129771.2858 6263.262 24.06173 108.7193 49.0809959645.26323 129350.0297 6242.322 23.92162 108.6883 48.9099559428.42686 128907.3221 6220.282 23.77422 108.656 48.7302159201.18381 128443.3676 6197.153 23.61958 108.6223 48.5418458963.63895 127958.3801 6172.945 23.45775 108.5872 48.3449358715.90175 127452.5833 6147.67 23.28877 108.5508 48.1395858458.08622 126926.21 6121.339 23.1127 108.5132 47.9258658190.31083 126379.5019 6093.964 22.92959 108.4743 47.703957912.69843 125812.7099 6065.559 22.73949 108.4343 47.4737857625.37618 125226.0936 6036.135 22.54247 108.3931 47.235657328.47544 124619.9213 6005.707 22.33857 108.3509 46.9894957022.13172 123994.4695 5974.288 22.12788 108.3077 46.7355656706.48456 123350.0232 5941.892 21.91044 108.2635 46.4739156381.67744 122686.8754 5908.535 21.68633 108.2183 46.2046656047.85771 122005.3268 5874.232 21.45562 108.1723 45.9279555705.17648 121305.6859 5838.998 21.21837 108.1255 45.64389

140 145 150 155 160 165 170 175 180

-6

-1

4

9

14

19

24

29

Squish & Piston velocities

Squish velocity

Piston velocity

Angle ABDC (degrees)

Ve

loc

ity

(m

/s)

Page 10: Cylinder Heads

55353.78849 120588.2688 5802.848 20.97465 108.078 45.3526154993.85207 119853.3986 5765.8 20.72455 108.0297 45.0542554625.52895 119101.4056 5727.87 20.46813 107.9808 44.7489454248.98425 118332.6268 5689.075 20.20548 107.9313 44.4368153864.38629 117547.4059 5649.432 19.93667 107.8813 44.118

53471.9065 116746.0931 5608.959 19.66179 107.8309 43.7926653071.71935 115929.0443 5567.674 19.38092 107.78 43.4609352664.00216 115096.6217 5525.596 19.09415 107.7288 43.1229652248.93503 114249.193 5482.743 18.80156 107.6773 42.778951826.70072 113387.1312 5439.133 18.50325 107.6256 42.4289

51397.4845 112510.8148 5394.787 18.1993 107.5738 42.0731150961.47405 111620.6268 5349.723 17.8898 107.5219 41.7116850518.85932 110716.9551 5303.961 17.57486 107.4699 41.3447950069.83241 109800.1918 5257.521 17.25456 107.418 40.9725749614.58746 108870.7333 5210.424 16.929 107.3662 40.5952149153.32048 107928.9799 5162.689 16.59829 107.3146 40.2128548686.22924 106975.3353 5114.337 16.26253 107.2631 39.8256648213.51317 106010.2067 5065.389 15.92181 107.212 39.4338147735.37317 105034.0042 5015.865 15.57624 107.1612 39.0374647252.01152 104047.1408 4965.787 15.22592 107.1109 38.6367946763.63172 103050.032 4915.175 14.87097 107.061 38.2319646270.43838 102043.0956 4864.052 14.51148 107.0116 37.8231345772.63707 101026.7513 4812.437 14.14758 106.9629 37.41049

45270.4342 100001.4204 4760.354 13.77937 106.9148 36.994244764.03686 98967.52585 4707.822 13.40696 106.8675 36.57443

44253.6527 97925.49154 4654.865 13.03046 106.8209 36.1513643739.48982 96875.74233 4601.503 12.65 106.7751 35.72515

43221.7566 95818.70367 4547.759 12.26568 106.7303 35.2959842700.66158 94754.80134 4493.653 11.87763 106.6864 34.8640342176.41335 93684.46119 4439.208 11.48596 106.6435 34.4294741649.22036 92608.10884 4384.445 11.09079 106.6017 33.9924641119.29087 91526.16947 4329.387 10.69224 106.5609 33.5531840586.83277 90439.0675 4274.054 10.29044 106.5214 33.1118140052.05344 89347.22638 4218.469 9.885498 106.483 32.6685239515.15969 88251.0683 4162.653 9.477547 106.4459 32.2234738976.35755 87151.01395 4106.627 9.066709 106.4101 31.7768438435.85224 86047.48226 4050.413 8.65311 106.3757 31.3287937893.84795 84940.89017 3994.032 8.236874 106.3426 30.8795137350.54781 83831.6524 3937.506 7.81813 106.311 30.4291536806.15374 82720.18116 3880.855 7.397004 106.2809 29.97789

36260.8663 81606.88598 3824.101 6.973625 106.2523 29.5258835714.88466 80492.17345 3767.264 6.548122 106.2252 29.073335168.40641 79376.44702 3710.365 6.120624 106.1997 28.6203

34621.6275 78260.10676 3653.425 5.691262 106.1758 28.1670634074.74215 77143.54917 3596.463 5.260166 106.1536 27.7137333527.94271 76027.16696 3539.5 4.827468 106.133 27.2604732981.41957 74911.3489 3482.556 4.393299 106.1141 26.8074432435.36112 73796.47956 3425.651 3.957792 106.097 26.354831889.95359 72682.93919 3368.804 3.521079 106.0816 25.90269

31345.381 71571.10349 3312.034 3.083294 106.068 25.4512830801.82509 70461.34351 3255.361 2.64457 106.0561 25.0007130259.46521 69354.02542 3198.803 2.20504 106.0461 24.5511329718.47827 68249.51041 3142.378 1.764839 106.0378 24.1026829179.03864 67148.1545 3086.106 1.3241 106.0314 23.65553

Page 11: Cylinder Heads

28641.31812 66050.30844 3030.004 0.882957 106.0268 23.2097928105.48586 64956.31757 2974.09 0.441546 106.0241 22.7656227571.70828 63866.52167 2918.381 1.549E-15 106.0232 22.3231627040.14905 62781.25492 2862.895 -0.441546 106.0241 21.8825326510.96902 61700.84569 2807.648 -0.882957 106.0268 21.4438825984.32616 60625.61653 2752.657 -1.3241 106.0314 21.0073325460.37556 59555.88405 2697.939 -1.764839 106.0378 20.5730124939.26934 58491.95884 2643.509 -2.20504 106.0461 20.1410424421.15663 57434.1454 2589.383 -2.64457 106.0561 19.7115623906.18357 56382.74205 2535.576 -3.083294 106.068 19.2846923394.49323 55338.04095 2482.104 -3.521079 106.0816 18.8605322886.22563 54300.32795 2428.981 -3.957792 106.097 18.4392122381.51772 53269.88263 2376.222 -4.393299 106.1141 18.0208421880.50332 52246.97823 2323.841 -4.827468 106.133 17.6055421383.31316 51231.88165 2271.851 -5.260166 106.1536 17.193420890.07484 50224.8534 2220.266 -5.691262 106.1758 16.7845420400.91283 49226.14763 2169.099 -6.120624 106.1997 16.3790619915.94849 48236.0121 2118.364 -6.548122 106.2252 15.9770519435.30005 47254.68821 2068.071 -6.973625 106.2523 15.5786318959.08263 46282.41099 2018.234 -7.397004 106.2809 15.1838818487.40825 45319.40912 1968.865 -7.81813 106.311 14.7928918020.38582 44365.90499 1919.975 -8.236874 106.3426 14.4057617558.12119 43422.11471 1871.574 -8.65311 106.3757 14.0225817100.71715 42488.24813 1823.675 -9.066709 106.4101 13.6434216648.27346 41564.50892 1776.287 -9.477547 106.4459 13.2683716200.88686 40651.09462 1729.421 -9.885498 106.483 12.8975215758.65113 39748.19667 1683.086 -10.29044 106.5214 12.5309415321.65709 38856.0005 1637.293 -10.69224 106.5609 12.168714889.99264 37974.68558 1592.05 -11.09079 106.6017 11.81088

14463.7428 37104.4255 1547.367 -11.48596 106.6435 11.4575514042.98977 36245.38806 1503.253 -11.87763 106.6864 11.1087713627.81292 35397.73532 1459.715 -12.26568 106.7303 10.7646213218.28887 34561.62372 1416.762 -12.65 106.7751 10.4251512814.49154 33737.20417 1374.401 -13.03046 106.8209 10.0904312416.49216 32924.62209 1332.641 -13.40696 106.8675 9.76051412024.35934 32124.01759 1291.488 -13.77937 106.9148 9.43546311638.15912 31335.52548 1250.95 -14.14758 106.9629 9.11532911257.95503 30559.27547 1211.033 -14.51148 107.0116 8.80016610883.80812 29795.39219 1171.744 -14.87097 107.061 8.49002310515.77701 29043.99533 1133.089 -15.22592 107.1109 8.18495110153.91796 28305.19978 1095.074 -15.57624 107.1612 7.884994

9798.28494 27579.1157 1057.704 -15.92181 107.212 7.5901999448.92964 26865.84862 1020.986 -16.26253 107.2631 7.300607

9105.901562 26165.49963 984.9245 -16.59829 107.3146 7.016268769.248066 25478.16541 949.5244 -16.929 107.3662 6.7371978439.014426 24803.93839 914.7907 -17.25456 107.418 6.4634568115.243888 24142.90688 880.728 -17.57486 107.4699 6.1950727797.977728 23495.15514 847.3407 -17.8898 107.5219 5.932087487.255309 22860.76353 814.6329 -18.1993 107.5738 5.674512

7183.11414 22239.80864 782.6088 -18.50325 107.6256 5.42246885.589929 21632.36338 751.2721 -18.80156 107.6773 5.1757726594.716648 21038.4971 720.6264 -19.09415 107.7288 4.9346586310.526582 20458.27571 690.6751 -19.38092 107.78 4.6990846033.050391 19891.76182 661.4217 -19.66179 107.8309 4.469075

Page 12: Cylinder Heads

5762.317165 19339.01482 632.8691 -19.93667 107.8813 4.2446565498.354477 18800.091 605.0204 -20.20548 107.9313 4.0258495241.188441 18275.04368 577.8783 -20.46813 107.9808 3.8126754990.843764 17763.92329 551.4454 -20.72455 108.0297 3.6051574747.343803 17266.77754 525.7243 -20.97465 108.078 3.4033124510.710613 16783.65144 500.7174 -21.21837 108.1255 3.2071594280.965001 16314.58749 476.4268 -21.45562 108.1723 3.0167164058.126578 15859.62571 452.8547 -21.68633 108.2183 2.8319983842.213807 15418.8038 430.0031 -21.91044 108.2635 2.6530213633.244053 14992.15722 407.8738 -22.12788 108.3077 2.4797993431.233627 14579.71926 386.4686 -22.33857 108.3509 2.3123463236.197839 14181.5212 365.7891 -22.54247 108.3931 2.1506753048.151036 13797.59231 345.8369 -22.73949 108.4343 1.994797

2867.10665 13427.96002 326.6134 -22.92959 108.4743 1.8447232693.077241 13072.64998 308.12 -23.1127 108.5132 1.7004652526.074535 12731.68612 290.3579 -23.28877 108.5508 1.5620312366.109466 12405.09077 273.3283 -23.45775 108.5872 1.4294312213.192215 12092.88471 257.0324 -23.61958 108.6223 1.3026732067.332245 11795.08728 241.471 -23.77422 108.656 1.1817651928.538338 11511.71638 226.6453 -23.92162 108.6883 1.0667141796.818629 11242.78864 212.5561 -24.06173 108.7193 0.9575271672.180636 10988.31941 199.2041 -24.19451 108.7487 0.8542111554.631295 10748.32284 186.5902 -24.31992 108.7767 0.756771444.176985 10522.81195 174.715 -24.43792 108.8031 0.665211

1340.82356 10311.79871 163.5792 -24.54848 108.828 0.5795381244.576371 10115.29403 153.1833 -24.65156 108.8513 0.4997561155.440295 9933.307877 143.5279 -24.74713 108.873 0.4258681073.419753 9765.849271 134.6135 -24.83517 108.893 0.357879998.5187346 9612.926359 126.4405 -24.91564 108.9114 0.295791

930.740817 9474.546444 119.0093 -24.98852 108.9281 0.239608870.0891822 9350.716022 112.3203 -25.05378 108.9431 0.189331816.5666333 9241.440818 106.3737 -25.11142 108.9564 0.144965770.1756096 9146.725812 101.1699 -25.1614 108.9679 0.10651730.9181992 9066.575265 96.70903 -25.20373 108.9777 0.073968698.7961498 9000.992748 92.99135 -25.23837 108.9857 0.047341673.8108786 8949.981153 90.01701 -25.26533 108.992 0.02663655.9634799 8913.542714 87.78614 -25.28459 108.9964 0.011836

645.254731 8891.679018 86.29884 -25.29615 108.9991 0.002959641.6850965 8884.391014 85.55517 -25.3 109 0

Page 13: Cylinder Heads

140 145 150 155 160 165 170 175 180

-6

-1

4

9

14

19

24

29

Squish & Piston velocities

Squish velocity

Piston velocity

Angle ABDC (degrees)

Ve

loc

ity

(m

/s)

D1

D2

D3

Step 1

Step 2

Bore

Top of Piston

Squish Angle a

a

Page 14: Cylinder Heads

140 145 150 155 160 165 170 175 180

-6

-1

4

9

14

19

24

29

Squish & Piston velocities

Squish velocity

Piston velocity

Angle ABDC (degrees)

Ve

loc

ity

(m

/s)

Page 15: Cylinder Heads

Conical Head - stepped pistonFor use with pistons such as TZ 4DP

Piston Flat top Volume 17.50Piston Dome top Volume - piston 17.50 cc

Cylinder Step 1 0.40Volume 0.99 cc

Taper D2 50.50 Dia mmStep 2 3.00 mmVolume 6.69 cc

Squish D3 45.00 Dia mmSquish Angle 1.00 DegreesHeight 0.10 mmVolume 0.19 cc

Head D4 24.00 Dia mmStep 3 10.00Volume 9.64 cc

Piston Piston Top Dia 50.00 Dia mmHeight 0.00 mmVolume 0.00 cc

Trapped CR 4.60 to OneGeometric CR 8.12 to One

= Enter Value= Result

D1

D2

D4

Step 1

Step 3

Bore

Top of Piston

Squish Angle a

a

D3

Step 2

Top of Piston

Piston Top Dia

height

B8
Combustion Chamber Volume
B9
Chamber Volume Less Domed Piston Intrusion
B15
Deck Height Plus Gasket Thickness
C37
Effective (after Port Closed) CR using Domed Piston Combustion Chamber Volume
C38
Geometric CR using Domed Piston Combustion Chamber Volume
Page 16: Cylinder Heads

D1

D2

D4

Step 1

Step 3

Bore

Top of Piston

Squish Angle a

a

D3

Step 2

Top of Piston

Piston Top Dia

height

Page 17: Cylinder Heads

Under Dev

Piston Flat top Volume 12.64 ccPiston Dome top Volume - piston 9.38 ccDepth 13.47

Cylinder Step 1 0.40Volume 0.99 cc

Squish D2 45.00 Dia mmSquish Angle 15.00 DegreesHeight 1.47 mmVolume 0.78 cc

Taper D3 29.00 Dia mmStep 2 8.00 mmVolume 8.74 cc

Head D4 23.00 Dia mmStep 2 4.00Volume 2.13 cc

Piston Piston Dome 150.00 Radius mmHeight 2.64 mmVolume 3.26 cc

Trapped CR 7.72Geometric CR 14.29

= Enter Value= Result

B7
Combustion Chamber Volume
B8
Chamber Volume Less Domed Piston Intrusion
B13
Deck Height Plus Gasket Thickness
C35
Effective (after Port Closed) CR using Domed Piston Combustion Chamber Volume
C36
Geometric CR using Domed Piston Combustion Chamber Volume
Page 18: Cylinder Heads

Use this page to Keep notes about engines

KR1S KR1S SP

Transfers Close 63° ABDC 63° ABDCExhaust (KIPS) 94° ABDC 96° ABDC

Rod length 109 109Bore 56 56Stroke 50.6 50.6

D4
New Zealand C3A a SP version of the standard KR
Page 19: Cylinder Heads

Calculation of Head Volumes

Simple head shapes are usually a collection of standard geometric shapes and as such their volume can be easily and accurately calculated. This note details the basic math used in the Head Volume spreadsheet.

First up the basic shapesHead design is not rocket science but no harm in pinching some info from them http://www.grc.nasa.gov/WWW/K-12/airplane/volume.html in fact it is worth having a look around the Glen Research Centre site http://www.grc.nasa.gov very interesting.

Truncated Cone or FrustumUse this for calculating the volume of a squish region or a conical chamber.

V= πh12

(d2+db+b2)

CylinderUsed to calculate the volume of the bore

V= πd2h

4

Page 20: Cylinder Heads

Calculation of Head Volumes

Simple head shapes are usually a collection of standard geometric shapes and as such their volume can be easily and accurately calculated. This note details the basic math used in the Head Volume spreadsheet.

First up the basic shapesHead design is not rocket science but no harm in pinching some info from them http://www.grc.nasa.gov/WWW/K-12/airplane/volume.html in fact it is worth having a look around the Glen Research Centre site http://www.grc.nasa.gov very interesting.

Truncated Cone or FrustumUse this for calculating the volume of a squish region or a conical chamber.

V= πh12

(d2+db+b2)

CylinderUsed to calculate the volume of the bore

V= πd2h

4

Spherical CapUsed to calculate the volume of a hemi-head type head. This one taken from Dr Math http://mathforum.org/dr.math/faq/formulas/

V= π6 (3 r1

2+h2)h

Ok that’s it – all the formulas you need.

What the spreadsheet does is calculate the various volumes by adding or subtracting volumes from each other as appropriate, e.g. for the volume of the squish band calculate the volume of the Frustum and subtract the volume of the cylinder inside the squish band.

Page 21: Cylinder Heads

Spherical CapUsed to calculate the volume of a hemi-head type head. This one taken from Dr Math http://mathforum.org/dr.math/faq/formulas/

V= π6 (3 r1

2+h2)h

Ok that’s it – all the formulas you need.

What the spreadsheet does is calculate the various volumes by adding or subtracting volumes from each other as appropriate, e.g. for the volume of the squish band calculate the volume of the Frustum and subtract the volume of the cylinder inside the squish band.