KT-KQ-J-Chart

7/27/2019 KT-KQ-J-Chart

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Parameter Value Units Parameter

Vessel Speed 21.020 Knots Speed of AdvanceLength L 121.900 m Thrust Required

Draft, T 7.925 m Maximum Propeller Diameter

Total Resistance, RT 1143.000 kN Propeller RPS, n

Head of Water (immersion) 5.284 m Reultant Velocity V RPropeller Blade Number, Z 4 Reynolds Number

Wake Fraction, w 0.200 Blade Area Ratio (Kellers)

Thrust Deduction Fraction, t 0.180 Hydrostatic Pressure, patm+rgh

Kinematic Viscosity (SW) 1.18831E-06 m2/s

Water Density, r 1.025 t/m3

Atmospheric Pressure, patm 98.1 kN/m2

Vapour Pressure, pv 1.7 kN/m2

J KT P/D J

0.05 0.00093 0.5 0.325

0.10 0.00371 0.6 0.379

0.15 0.00835 0.7 0.431

0.20 0.01484 0.8 0.481

0.25 0.02318 0.9 0.532

0.30 0.03338 1.0 0.578

0.35 0.04544 1.1 0.6190.40 0.05935 1.2 0.662

0.45 0.07511 1.3 0.696

0.50 0.09273 1.4 0.735

0.55 0.11220

0.60 0.13353

0.65 0.15671

0.70 0.18174

Data can be entered into the input parameters in t

KT-KQ-J chart has been completed. Once all nece

Input Parameters Calculated P

Description:

manually by producing a print out of the KT-KQ-J

corresponding J values are read off. For these J va

delivered power to be found

Description:

KT as a function of J. These values are plotted

on the KT-KQ-J chart using Kellers'

formulation for BAR

Instructions

Copy KTValues

Copy KQ Values


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Value Units c for different Z No of Blades Chord Length at 0.7R

8.650 m/s Z 5 c1393.902 kN Z 4 c

7.000 Metres Z 3 c

2 s-1

VRc/n Z 2 c

31.98 m/s

56644087.471 corrected Required Chord Length, c 2.10 m

0.550 here an if statement is required

151.232 kN/m2

KQ ho n (rps) N (RPM) Q (kN-m) PD (kW)0.007917 56.38% 3.80 228.14 1971.783 47106.6

0.010830 60.42% 3.26 195.63 1983.423 40633.3

0.015000 62.50% 2.87 172.03 2124.232 38267.5

0.020210 62.92% 2.57 154.15 2297.955 37093.8

0.026670 61.63% 2.32 139.37 2478.935 36179.2

0.034200 59.92% 2.14 128.28 2692.996 36175.4

0.043330 58.33% 2.00 119.78 2974.902 37315.40.052920 56.75% 1.87 112.00 3176.648 37257.8

0.062670 55.67% 1.78 106.53 3403.349 37966.7

0.074710 54.58% 1.68 100.88 3638.056 38431.5

he top left hand corner of the screen. Values can also be entered into the table above once manual plotting on the

sary data has been entered pressing the blue 'Copy KT Values' and 'Copy KQ Values' will copy the data calculated

rameters

This data is entered

chart and finding the intersection of the parabolic green line with the KT curves. At each intersection the

lues the corresponding open water efficiency values and KQ values are found. This allows the shaft speed and

Go to KT-KQ-J Chart

Go to Efficiency Chart


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.4373AE/AOD

.5467AE/AOD

.7396AE/AOD

.3313D


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0.50

0.5504

n C s t u v 0.05 0.10 0.15 0.20 0.25

1 0.0088049600 0 0 0 0 8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03

2 -0.2045540000 1 0 0 0 -1.022770E-02 -2.045540E-02 -3.068310E-02 -4.091080E-02 -5.113850E-02

3 0.1663510000 0 1 0 0 8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02

4 0.1581140000 0 2 0 0 3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02

5 -0.1475810000 2 0 1 0 -2.029239E-04 -8.116955E-04 -1.826315E-03 -3.246782E-03 -5.073097E-036 -0.4814970000 1 1 1 0 -6.620584E-03 -1.324117E-02 -1.986175E-02 -2.648234E-02 -3.310292E-02

7 0.4154370000 0 2 1 0 5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02

8 0.0144043000 0 0 0 1 5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02

9 -0.0530054000 2 0 0 1 -5.300540E-04 -2.120216E-03 -4.770486E-03 -8.480864E-03 -1.325135E-02

10 0.0143481000 0 1 0 1 2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02

11 0.0606826000 1 1 0 1 6.068260E-03 1.213652E-02 1.820478E-02 2.427304E-02 3.034130E-02

12 -0.0125894000 0 0 1 1 -2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02

13 0.0109689000 1 0 1 1 1.206579E-03 2.413158E-03 3.619737E-03 4.826316E-03 6.032895E-03

14 -0.1336980000 0 3 0 0 -1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02

15 0.0063840700 0 6 0 0 9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05

16 -0.0013271800 2 6 0 0 -5.184297E-08 -2.073719E-07 -4.665867E-07 -8.294875E-07 -1.296074E-06

17 0.1684960000 3 0 1 0 1.158410E-05 9.267280E-05 3.127707E-04 7.413824E-04 1.448013E-03

18 -0.0507214000 0 0 2 0 -1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02

19 0.0854559000 2 0 2 0 6.462602E-05 2.585041E-04 5.816342E-04 1.034016E-03 1.615651E-03

20 -0.0504475000 3 0 2 0 -1.907546E-06 -1.526037E-05 -5.150374E-05 -1.220830E-04 -2.384433E-04

21 0.0104650000 1 6 2 0 2.473174E-06 4.946348E-06 7.419521E-06 9.892695E-06 1.236587E-05

22 -0.0064827200 2 6 2 0 -7.660245E-08 -3.064098E-07 -6.894221E-07 -1.225639E-06 -1.915061E-0623 -0.0084172800 0 3 0 1 -4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03

24 0.0168424000 1 3 0 1 4.210600E-04 8.421200E-04 1.263180E-03 1.684240E-03 2.105300E-03

25 -0.0010229600 3 3 0 1 -6.393500E-08 -5.114800E-07 -1.726245E-06 -4.091840E-06 -7.991875E-06

26 -0.0317791000 0 3 1 1 -8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03

27 0.0186040000 1 0 2 1 1.125542E-03 2.251084E-03 3.376626E-03 4.502168E-03 5.627710E-03

28 -0.0041079800 0 2 2 1 -1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03

29 -0.0006068480 0 0 0 2 -9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03

Propeller Blade Number (Z)

Coefficients for KT

Chart Data

Expanded Area Ratio (EAR)

Pitch Ration (P/D)

Description of Calculation Chart


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0.30 0.35 0.40 0.45 0.50 0.55 0.60

8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03

-6.136620E-02 -7.159390E-02 -8.182160E-02 -9.204930E-02 -1.022770E-01 -1.125047E-01 -1.227324E-01

8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02

3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02

-7.305260E-03 -9.943270E-03 -1.298713E-02 -1.643683E-02 -2.029239E-02 -2.455379E-02 -2.922104E-02-3.972350E-02 -4.634409E-02 -5.296467E-02 -5.958525E-02 -6.620584E-02 -7.282642E-02 -7.944701E-02

5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02

5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02

-1.908194E-02 -2.597265E-02 -3.392346E-02 -4.293437E-02 -5.300540E-02 -6.413653E-02 -7.632778E-02

2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02

3.640956E-02 4.247782E-02 4.854608E-02 5.461434E-02 6.068260E-02 6.675086E-02 7.281912E-02

-2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02

7.239474E-03 8.446053E-03 9.652632E-03 1.085921E-02 1.206579E-02 1.327237E-02 1.447895E-02

-1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02

9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05

-1.866347E-06 -2.540305E-06 -3.317950E-06 -4.199280E-06 -5.184297E-06 -6.272999E-06 -7.465388E-06

2.502166E-03 3.973346E-03 5.931059E-03 8.444809E-03 1.158410E-02 1.541844E-02 2.001732E-02

-1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02

2.326537E-03 3.166675E-03 4.136066E-03 5.234708E-03 6.462602E-03 7.819749E-03 9.306148E-03

-4.120300E-04 -6.542883E-04 -9.766636E-04 -1.390601E-03 -1.907546E-03 -2.538944E-03 -3.296240E-03

1.483904E-05 1.731222E-05 1.978539E-05 2.225856E-05 2.473174E-05 2.720491E-05 2.967809E-05

-2.757688E-06 -3.753520E-06 -4.902557E-06 -6.204799E-06 -7.660245E-06 -9.268897E-06 -1.103075E-05-4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03

2.526360E-03 2.947420E-03 3.368480E-03 3.789540E-03 4.210600E-03 4.631660E-03 5.052720E-03

-1.380996E-05 -2.192971E-05 -3.273472E-05 -4.660862E-05 -6.393500E-05 -8.509749E-05 -1.104797E-04

-8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03

6.753252E-03 7.878794E-03 9.004336E-03 1.012988E-02 1.125542E-02 1.238096E-02 1.350650E-02

-1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03

-9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03


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0.65 0.70 0.75 0.80 0.85 0.90 0.95

8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03

-1.329601E-01 -1.431878E-01 -1.534155E-01 -1.636432E-01 -1.738709E-01 -1.840986E-01 -1.943263E-01

8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02

3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02

-3.429413E-02 -3.977308E-02 -4.565787E-02 -5.194851E-02 -5.864500E-02 -6.574734E-02 -7.325552E-02-8.606759E-02 -9.268817E-02 -9.930876E-02 -1.059293E-01 -1.125499E-01 -1.191705E-01 -1.257911E-01

5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02

5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02

-8.957913E-02 -1.038906E-01 -1.192622E-01 -1.356938E-01 -1.531856E-01 -1.717375E-01 -1.913495E-01

2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02

7.888738E-02 8.495564E-02 9.102390E-02 9.709216E-02 1.031604E-01 1.092287E-01 1.152969E-01

-2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02

1.568553E-02 1.689211E-02 1.809869E-02 1.930526E-02 2.051184E-02 2.171842E-02 2.292500E-02

-1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02

9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05

-8.761462E-06 -1.016122E-05 -1.166467E-05 -1.327180E-05 -1.498262E-05 -1.679712E-05 -1.871531E-05

2.545027E-02 3.178677E-02 3.909634E-02 4.744847E-02 5.691268E-02 6.755847E-02 7.945534E-02

-1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02

1.092180E-02 1.266670E-02 1.454086E-02 1.654426E-02 1.867692E-02 2.093883E-02 2.332999E-02

-4.190879E-03 -5.234306E-03 -6.437968E-03 -7.813309E-03 -9.371774E-03 -1.112481E-02 -1.308386E-02

3.215126E-05 3.462443E-05 3.709761E-05 3.957078E-05 4.204396E-05 4.451713E-05 4.699030E-05

-1.294581E-05 -1.501408E-05 -1.723555E-05 -1.961023E-05 -2.213811E-05 -2.481919E-05 -2.765349E-05-4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03

5.473780E-03 5.894840E-03 6.315900E-03 6.736960E-03 7.158020E-03 7.579080E-03 8.000140E-03

-1.404652E-04 -1.754376E-04 -2.157806E-04 -2.618778E-04 -3.141127E-04 -3.728689E-04 -4.385302E-04

-8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03

1.463205E-02 1.575759E-02 1.688313E-02 1.800867E-02 1.913421E-02 2.025976E-02 2.138530E-02

-1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03

-9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03

KT For a Range of J Values


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1.00 1.05 1.10 1.15 1.20 1.25 1.30

8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03

-2.045540E-01 -2.147817E-01 -2.250094E-01 -2.352371E-01 -2.454648E-01 -2.556925E-01 -2.659202E-01

8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02

3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02

-8.116955E-02 -8.948943E-02 -9.821516E-02 -1.073467E-01 -1.168842E-01 -1.268274E-01 -1.371765E-01-1.324117E-01 -1.390323E-01 -1.456528E-01 -1.522734E-01 -1.588940E-01 -1.655146E-01 -1.721352E-01

5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02

5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02

-2.120216E-01 -2.337538E-01 -2.565461E-01 -2.803986E-01 -3.053111E-01 -3.312838E-01 -3.583165E-01

2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02

1.213652E-01 1.274335E-01 1.335017E-01 1.395700E-01 1.456382E-01 1.517065E-01 1.577748E-01

-2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02

2.413158E-02 2.533816E-02 2.654474E-02 2.775132E-02 2.895790E-02 3.016448E-02 3.137105E-02

-1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-02

9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05

-2.073719E-05 -2.286275E-05 -2.509200E-05 -2.742493E-05 -2.986155E-05 -3.240186E-05 -3.504585E-05

9.267280E-02 1.072804E-01 1.233475E-01 1.409437E-01 1.601386E-01 1.810016E-01 2.036021E-01

-1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02

2.585041E-02 2.850008E-02 3.127900E-02 3.418717E-02 3.722459E-02 4.039127E-02 4.368719E-02

-1.526037E-02 -1.766578E-02 -2.031155E-02 -2.320911E-02 -2.636992E-02 -2.980541E-02 -3.352703E-02

4.946348E-05 5.193665E-05 5.440982E-05 5.688300E-05 5.935617E-05 6.182935E-05 6.430252E-05

-3.064098E-05 -3.378168E-05 -3.707559E-05 -4.052270E-05 -4.412301E-05 -4.787653E-05 -5.178326E-05-4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03

8.421200E-03 8.842260E-03 9.263320E-03 9.684380E-03 1.010544E-02 1.052650E-02 1.094756E-02

-5.114800E-04 -5.921020E-04 -6.807799E-04 -7.778971E-04 -8.838374E-04 -9.989844E-04 -1.123722E-03

-8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03

2.251084E-02 2.363638E-02 2.476192E-02 2.588747E-02 2.701301E-02 2.813855E-02 2.926409E-02

-1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03

-9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03


8/43

1.35 1.40 1.45 1.50

8.804960E-03 8.804960E-03 8.804960E-03 8.804960E-03

-2.761479E-01 -2.863756E-01 -2.966033E-01 -3.068310E-01

8.317550E-02 8.317550E-02 8.317550E-02 8.317550E-02

3.952850E-02 3.952850E-02 3.952850E-02 3.952850E-02

-1.479315E-01 -1.590923E-01 -1.706590E-01 -1.826315E-01-1.787558E-01 -1.853763E-01 -1.919969E-01 -1.986175E-01

5.712259E-02 5.712259E-02 5.712259E-02 5.712259E-02

5.761720E-02 5.761720E-02 5.761720E-02 5.761720E-02

-3.864094E-01 -4.155623E-01 -4.457754E-01 -4.770486E-01

2.869620E-02 2.869620E-02 2.869620E-02 2.869620E-02

1.638430E-01 1.699113E-01 1.759795E-01 1.820478E-01

-2.769668E-02 -2.769668E-02 -2.769668E-02 -2.769668E-02

3.257763E-02 3.378421E-02 3.499079E-02 3.619737E-02

-1.671225E-02 -1.671225E-02 -1.671225E-02 -1.671225E-029.975109E-05 9.975109E-05 9.975109E-05 9.975109E-05

-3.779352E-05 -4.064489E-05 -4.359994E-05 -4.665867E-05

2.280098E-01 2.542942E-01 2.825246E-01 3.127707E-01

-1.534322E-02 -1.534322E-02 -1.534322E-02 -1.534322E-02

4.711237E-02 5.066680E-02 5.435049E-02 5.816342E-02

-3.754623E-02 -4.187445E-02 -4.652314E-02 -5.150374E-02

6.677569E-05 6.924887E-05 7.172204E-05 7.419521E-05

-5.584319E-05 -6.005632E-05 -6.442266E-05 -6.894221E-05-4.208640E-03 -4.208640E-03 -4.208640E-03 -4.208640E-03

1.136862E-02 1.178968E-02 1.221074E-02 1.263180E-02

-1.258433E-03 -1.403501E-03 -1.559311E-03 -1.726245E-03

-8.739253E-03 -8.739253E-03 -8.739253E-03 -8.739253E-03

3.038963E-02 3.151518E-02 3.264072E-02 3.376626E-02

-1.242664E-03 -1.242664E-03 -1.242664E-03 -1.242664E-03

-9.709568E-03 -9.709568E-03 -9.709568E-03 -9.709568E-03


9/43

0.50

0.550

4

n C s t u v 0.05 0.10 0.15 0.20 0.25 0.30

1 0.0037936800 0 0 0 0 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03

2 0.0088652300 2 0 0 0 2.21631E-05 8.86523E-05 1.99468E-04 3.54609E-04 5.54077E-04 7.97871E-04

3 -0.0322410000 1 1 0 0 -8.06025E-04 -1.61205E-03 -2.41808E-03 -3.22410E-03 -4.03013E-03 -4.83615E-03

4 0.0034477800 0 2 0 0 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04

5 -0.0408811000 0 1 1 0 -1.12423E-02 -1.12423E-02 -1.12423E-02 -1.12423E-02 -1.12423E-02 -1.12423E-026 -0.1080090000 1 1 1 0 -1.48512E-03 -2.97025E-03 -4.45537E-03 -5.94050E-03 -7.42562E-03 -8.91074E-03

7 -0.0885381000 2 1 1 0 -6.08699E-05 -2.43480E-04 -5.47829E-04 -9.73919E-04 -1.52175E-03 -2.19132E-03

8 0.1885610000 0 2 1 0 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02

9 -0.0037087100 1 0 0 1 -7.41742E-04 -1.48348E-03 -2.22523E-03 -2.96697E-03 -3.70871E-03 -4.45045E-03

10 0.0051369600 0 1 0 1 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02

11 0.0209449000 1 1 0 1 2.09449E-03 4.18898E-03 6.28347E-03 8.37796E-03 1.04725E-02 1.25669E-02

12 0.0047431900 2 1 0 1 2.37160E-05 9.48638E-05 2.13444E-04 3.79455E-04 5.92899E-04 8.53774E-04

13 -0.0072340800 2 0 1 1 -3.97874E-05 -1.59150E-04 -3.58087E-04 -6.36599E-04 -9.94686E-04 -1.43235E-03

14 0.0043838800 1 1 1 1 2.41113E-04 4.82227E-04 7.23340E-04 9.64454E-04 1.20557E-03 1.44668E-0315 -0.0269403000 0 2 1 1 -1.48172E-02 -1.48172E-02 -1.48172E-02 -1.48172E-02 -1.48172E-02 -1.48172E-02

16 0.0558082000 3 0 1 0 3.83681E-06 3.06945E-05 1.03594E-04 2.45556E-04 4.79602E-04 8.28752E-04

17 0.0161886000 0 3 1 0 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03

18 0.0031808600 1 3 1 0 1.09342E-05 2.18684E-05 3.28026E-05 4.37368E-05 5.46710E-05 6.56052E-05

19 0.0158960000 0 0 2 0 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03

20 0.0471729000 1 0 2 0 7.13490E-04 1.42698E-03 2.14047E-03 2.85396E-03 3.56745E-03 4.28094E-03

21 0.0196283000 3 0 2 0 7.42195E-07 5.93756E-06 2.00393E-05 4.75005E-05 9.27744E-05 1.60314E-04

22 -0.0502782000 0 1 2 0 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03

23 -0.0300550000 3 1 2 0 -5.68227E-07 -4.54582E-06 -1.53421E-05 -3.63666E-05 -7.10284E-05 -1.22737E-04

24 0.0417122000 2 2 2 0 7.88621E-06 3.15449E-05 7.09759E-05 1.26179E-04 1.97155E-04 2.83904E-04

25 -0.0397722000 0 3 2 0 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03

26 -0.0035002400 0 6 2 0 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05

27 -0.0106854000 3 0 0 1 -5.34270E-06 -4.27416E-05 -1.44253E-04 -3.41933E-04 -6.67838E-04 -1.15402E-03

28 0.0011090300 3 3 0 1 6.93144E-08 5.54515E-07 1.87149E-06 4.43612E-06 8.66430E-06 1.49719E-05

29 -0.0003139120 0 6 0 1 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05

Chart Data Description of Calculation Chart

Pitch Ration (P/D)

Expanded Area Ratio (EAR)

Propeller Blade Number (Z)

Coefficients for KQ


10/43

46 -0.0004659000 0 6 2 2 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05

47 0.0000554194 1 6 2 2 2.09555E-07 4.19109E-07 6.28664E-07 8.38218E-07 1.04777E-06 1.25733E-06

0.01684848 0.01593755 0.01496454 0.01392817 0.01282718 0.01166030

0.01577736 0.01486437 0.01388972 0.01285215 0.01175038 0.01058315KQ + KQ

Summation of KQ


11/43

0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70

3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03

1.08599E-03 1.41844E-03 1.79521E-03 2.21631E-03 2.68173E-03 3.19148E-03 3.74556E-03 4.34396E-03

-5.64218E-03 -6.44820E-03 -7.25423E-03 -8.06025E-03 -8.86628E-03 -9.67230E-03 -1.04783E-02 -1.12844E-02

8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04

-1.12423E-02 -1.12423E-02 -1.12423E-02 -1.12423E-02 -1.12423E-02 -1.12423E-02 -1.12423E-02 -1.12423E-02-1.03959E-02 -1.18810E-02 -1.33661E-02 -1.48512E-02 -1.63364E-02 -1.78215E-02 -1.93066E-02 -2.07917E-02

-2.98263E-03 -3.89568E-03 -4.93047E-03 -6.08699E-03 -7.36526E-03 -8.76527E-03 -1.02870E-02 -1.19305E-02

2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02

-5.19219E-03 -5.93394E-03 -6.67568E-03 -7.41742E-03 -8.15916E-03 -8.90090E-03 -9.64265E-03 -1.03844E-02

1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02

1.46614E-02 1.67559E-02 1.88504E-02 2.09449E-02 2.30394E-02 2.51339E-02 2.72284E-02 2.93229E-02

1.16208E-03 1.51782E-03 1.92099E-03 2.37160E-03 2.86963E-03 3.41510E-03 4.00800E-03 4.64833E-03

-1.94958E-03 -2.54640E-03 -3.22278E-03 -3.97874E-03 -4.81428E-03 -5.72939E-03 -6.72408E-03 -7.79834E-03

1.68779E-03 1.92891E-03 2.17002E-03 2.41113E-03 2.65225E-03 2.89336E-03 3.13447E-03 3.37559E-03-1.48172E-02 -1.48172E-02 -1.48172E-02 -1.48172E-02 -1.48172E-02 -1.48172E-02 -1.48172E-02 -1.48172E-02

1.31603E-03 1.96445E-03 2.79704E-03 3.83681E-03 5.10680E-03 6.63001E-03 8.42948E-03 1.05282E-02

1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03

7.65394E-05 8.74737E-05 9.84079E-05 1.09342E-04 1.20276E-04 1.31210E-04 1.42145E-04 1.53079E-04

4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03

4.99443E-03 5.70792E-03 6.42141E-03 7.13490E-03 7.84839E-03 8.56188E-03 9.27537E-03 9.98886E-03

2.54573E-04 3.80004E-04 5.41060E-04 7.42195E-04 9.87862E-04 1.28251E-03 1.63060E-03 2.03658E-03

-7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03

-1.94902E-04 -2.90932E-04 -4.14238E-04 -5.68227E-04 -7.56311E-04 -9.81897E-04 -1.24840E-03 -1.55922E-03

3.86424E-04 5.04718E-04 6.38783E-04 7.88621E-04 9.54232E-04 1.13561E-03 1.33277E-03 1.54570E-03

-1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03

-1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05

-1.83255E-03 -2.73546E-03 -3.89483E-03 -5.34270E-03 -7.11113E-03 -9.23219E-03 -1.17379E-02 -1.46604E-02

2.37748E-05 3.54890E-05 5.05302E-05 6.93144E-05 9.22574E-05 1.19775E-04 1.52284E-04 1.90199E-04

-1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05


12/43

-3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05

1.46688E-06 1.67644E-06 1.88599E-06 2.09555E-06 2.30510E-06 2.51466E-06 2.72421E-06 2.93376E-06

0.01042626 0.00912380 0.00775165 0.00630855 0.00479322 0.00320440 0.00154082 -0.00019878

0.00934919 0.00804723 0.00667602 0.00523427 0.00372073 0.00213413 0.00047320 -0.00126333


13/43

0.75 0.80 0.85 0.90 0.95 1.00 1.05 1.10

3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03

4.98669E-03 5.67375E-03 6.40513E-03 7.18084E-03 8.00087E-03 8.86523E-03 9.77392E-03 1.07269E-02

-1.20904E-02 -1.28964E-02 -1.37024E-02 -1.45085E-02 -1.53145E-02 -1.61205E-02 -1.69265E-02 -1.77326E-02

8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04


-1.36957E-02 -1.55827E-02 -1.75914E-02 -1.97219E-02 -2.19740E-02 -2.43480E-02 -2.68436E-02 -2.94611E-02

2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02

-1.11261E-02 -1.18679E-02 -1.26096E-02 -1.33514E-02 -1.40931E-02 -1.48348E-02 -1.55766E-02 -1.63183E-02

1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02

3.14174E-02 3.35118E-02 3.56063E-02 3.77008E-02 3.97953E-02 4.18898E-02 4.39843E-02 4.60788E-02

5.33609E-03 6.07128E-03 6.85391E-03 7.68397E-03 8.56146E-03 9.48638E-03 1.04587E-02 1.14785E-02

-8.95217E-03 -1.01856E-02 -1.14986E-02 -1.28911E-02 -1.43633E-02 -1.59150E-02 -1.75463E-02 -1.92571E-02


1.29492E-02 1.57156E-02 1.88503E-02 2.23763E-02 2.63167E-02 3.06945E-02 3.55327E-02 4.08544E-02

1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03

1.64013E-04 1.74947E-04 1.85882E-04 1.96816E-04 2.07750E-04 2.18684E-04 2.29618E-04 2.40553E-04

4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03

1.07024E-02 1.14158E-02 1.21293E-02 1.28428E-02 1.35563E-02 1.42698E-02 1.49833E-02 1.56968E-02

2.50491E-03 3.04003E-03 3.64640E-03 4.32848E-03 5.09072E-03 5.93756E-03 6.87347E-03 7.90289E-03

-7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03

-1.91777E-03 -2.32746E-03 -2.79170E-03 -3.31390E-03 -3.89747E-03 -4.54582E-03 -5.26235E-03 -6.05048E-03

1.77440E-03 2.01887E-03 2.27912E-03 2.55513E-03 2.84692E-03 3.15449E-03 3.47782E-03 3.81693E-03

-1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03

-1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05

-1.80316E-02 -2.18837E-02 -2.62487E-02 -3.11586E-02 -3.66456E-02 -4.27416E-02 -4.94787E-02 -5.68891E-02

2.33936E-04 2.83912E-04 3.40542E-04 4.04241E-04 4.75427E-04 5.54515E-04 6.41920E-04 7.38059E-04

-1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05

KQ For a Range of J Values


14/43

-3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05

3.14332E-06 3.35287E-06 3.56243E-06 3.77198E-06 3.98154E-06 4.19109E-06 4.40065E-06 4.61020E-06

-0.00201567 -0.00391112 -0.00588639 -0.00794276 -0.01008148 -0.01230383 -0.01461107 -0.01700447

-0.00307672 -0.00496824 -0.00693916 -0.00899074 -0.01112425 -0.01334096 -0.01564214 -0.01802904


15/43

1.15 1.20 1.25 1.30 1.35 1.40 1.45 1.50

3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03 3.79368E-03

1.17243E-02 1.27659E-02 1.38519E-02 1.49822E-02 1.61569E-02 1.73759E-02 1.86391E-02 1.99468E-02

-1.85386E-02 -1.93446E-02 -2.01506E-02 -2.09567E-02 -2.17627E-02 -2.25687E-02 -2.33747E-02 -2.41808E-02

8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04 8.61945E-04


-3.22002E-02 -3.50611E-02 -3.80437E-02 -4.11481E-02 -4.43742E-02 -4.77220E-02 -5.11916E-02 -5.47829E-02

2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02 2.59271E-02

-1.70601E-02 -1.78018E-02 -1.85436E-02 -1.92853E-02 -2.00270E-02 -2.07688E-02 -2.15105E-02 -2.22523E-02

1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02 1.02739E-02

4.81733E-02 5.02678E-02 5.23623E-02 5.44567E-02 5.65512E-02 5.86457E-02 6.07402E-02 6.28347E-02

1.25457E-02 1.36604E-02 1.48225E-02 1.60320E-02 1.72889E-02 1.85933E-02 1.99451E-02 2.13444E-02

-2.10476E-02 -2.29176E-02 -2.48672E-02 -2.68963E-02 -2.90050E-02 -3.11934E-02 -3.34612E-02 -3.58087E-02


4.66825E-02 5.30401E-02 5.99502E-02 6.74358E-02 7.55200E-02 8.42257E-02 9.35761E-02 1.03594E-01

1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03 1.11297E-03

2.51487E-04 2.62421E-04 2.73355E-04 2.84289E-04 2.95224E-04 3.06158E-04 3.17092E-04 3.28026E-04

4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03 4.80854E-03

1.64103E-02 1.71238E-02 1.78373E-02 1.85507E-02 1.92642E-02 1.99777E-02 2.06912E-02 2.14047E-02

9.03029E-03 1.02601E-02 1.15968E-02 1.30448E-02 1.46086E-02 1.62927E-02 1.81014E-02 2.00393E-02

-7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03 -7.60458E-03

-6.91362E-03 -7.85517E-03 -8.87855E-03 -9.98716E-03 -1.11844E-02 -1.24737E-02 -1.38585E-02 -1.53421E-02

4.17181E-03 4.54246E-03 4.92888E-03 5.33108E-03 5.74905E-03 6.18279E-03 6.63230E-03 7.09759E-03

-1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03 -1.50389E-03

-1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05 -1.65441E-05

-6.50046E-02 -7.38575E-02 -8.34797E-02 -9.39033E-02 -1.05160E-01 -1.17283E-01 -1.30303E-01 -1.44253E-01

8.43348E-04 9.58202E-04 1.08304E-03 1.21827E-03 1.36431E-03 1.52159E-03 1.69051E-03 1.87149E-03

-1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05 -1.96195E-05


16/43

-3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05 -3.52337E-05

4.81976E-06 5.02931E-06 5.23887E-06 5.44842E-06 5.65797E-06 5.86753E-06 6.07708E-06 6.28664E-06

-0.01948530 -0.02205482 -0.02471430 -0.02746500 -0.03030820 -0.03324516 -0.03627715 -0.03940543

-0.02050294 -0.02306511 -0.02571681 -0.02845931 -0.03129387 -0.03422177 -0.03724427 -0.04036263


17/43

0.7

P/D 0.05 0.10 0.15 0.20 0.25 0.30 0.35

0.5 0.1889110496 0.1741626763 0.1584074179 0.1417077955 0.1241263298 0.1057255419 0.08656795260.6 0.2394599128 0.22440725 0.208346726 0.191340598 0.17345112 0.15474055 0.135271144

0.7 0.2912161968 0.275953531 0.259681268 0.242461309 0.224355554 0.205425901 0.185734253

0.8 0.3430923850 0.327733256 0.311361547 0.294038709 0.275826191 0.256785443 0.236977914

0.9 0.3941140449 0.378790703 0.362449824 0.345152319 0.326959099 0.307931075 0.288129157

1.0 0.4434542121 0.428316908 0.412154095 0.395026074 0.376993145 0.358115609 0.338453765

1.1 0.4904723580 0.475688444 0.459866603 0.443066483 0.425347732 0.40677 0.387392934

1.2 0.5347579433 0.520510769 0.505206881 0.488905281 0.471664975 0.453544964 0.434604254

1.3 0.5761785542 0.562666126 0.54806932 0.532446571 0.515856312 0.498356977 0.480006998

1.4 0.6149326249 0.602366011 0.588675276 0.573918449 0.558153562 0.541438644 0.523831727

P/D 0.05 0.10 0.15 0.20 0.25 0.30 0.35

0.5 0.1504968247 0.1408504300 0.1303995257 0.1192148032 0.1073669542 0.0949266702 0.0819646429

0.6 0.2171894088 0.2053994927 0.1926627860 0.1790439234 0.1646075398 0.1494182698 0.1335407482

0.7 0.3002185710 0.2863489762 0.2714024281 0.2554390114 0.2385188111 0.2207019118 0.2020483986

0.8 0.3988305133 0.3829562804 0.3658854199 0.3476750842 0.3283824255 0.3080645959 0.28677874780.9 0.5122280640 0.4944391707 0.4753427084 0.4549945611 0.4334506126 0.4107667469 0.3869988478

1.0 0.6395574893 0.6199637277 0.5989582672 0.5765973521 0.5529372265 0.5280341346 0.5019443204

1.1 0.7798935469 0.7586306894 0.7358566845 0.7116296254 0.6860076050 0.6590487162 0.6308110521

1.2 0.9322227813 0.9094601865 0.8850892896 0.8591712523 0.8317672358 0.8029384016 0.7727459112

1.3 1.0954250604 1.0713748714 1.0456188201 1.0182219313 0.9892492299 0.9587657408 0.9268364887

1.4 1.2682533539 1.2431814400 1.2163026280 1.1876859909 1.1574006020 1.1255155345 1.0920998613

Advance Coefficient Values (J)

Table One - Summation of KT Data


Table Two - Summation of KQ Data


18/43

P/D 0.0 0.05 0.10 0.15 0.20 0.25 0.30

0.5 0.000 0.100 0.197 0.290 0.378 0.460 0.532

0.6 0.000 0.088 0.174 0.258 0.340 0.419 0.494

0.7 0.000 0.077 0.153 0.228 0.302 0.374 0.444

0.8 0.000 0.068 0.136 0.203 0.269 0.334 0.3980.9 0.000 0.061 0.122 0.182 0.241 0.300 0.358

1.0 0.000 0.055 0.110 0.164 0.218 0.271 0.324

1.1 0.000 0.050 0.100 0.149 0.198 0.247 0.295

1.2 0.000 0.046 0.091 0.136 0.181 0.226 0.270

1.3 0.000 0.042 0.084 0.125 0.166 0.207 0.248

1.4 0.000 0.039 0.077 0.116 0.154 0.192 0.230


19/43

0.8

0.9

1

1.1

1.2

1.3

1.4

1.5


20/43

0.40 0.45 0.50 0.55 0.60 0.65 0.70

0.0667160829 0.0462324536 0.0251795856 0.0036200000 -0.0183837825 -0.0407692409 -0.06347385430.115105157 0.094304848 0.072932471 0.051050283 0.02872054 0.006005499 -0.017032584

0.165342508 0.144312567 0.12270633 0.100585696 0.078012567 0.055048841 0.031756419

0.216465053 0.195308311 0.173569137 0.151308981 0.128589292 0.10547152 0.082017115

0.267614256 0.246447283 0.224689149 0.202400765 0.179643041 0.156476888 0.132963217

0.318067915 0.297018358 0.275365394 0.253169325 0.23049045 0.20738907 0.183925485

0.367276185 0.3464794 0.325062229 0.30308432 0.280605321 0.257684882 0.234382651

0.414901848 0.394496748 0.37344796 0.351814486 0.329655331 0.307029497 0.28399599

0.460864808 0.440988842 0.420437532 0.399269312 0.377542615 0.355315875 0.332647524

0.50539084 0.486174015 0.466239281 0.445644669 0.424448209 0.402707932 0.380481869

0.40 0.45 0.50 0.55 0.60 0.65 0.70

0.0685515639 0.0547581248 0.0406550172 0.0263129327 0.0118025630 -0.0028054005 -0.0174402661

0.1170396097 0.0999794890 0.0824250208 0.0644408400 0.0460915811 0.0274418790 0.0085563683

0.1826183561 0.1624718693 0.1416690229 0.1202699018 0.0983345909 0.0759231749 0.0530957388

0.2645820333 0.2415316048 0.2176846143 0.1930982142 0.1678295567 0.1419357940 0.11547407840.3622027992 0.3364344851 0.3097497892 0.2822045956 0.2538547880 0.2247562504 0.1949648666

0.4747240283 0.4464295023 0.4171169867 0.3868427255 0.3556629630 0.3236339433 0.2908119105

0.6013527056 0.5707317697 0.5390063375 0.5062345018 0.4724743557 0.4377839921 0.4022215041

0.7412509260 0.7085146074 0.6745981170 0.6395626160 0.6034692661 0.5663792285 0.5283536648

0.8935264984 0.8589007950 0.8230244031 0.7859623476 0.7477796533 0.7085413452 0.6683124480

1.0572226558 1.0209529910 0.9833599401 0.9445125762 0.9044799726 0.8633312022 0.8211353384


21/43

0.35 0.40 0.45 0.50 0.55 0.60 0.65

0.588 0.620 0.605 0.493 0.120 -1.487 15.034

0.564 0.626 0.676 0.704 0.693 0.595 0.226

0.512 0.576 0.636 0.689 0.732 0.758 0.750

0.460 0.521 0.579 0.635 0.686 0.732 0.7690.415 0.470 0.525 0.577 0.628 0.676 0.720

0.376 0.427 0.477 0.525 0.573 0.619 0.663

0.342 0.389 0.435 0.480 0.524 0.567 0.609

0.313 0.356 0.399 0.441 0.482 0.522 0.561

0.288 0.328 0.368 0.407 0.445 0.482 0.519

0.267 0.304 0.341 0.377 0.413 0.448 0.483


22/43


23/43

0.75 0.80 0.85 0.90 0.95 1.00 1.05

-0.0864351018 -0.1095904624 -0.132877415 -0.15623344 -0.179596014 -0.202902619 -0.226090732

-0.040331453 -0.063828852 -0.087462524 -0.111170213 -0.134889662 -0.158558616 -0.182114819

0.008197201 -0.015566912 -0.039474022 -0.063462227 -0.087469628 -0.111434325 -0.135294417

0.058287526 0.034344203 0.010248595 -0.013937848 -0.038153676 -0.06233744 -0.08642769

0.109162939 0.085136965 0.060946205 0.03665157 0.012313971 -0.012005681 -0.036246476

0.160159995 0.136152901 0.111964503 0.087655101 0.063284995 0.038914487 0.014603875

0.210758277 0.186871409 0.162781695 0.138548785 0.114232326 0.089891968 0.065587359

0.260613811 0.236941965 0.213039456 0.188965287 0.164778462 0.140537984 0.116302858

0.309595996 0.286219724 0.262577142 0.238726683 0.21472678 0.190635866 0.166512375

0.357828049 0.334804504 0.311469263 0.287880358 0.264095818 0.240173674 0.216171957

0.75 0.80 0.85 0.90 0.95 1.00 1.05

-0.0320313421 -0.0465079370 -0.0607993591 -0.0748349169 -0.0885439188 -0.1018556731 -0.1146994882

-0.0105003161 -0.0296635396 -0.0488686675 -0.0680510650 -0.0871460974 -0.1060891299 -0.1248155279

0.0299123672 0.0064331452 -0.0172818426 -0.0411725112 -0.0651787758 -0.0892405516 -0.1132977538

0.0885015620 0.0610753972 0.0332527361 0.0050907310 -0.0233534659 -0.0520227023 -0.08085982600.1645365206 0.1335270962 0.1019924773 0.0699885479 0.0375711917 0.0047962927 -0.0282802651

0.2572531089 0.2230137826 0.1881501758 0.1527185325 0.1167750971 0.0803761136 0.0435778263

0.3658449846 0.3287125265 0.2908822230 0.2524121669 0.2133604512 0.1737851690 0.1337444132

0.4894537364 0.4497406047 0.4092754312 0.3681193773 0.3263336045 0.2839792741 0.2411175477

0.6271579865 0.5851429856 0.5423324702 0.4987914651 0.4545849950 0.4097780849 0.3644357597

0.7779614542 0.7338786228 0.6889559173 0.6432624108 0.5968671766 0.5498392878 0.5022478175


24/43

0.70 0.75 0.80 0.85 0.90 0.95 1.00

4.055 3.221 3.000 2.957 2.990 3.067 3.170

-2.218 4.585 2.740 2.421 2.340 2.340 2.379

0.666 0.327 -3.081 3.090 2.208 2.029 1.987

0.791 0.786 0.716 0.417 -3.922 2.470 1.9070.760 0.792 0.812 0.808 0.750 0.496 -3.984

0.705 0.743 0.777 0.805 0.822 0.819 0.771

0.649 0.688 0.724 0.757 0.786 0.810 0.823

0.599 0.636 0.671 0.704 0.735 0.763 0.788

0.555 0.589 0.623 0.655 0.686 0.714 0.740

0.516 0.549 0.581 0.612 0.641 0.669 0.695


25/43


26/43

1.10 1.15 1.20 1.25 1.30 1.35 1.40

-0.249097832 -0.2718614 -0.294318913 -0.316407851 -0.338065694 -0.359229919 -0.379838007

-0.205496012 -0.228639942 -0.25148435 -0.273966982 -0.29602558 -0.317597889 -0.338621651

-0.158988005 -0.182453188 -0.205628067 -0.228450742 -0.250859311 -0.272791876 -0.294186537

-0.110362976 -0.134081849 -0.157522859 -0.180624557 -0.203325493 -0.225564217 -0.24727928

-0.060347502 -0.084247849 -0.107886606 -0.131202863 -0.154135708 -0.17662423 -0.198607519

-0.009586539 -0.033596455 -0.057365573 -0.080833592 -0.103940213 -0.126625134 -0.148828057

0.041378148 0.017323984 -0.006515484 -0.030080608 -0.05331174 -0.076149229 -0.098533428

0.092132086 0.068084673 0.044219621 0.020595936 -0.00272738 -0.025691323 -0.048236889

0.142414741 0.118401396 0.094530773 0.070861307 0.04745143 0.024359575 0.001644177

0.192148696 0.168161923 0.144269668 0.120529961 0.097000833 0.073740314 0.050806435

1.10 1.15 1.20 1.25 1.30 1.35 1.40

-0.1270046725 -0.1387005345 -0.1497163825 -0.1599815249 -0.1694252701 -0.1779769265 -0.1855658025

-0.1432606565 -0.1613598811 -0.1790485670 -0.1962620794 -0.2129357836 -0.2290050448 -0.2444052284

-0.1372902975 -0.1611580979 -0.1848410702 -0.2082791295 -0.2314121909 -0.2541801698 -0.2765229811

-0.1098076849 -0.1388091266 -0.1678069989 -0.1967441496 -0.2255634265 -0.2542076773 -0.2826197498-0.0616025981 -0.0951148222 -0.1287610535 -0.1624854082 -0.1962320024 -0.2299449521 -0.2635683736

0.0064364792 -0.0309916834 -0.0686504174 -0.1064834787 -0.1444346230 -0.1824476062 -0.2204661842

0.0932962767 0.0524988527 0.0114102340 -0.0299114864 -0.0714082155 -0.1130218602 -0.1546943277

0.1978095866 0.1541165524 0.1100996064 0.0658199101 0.0213386250 -0.0232830876 -0.0679840662

0.3186230440 0.2724049628 0.2258465409 0.1790128032 0.1319687744 0.0847794795 0.0375099432

0.4541618389 0.4056504250 0.3567826492 0.3076275844 0.2582543040 0.2087318809 0.1591293883


27/43

1.05 1.10 1.15 1.20 1.25 1.30 1.35

3.294 3.434 3.587 3.754 3.935 4.128 4.337

2.438 2.511 2.593 2.683 2.777 2.876 2.980

1.996 2.027 2.072 2.125 2.182 2.243 2.306

1.786 1.760 1.768 1.793 1.826 1.865 1.9062.142 1.715 1.621 1.600 1.606 1.625 1.650

0.560 -2.608 1.984 1.596 1.510 1.489 1.491

0.820 0.776 0.604 -1.091 2.001 1.545 1.448

0.806 0.815 0.809 0.767 0.623 -0.264 2.371

0.764 0.783 0.796 0.799 0.788 0.744 0.617

0.719 0.741 0.759 0.772 0.779 0.777 0.759


28/43


29/43

1.45 1.50

-0.399827436 -0.419135686

-0.359034612 -0.378774514

-0.314981392 -0.335114543

-0.268409232 -0.288892624

-0.220024665 -0.240814756

-0.170488679 -0.191546702

-0.120404688 -0.14170336

-0.070305075 -0.091836877

-0.020636332 -0.042423519

0.028257226 0.006150717

1.45 1.50 P/D 0.05 0.10

-0.1921212065 -0.1975724468 0.5 0.0150496825 0.01408504

-0.2590716995 -0.2729398235 0.6 0.0217189409 0.02053995

-0.2983805401 -0.3196927620 0.7 0.0300218571 0.0286349

-0.3107424918 -0.3385187510 0.8 0.0398830513 0.03829563-0.2970463829 -0.3303230961 0.9 0.0512228064 0.04944392

-0.2584341127 -0.2962951476 1.0 0.0639557489 0.06199637

-0.1963675249 -0.2379833589 1.1 0.0779893547 0.07586307

-0.1127031493 -0.1573791755 1.2 0.0932222781 0.09094602

-0.0097748096 -0.0570097541 1.3 0.1095425060 0.10713749

0.1095158995 0.0599604875 1.4 0.1268253354 0.12431814


30/43

1.40 1.45 1.50

4.561 4.803 5.065

3.087 3.198 3.313

2.370 2.436 2.502

1.950 1.993 2.0371.679 1.709 1.740

1.504 1.522 1.543

1.419 1.415 1.421

1.581 1.440 1.393

0.098 4.872 1.777

0.711 0.595 0.245


31/43


32/43

0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55

0.01303995 0.01192148 0.0107367 0.00949267 0.00819646 0.00685516 0.00547581 0.0040655 0.00263129

0.01926628 0.01790439 0.01646075 0.01494183 0.01335407 0.01170396 0.00999795 0.0082425 0.00644408

0.02714024 0.0255439 0.02385188 0.02207019 0.02020484 0.01826184 0.01624719 0.0141669 0.01202699

0.03658854 0.03476751 0.03283824 0.03080646 0.02867787 0.0264582 0.02415316 0.02176846 0.019309820.04753427 0.04549946 0.04334506 0.04107667 0.03869988 0.03622028 0.03364345 0.03097498 0.02822046

0.05989583 0.05765974 0.05529372 0.05280341 0.05019443 0.0474724 0.04464295 0.0417117 0.03868427

0.07358567 0.07116296 0.06860076 0.06590487 0.06308111 0.06013527 0.05707318 0.05390063 0.05062345

0.08850893 0.08591713 0.08317672 0.08029384 0.07727459 0.07412509 0.07085146 0.06745981 0.06395626

0.10456188 0.10182219 0.09892492 0.09587657 0.09268365 0.08935265 0.08589008 0.08230244 0.07859623

0.12163026 0.1187686 0.11574006 0.11255155 0.10920999 0.10572227 0.1020953 0.09833599 0.09445126


33/43


34/43


35/43

0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00

0.00118026 -0.0002805 -0.001744 -0.0032031 -0.0046508 -0.0060799 -0.0074835 -0.0088544 -0.0101856

0.00460916 0.00274419 0.00085564 -0.00105 -0.0029664 -0.0048869 -0.0068051 -0.0087146 -0.0106089

0.00983346 0.00759232 0.00530957 0.00299124 0.00064331 -0.0017282 -0.0041173 -0.0065179 -0.0089241

0.01678296 0.01419358 0.01154741 0.00885016 0.00610754 0.00332527 0.00050907 -0.0023353 -0.00520230.02538548 0.02247563 0.01949649 0.01645365 0.01335271 0.01019925 0.00699885 0.00375712 0.00047963

0.0355663 0.03236339 0.02908119 0.02572531 0.02230138 0.01881502 0.01527185 0.01167751 0.00803761

0.04724744 0.0437784 0.04022215 0.0365845 0.03287125 0.02908822 0.02524122 0.02133605 0.01737852

0.06034693 0.05663792 0.05283537 0.04894537 0.04497406 0.04092754 0.03681194 0.03263336 0.02839793

0.07477797 0.07085413 0.06683124 0.0627158 0.0585143 0.05423325 0.04987915 0.0454585 0.04097781

0.090448 0.08633312 0.08211353 0.07779615 0.07338786 0.06889559 0.06432624 0.05968672 0.05498393

Table Two - Summation of KQ Data



36/43


37/43


38/43

1.05 1.10 1.15 1.20 1.25 1.30 1.35 1.40 1.45

-0.0114699 -0.0127005 -0.0138701 -0.0149716 -0.0159982 -0.0169425 -0.0177977 -0.0185566 -0.0192121

-0.0124816 -0.0143261 -0.016136 -0.0179049 -0.0196262 -0.0212936 -0.0229005 -0.0244405 -0.0259072

-0.0113298 -0.013729 -0.0161158 -0.0184841 -0.0208279 -0.0231412 -0.025418 -0.0276523 -0.0298381

-0.008086 -0.0109808 -0.0138809 -0.0167807 -0.0196744 -0.0225563 -0.0254208 -0.028262 -0.0310742-0.002828 -0.0061603 -0.0095115 -0.0128761 -0.0162485 -0.0196232 -0.0229945 -0.0263568 -0.0297046

0.00435778 0.00064365 -0.0030992 -0.006865 -0.0106483 -0.0144435 -0.0182448 -0.0220466 -0.0258434

0.01337444 0.00932963 0.00524989 0.00114102 -0.0029911 -0.0071408 -0.0113022 -0.0154694 -0.0196368

0.02411175 0.01978096 0.01541166 0.01100996 0.00658199 0.00213386 -0.0023283 -0.0067984 -0.0112703

0.03644358 0.0318623 0.0272405 0.02258465 0.01790128 0.01319688 0.00847795 0.00375099 -0.0009775

0.05022478 0.04541618 0.04056504 0.03567826 0.03076276 0.02582543 0.02087319 0.01591294 0.01095159


39/43


40/43


41/43

1.50

-0.0197572

-0.027294

-0.0319693

-0.0338519-0.0330323

-0.0296295

-0.0237983

-0.0157379

-0.005701

0.00599605

1.00

Wageningen B-Series KT-KQ-J Chart


42/43

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

0.0 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.05 1.10 1.15 1.20 1.25 1.30 1.35 1.40

ThrustCoefficient(KT)

Advance Coefficient (J)


43/43

0.00

50.00

100.00

150.00

200.00

250.00

50.00%

52.00%

54.00%

56.00%

58.00%

60.00%

62.00%

64.00%

0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4

OpenWaterEfficiency

P/D

Shaft Speed & Efficiency for a Given Thrust

Open Water Efficiency

n (rps)

KT-KQ-J-Chart

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