ittc ua ver 27

27
Scale factor: - - 26.37 - Scale factor: - - 26.37 - Number of prop: 1 - 1 - Number of blades: 4 - 4 - Water density Ship: 1.025  ton/m 3 1000.0  kg/m 3 Propeller diameter: 6.00 m 0.2275 m Design speed: 17.00 knot 1.703 m/s Coord length 0.75R 2.03 m 0.076981 m Lpp: 171.41 m 6.500 m Blade thickness 0.75R 0.0791 m 0.003 m Lwl: 174.99 m 6.636 m Pitch ratio P/D=0.75R: 0.94 - 0.94 - Los: 179.90 m 6.822 m Pitch ratio P/D=0.7R: 0.94 - 0.94 - Draft fore: 7.91 m 0.300 m Reynolds number /1E5:  -  - 5.7 - Draft aft: 7.91 m 0.300 m J value at KT=0:  -  - 0.98 - Breadth: 29.01 m 1.100 m Surface roughness 3.00E-05 m  -  - Block Coefficient 0.5702 0.5702 BAR: 0.60 - 0.60 - Wetted surface incl. rudder: 5284.86  m  7.600  m Displacement: 22988.40 ton 1223.1 kg Waterplane Area 3380.92  m  4.862  m  Gravity 9.81 m/s Surface roughness 1.50E-04 m - - Roughness allowance: 0.4 - - - Wetted surf ace Ship: 5214.86 m 2 Wetted surface Rudder: 70 m 2 Wetted surface Total: 5284.86 m  Accuracy of Model Manufactu Model Ship Longitudinal accuracy 0.001 0 m Transverse accuracy 0.001 0 m Vertical accuracy 0.001 0 m indicates data not required for the calculation but used for completeness indicates required inputs from the user indicates that it should be calculated from the raw experiment data however input by user due to missing raw data Bias Error indicates that item contributes the total bias limit CONSTANTS MODEL PROPELLER HULL SHIP MODEL SHIP

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Page 1: ITTC UA ver 27

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Scale factor: - - 26.37 - Scale factor: - - 26.37 -

Number of prop: 1 - 1 - Number of blades: 4 - 4 -

Water density Ship: 1.025   ton/m3

1000.0   kg/m3

Propeller diameter: 6.00 m 0.2275 m

Design speed: 17.00 knot 1.703 m/s Coord length 0.75R 2.03 m 0.076981 m

Lpp: 171.41 m 6.500 m Blade thickness 0.75R 0.0791 m 0.003 m

Lwl: 174.99 m 6.636 m Pitch ratio P/D=0.75R: 0.94 - 0.94 -

Los: 179.90 m 6.822 m Pitch ratio P/D=0.7R: 0.94 - 0.94 -

Draft fore: 7.91 m 0.300 m Reynolds number /1E5:   -   - 5.7 -

Draft aft: 7.91 m 0.300 m J value at KT=0:   -   - 0.98 -

Breadth: 29.01 m 1.100 m Surface roughness 3.00E-05 m   -   -

Block Coefficient 0.5702 0.5702 BAR: 0.60 - 0.60 -

Wetted surface incl. rudder: 5284.86   m   7.600   m

Displacement: 22988.40 ton 1223.1 kg

Waterplane Area 3380.92   m   4.862   m   Gravity 9.81 m/s

Surface roughness 1.50E-04 m - -

Roughness allowance: 0.4 - - -

Wetted surface Ship: 5214.86 m2

Wetted surface Rudder: 70 m2

Wetted surface Total: 5284.86 m

 Accuracy of Model Manufactu Model Ship

Longitudinal accuracy 0.001 0 m

Transverse accuracy 0.001 0 m

Vertical accuracy 0.001 0 m

indicates data not required for the calculation but used for completeness

indicates required inputs from the user 

indicates that it should be calculated from the raw experiment data however input by user due to missing raw data

Bias Error indicates that item contributes the total bias limit

CONSTANTS

MODEL

PROPELLERHULL

SHIP MODEL SHIP

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ITTC QM 4.9-03-01-03 9.81

Temp Ro table QM Ro table*9.81 Fit values Error Error^2

0.000000 101.95000 1000.12950 1000.100 0.030 0.001

1.000000 101.95000 1000.12950 1000.148 -0.018 0.000

2.000000 101.96000 1000.22760 1000.180 0.048 0.002

3.000000 101.96000 1000.22760 1000.197 0.030 0.0014.000000 101.96000 1000.22760 1000.200 0.027 0.001

5.000000 101.96000 1000.22760 1000.189 0.039 0.002

6.000000 101.96000 1000.22760 1000.163 0.065 0.004

7.000000 101.95000 1000.12950 1000.123 0.007 0.000

8.000000 101.95000 1000.12950 1000.069 0.060 0.004

9.000000 101.94000 1000.03140 1000.002 0.029 0.001

10.000000 101.93000 999.93330 999.922 0.011 0.000

11.000000 101.92000 999.83520 999.829 0.006 0.000

12.000000 101.91000 999.73710 999.723 0.014 0.000

13.000000 101.90000 999.63900 999.604 0.035 0.001

14.000000 101.88000 999.44280 999.473 -0.031 0.001

15.000000 101.87000 999.34470 999.331 0.014 0.000

16.000000 101.86000 999.24660 999.176 0.071 0.005

17.000000 101.84000 999.05040 999.010 0.041 0.002

18.000000 101.82000 998.85420 998.832 0.022 0.00019.000000 101.80000 998.65800 998.643 0.015 0.000

20.000000 101.78000 998.46180 998.444 0.018 0.000

21.000000 101.76000 998.26560 998.234 0.032 0.001

22.000000 101.74000 998.06940 998.014 0.056 0.003

23.000000 101.71000 997.77510 997.783 -0.008 0.000

24.000000 101.69000 997.57890 997.543 0.036 0.001

25.000000 101.66000 997.28460 997.293 -0.008 0.000

26.000000 101.64000 997.08840 997.033 0.055 0.003

27.000000 101.61000 996.79410 996.764 0.030 0.001

28.000000 101.58000 996.49980 996.487 0.013 0.000

29.000000 101.55000 996.20550 996.201 0.005 0.000

30.000000 101.52000 995.91120 995.906 0.005 0.000

SEE 0.035

2*SEE 0.070

y = 4E-05x3 - 0.0077x2 + 0.0552x + 1000.1

995.50

996.00

996.50

997.00

997.50

998.00

998.50

999.00

999.50

1000.00

1000.50

0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00

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 Overall Submerged Length ,LOS   6.822 m Density 1000 kg/m

Waterline Length, LWL   6.636 m

Wetted Surface Area 7.600 m   Gravity 9.81 m/sn

Run Speed (m/s) Temp Viscosity Fn Fn**4/Cf RT (N) Re CF CT CT/CF Fit Values of CT/CF Error     Error^2

1 0.35 15 1.1394E-06 0.0433791 8.8163E-04 2.25 2.0955E+06 4.0164E-03 4.8335E-03 1.2035 1.207381226 -0.0039 0.00001544

2 0.4 15 1.1394E-06 0.0495761 1.5447E-03 2.88 2.3949E+06 3.9107E-03 4.7368E-03 1.2113 1.212925173 -0.0017 0.000002813 0.45 15 1.1394E-06 0.0557731 2.5324E-03 3.59 2.6942E+06 3.8209E-03 4.6654E-03 1.2210 1.221184065 -0.0002 0.00000003

4 0.5 15 1.1394E-06 0.0619701 3.9399E-03 4.4 2.9936E+06 3.7432E-03 4.6316E-03 1.2373 1.232952985 0.0044 0.00001916

5 0.55 15 1.1394E-06 0.0681671 5.8756E-03 5.29 3.2929E+06 3.6749E-03 4.6020E-03 1.2523 1.249138242 0.0031 0.00000982

6 0.6 15 1.1394E-06 0.0743641 8.4614E-03 6.29 3.5923E+06 3.6142E-03 4.5980E-03 1.2722 1.270759319 0.0014 0.00000204

7 0.65 15 1.1394E-06 0.0805612 1.1833E-02 7.41 3.8917E+06 3.5597E-03 4.6154E-03 1.2966 1.298950634 -0.0024 0.00000564

8 0.7 15 1.1394E-06 0.0867582 1.6140E-02 8.721 4.1910E+06 3.5103E-03 4.6837E-03 1.3343 1.334963171 -0.0007 0.00000047

9 0.75 15 1.1394E-06 0.0929552 2.1546E-02 10.222 4.4904E+06 3.4652E-03 4.7822E-03 1.3801 1.380165988 -0.0001 0.00000001

Mean 1.2676   Sum 0.00005542

STDEV 0.0598

P (S) 0.1195 No of samples

P (M) 0.0398 Xbar 

1+k   1.2000 Sxx

SEE 0.0028 Sy

2SEE 0.0056 Sc

2ScFit intercept 1.2000095

Fit slope 8.3615089

NOTE : ALL EXPERIMENTAL RESULTS, I.E. VM, TEMP AND RT, ARE COMPLETELY MADE UP

FORM FACTOR DETERMINATION

y = 8.3615x + 1.2000

1.0000

1.0500

1.1000

1.1500

1.2000

1.2500

1.3000

1.3500

1.4000

0.0000E+00 5.0000E-03 1.0000E-02 1.5000E-02 2.0000E-02 2.5000E-02

   C   t   /   C   f

Fn**4/Cf

CT/CF Linear (CT/CF)

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Model Ship Model Ship

Length submerged,LOS   6.822 179.896 m Temperature 15 15 degrees

Waterline Length, LWL   6.636 174.991 m Density 1000 1025 kg/m

Wetted Surface Area 7.600 5284.860 m2

Viscosity 1.1394E-06 1.1873E-06 m2/s

Model Scale 26.370

Form Factor 1.2000 Gravity 9.81   m/sn

RT V T CT (Test) Viscosity(Test) CF(Test) CF(T) CT (T) CR(Test)

N m/s degree m/sn

A1   41.713 1.702 16 3.789E-03 1.1099E-06 2.977E-03 2.990E-03 3.806E-03 2.174E-04

A2   41.352 1.702 16 3.757E-03 1.1099E-06 2.977E-03 2.990E-03 3.773E-03 1.846E-04

A3   41.564 1.702 16 3.776E-03 1.1099E-06 2.977E-03 2.990E-03 3.792E-03 2.039E-04

B1   41.365 1.703 15.9 3.753E-03 1.1128E-06 2.978E-03 2.990E-03 3.768E-03 1.801E-04

B2   41.763 1.705 15.9 3.781E-03 1.1128E-06 2.977E-03 2.989E-03 3.795E-03 2.081E-04

B3   41.742 1.705 15.9 3.779E-03 1.1128E-06 2.977E-03 2.989E-03 3.793E-03 2.062E-04

C1   41.744 1.702 16 3.792E-03 1.1099E-06 2.977E-03 2.990E-03 3.808E-03 2.202E-04

C2   42.007 1.705 16 3.803E-03 1.1099E-06 2.976E-03 2.989E-03 3.819E-03 2.318E-04

C3   41.938 1.703 16 3.805E-03 1.1099E-06 2.976E-03 2.990E-03 3.822E-03 2.337E-04

D1   41.482 1.703 14.9 3.764E-03 1.1425E-06 2.991E-03 2.990E-03 3.762E-03 1.744E-04

D2   41.646 1.705 14.9 3.770E-03 1.1425E-06 2.991E-03 2.989E-03 3.768E-03 1.812E-04

D3   41.556 1.703 14.9 3.771E-03 1.1425E-06 2.991E-03 2.990E-03 3.769E-03 1.811E-04

E1   41.577 1.703 16.1 3.773E-03 1.1070E-06 2.975E-03 2.990E-03 3.790E-03 2.026E-04

E2   41.577 1.703 16.1 3.773E-03 1.1070E-06 2.975E-03 2.990E-03 3.790E-03 2.026E-04

E3   41.736 1.703 16.1 3.787E-03 1.1070E-06 2.975E-03 2.990E-03 3.805E-03 2.170E-04

Mean 41.6508 1.7033 15.7800 3.778E-03 Mean 3.791E-03 2.030E-04

STDEV 0.1846 0.0012 0.4601 1.516E-05 STDEV 1.914E-05 1.916E-05

% 0.4432 0.0683 2.9159 0.4014 % 0.5050 9.4402

P (S) 0.3692 0.0023 0.9202 3.033E-05 P (S) 3.829E-05 3.832E-05

% 0.8863 0.1366 5.8317 0.8028 % 1.0101 18.8805

P (M) 0.0953 0.0006 0.2376 7.831E-06 P (M) 9.886E-06 9.895E-06

% 0.2288 0.0353 1.5057 0.2073 % 0.2608 4.8749

MODEL 41.791 1.7033 15.0 2.990E-03 3.791E-03 2.030E-04

SHIP 409688.340 8.7466 15.0 1.479E-03 1.977E-03 2.030E-04

PRECISION

RESISTANCE TESTS

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Model Ship Model Ship

Length submerged,LOS   6.822 179.896 m Temperature 15 degrees

Waterline Length, LWL   6.636 174.991 m Density 1000   kg/m

Length between perp , LPP   6.500 171.405 m Viscosity 1.1394E-06   m /s

Breadth,B 1.100 m

Draught 0.300 m

Block Coefficient 0.5702 Model Speed 1.7033 m/s

Displacement 1223.079 kg Model Resistance 41.791 N

Wetted Surface Area 7.600 5284.860 m2

Model Total Resistance Coef 3.7908E-03

Wetted Surface Coef 2.695

Waterplane area 4.862

Model Scale 26.370

Form Factor 1.2000 Gravity 9.81   m/sn

TEMPERATURE MEASURE 15.0 degrees MODEL FRICTIONAL RES COEF   2.990E-03

Measurement accuracy of thermometer 0.3 degrees PD for model speed -0.0003044

Total Bias Limit 0.3 degrees 2.000 % Bias Error due to model speed -1.087E-06

FESH WATER DENSITY 1000.0000 kg/m3

PD for model length -7.813E-05

PD for Temp (T) -0.1488 Bias Error due to model length -1.563E-07

Bias Eror due to temp measurement -0.0446  kg/m3

PD for kinematic viscosity 4.5505E+02

Bias Error due to temp-density table look 0.0700 kg/m3

Bias Error due to viscosity 4.1139E-06

Density from tables 999.3447 kg/m Total Bias Limit 4.2579E-06 0.142  %

Bias Error due to ITTC1978 Method 0.6553  kg/m3

MODEL RESISTANCE   41.791 N

Total Bias Limit 0.6605 kg/m 0.066 %  Accuracy of weights for resistance calibratio   0.00500 %

FRESH WATER VISCOSITY   1.1394E-06 m2/s Bias Error due resistance calibration weights 0.00209   N

PD for Temp (T) -3.0100E-08 Bias Error due to transducer cal ibration 0.1706   N

Bias Error due to temperature -9.0300E-09  m2/s   Transducer misalignment angle 0.2500 degrees

Viscosity table 1.1390E-06 m2/s Bias error due to transducer misalignment 0.0004   N

Bias Error due to ITTC formula calculation -4.3500E-10  m /s   Bow trim 0.0042 mTotal Bias Limit 9.0405E-09 m /s 0.793 %   Stern trim 0.0083 m

MODEL LENGTH WATERLINE   6.636 m Tow post length 0.5000 m

Model length accuracy 0.001 m Tow post misalignment angle 0.7197 degrees

Total Bias Error 0.002 m 0.030 % Bias error due to tow post misalignment 0.0033   N

MODEL LENGTH OVERALL SUBMERGE   6.822 m AD Coversion error 1 bit

Model length accuracy 0.001 m ADC Voltage range 20 volts

Total Bias Limit 0.002 m 0.029 %   ADC Range 12 bits

WETTED SURFACE AREA 7.6000 m2

 AD Conversion eror 0.0049 volts

 Accuracy in length 0.001 m Bias Error due to AD Conversion error -0.0614  N

 Accuracy in breadth 0.001 m Total Bias Limit 0.1814 N 0.434 %

 Accuracy in depth 0.001 m TOTAL RESISTANCE COEF 3.7908E-03

Displacement to extended dimensions 1229.765 m3

PD for wetted surface -4.988E-04

Wetted surface are at extended dimensions 7.6219 m2

Bias Error due to wetted surface -3.620E-06

Wetted surface change due to dimension 0.0219  m

2

PD for model speed -4.451E-03Displacement increase due to dimension 6.686 kg Bias Error due to speed -1.589E-05

Wetted surface area reduction due to draft 0.0183 m2

PD for Resistance measurement 9.071E-05

Bias error due to dimension error 0.0037  m2

Bias Error due to resistance measurement 1.646E-05

Displacement error from weights 2.295 kg PD for density -3.791E-06

Bias error due to weights 0.0063  m2

Bias Error due to density -2.504E-06

Total Bias Limit 0.0073 m 0.095 % Total Bias Limit 2.3296E-05 0.615 %

MODEL SPEED 1.7033 m/s FORM FACTOR 0.2000

Disk Diameter 0.3810 m Total Bias Limit 0.020 10.000 %

Count 1138 pulse RESIDUARY RESISTANCE COEFFICIENT   2.0298E-04

Time base 0.1000 s PD for Total res coef 1

No Count per rev 8000 pulse Bias Error due to total res coef 2.3296E-05

Encoder error 1.0 pulse PD for form factor -2.990E-03

DA Conversion error 1.5 pulse Bias Error due to form factor -5.980E-05

 AD Conversion error 1.5 pulse PD for frictional res coef -1.2000

Curve fit error 0.2500 pulse Bias Error due to frictional res coef    -5.1095E-06

Pulse count bias error 2.3585 pulse Total Bias Limit 6.4377E-05 31.715 %

PD for pulse count 0.0015

Bias Error due to pulse count 0.0035  m/s

Time base bias errror 1.025E-05 s

PD for time base -17.0327

Bias Error due to time base -0.0002  m/s

Disk diameter error 0.000115 m

PD for Disk Diameter 4.4705

Bias Error due to disk diameter 0.0005  m/s

Total Bias Limit 0.00357 m/s 0.210 %

BIAS

RESISTANCE TESTS

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Item Number Nom Weight(kg) Total Weight Accuracy (kg) Error Error^2

Ship Model 1.00 260.00 260.00 0.500 0.500 0.250

Ballast 3.00 200.00 600.00 1.000 1.732 3.000

2.00 150.00 300.00 1.000 1.414 2.000

6.00 10.00 60.00 0.050 0.122 0.015

3.00 1.00 3.00 0.005 0.009 0.000

Total 1223.00 kg Bias 2.295 kg

Output (V) Weight (kg) Force (N) Fit Values Error  

1 4.930 0.000 0.000 0.061617665 -0.061617665

2 4.556 0.500 4.905 4.767138471 0.137861529

3 4.157 1.000 9.810 9.787199437 0.0228005634 3.767 1.500 14.715 14.69402595 0.020974054

5 3.373 2.000 19.620 19.65117888 -0.03117888

6 2.972 2.500 24.525 24.69640306 -0.171403059

7 2.595 3.000 29.430 29.43966868 -0.009668684

8 2.200 3.500 34.335 34.40940322 -0.074403225

9 1.820 4.000 39.240 39.19041367 0.049586331

10 1.430 4.500 44.145 44.09724018 0.047759823

11 1.040 5.000 49.050 49.00406669 0.045933314

12 0.644 5.500 53.955 53.98638283 -0.031382833

13 0.262 6.000 58.860 58.79255649 0.06744351

14 -0.121 6.500 63.765 63.61131175 0.153688247

15 -0.530 7.000 68.670 68.75718878 -0.087188784

16 -0.919 7.500 73.575 73.65143369 -0.076433686

17 -1.303 8.000 78.480 78.48277056 -0.002770556

Mean 0.0000

STDEV 0.0826

SEE 0.0853

2SEE 0.1706

Fit intercept 62.08893738

Fit Slope -12.58160643

Resistance Transducer Calibration

Error in Displacement

y = -12.582x + 62.089R² = 1

0.000

10.000

20.000

30.000

40.000

50.000

60.000

70.000

80.000

90.000

-2.000 0.000 2.000 4.000 6.000

   F  o  r  c  e   (   N   )

volts

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Model Ship Model Ship

Model Scale 26.370 Temperature 15.8000 degrees

Length submerged,LOS   6.822 m Density 1000   kg/m

Waterline Length, LWL   6.636 174.991 m RESISTANCE TEST

Wetted Surface Area 7.600   m2

Model Speed 1.7033 8.747 m/s

Model Resistance 41.791 NPropeller Diameter 0.2275 m Model Total Res Coef 3.7908E-03

Model Frictional Res Coef 2.9898E-03 1.4785E-03

Roughness Drag coef 3.579E-04 Model Residuary Res Coef 2.0298E-04

Ship Roughness 1.500E-04 m FORM FACTOR TESTS

Form Factor 1.2000

Vm n Temp T Q FD Rc KT KQ KQT JT TDF WTM EtaRR

A1   1.703 8.329 15.8 35.390 1.231 12.593 41.648 0.19034 0.02911 0.02989 0.6048 0.179 0.327 1.027

A2   1.706 8.321 15.8 35.333 1.231 12.627 41.636 0.19040 0.02915 0.02990 0.6046 0.179 0.329 1.026

A3   1.705 8.328 15.8 35.525 1.236 12.616 41.640 0.19111 0.02922 0.03000 0.6029 0.183 0.33 1.027

B1   1.705 8.349 15.5 35.536 1.230 12.660 41.694 0.19021 0.02893 0.02989 0.6049 0.183 0.326 1.033

B2   1.706 8.346 15.5 35.430 1.229 12.672 41.690 0.18978 0.02893 0.02985 0.6055 0.181 0.326 1.032

B3   1.705 8.339 15.5 35.493 1.228 12.660 41.694 0.19044 0.02897 0.02990 0.6048 0.182 0.327 1.032

C1   1.699 8.365 16.1 36.025 1.240 12.503 41.611 0.19209 0.02906 0.03002 0.6025 0.192 0.325 1.033C2   1.698 8.329 16.1 35.560 1.227 12.491 41.615 0.19125 0.02901 0.03000 0.6030 0.181 0.327 1.034

C3   1.701 8.330 16.1 35.634 1.228 12.526 41.603 0.19160 0.02903 0.03004 0.6022 0.184 0.329 1.035

D1   1.703 8.400 15.9 36.135 1.262 12.578 41.630 0.19107 0.02934 0.02998 0.6032 0.196 0.323 1.022

D2   1.701 8.348 15.9 36.354 1.259 12.555 41.638 0.19463 0.02961 0.03012 0.6009 0.200 0.329 1.017

D3   1.702 8.325 15.9 35.492 1.239 12.566 41.634 0.19107 0.02933 0.03000 0.6029 0.181 0.329 1.023

E1   1.704 8.349 15.7 35.548 1.231 12.619 41.662 0.19027 0.02896 0.02980 0.6064 0.183 0.324 1.029

E2   1.704 8.330 15.7 35.504 1.230 12.619 41.662 0.19091 0.02907 0.02983 0.6060 0.182 0.326 1.026

E3   1.704 8.347 15.7 35.899 1.235 12.619 41.662 0.19225 0.02906 0.02985 0.6056 0.191 0.325 1.027

Mean 1.703 8.342 15.80 35.657 1.236 12.594 41.648 0.19116 0.02912 0.02994 0.6040 0.1851 0.3268 1.0282

STDEV 0.0064 0.0021 0.0051

% 3.48 0.64 0.49

P (S) 0.0129 0.0042 0.0101

% 6.96 1.27 0.99

P (M) 0.0033 0.0011 0.0026

% 1.80 0.33 0.25

PROPULSION TESTS

Self Propulsion tests

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Model Ship Model Ship

Length submerged,LOS   6.822 179.896 m Temperature 15.8 15 degrees

Waterline Length, LWL   6.636 174.991 m Density 1000   kg/m

Length between perp , LPP   6.500 171.405 m Density Bias 0.739   kg/m

Breadth,B 1.100 m Viscosity 1.1157E-06 1.1873E-06 m2/s

Draught 0.300 m Model Speed 1.70326667 8.747 m/s

Block Coefficient 0.570 Model Resistance 41.7906447 N

Displacement 1223.079 kg Total resistance measurement bias error 0.18140801 N

Wetted Surface Area 7.600 5284.860 m2

Total resistance measurement precision error 0.36915982 N

Wetted Surface Coef 2.695 Total resistance measurement uncertainty 0.41132449 N

Waterplane area 4.862 Model Total resistance Coef 3.7908E-03

Model Scale 26.370 Model Total resistance Coef Bias 2.3296E-05

Propeller Diameter 0.2275 m Model total resistance coef precision error 3.8289E-05

Propeller rate of revolution 8.342 rps Model total resistance coef uncertainty 4.4819E-05

External tow force 12.594 N Model Frictional Res Coef at res test 2.990E-03 1.479E-03

Model Thrust 35.657 N Model Frictional Res Coef Biasat res test 4.2579E-06

Model Torque 1.2358 Nm Model Residuary Res Coef 0.00020298

Model Residuary Res Coef Bias 6.4377E-05

Model Residuary Res Coef Precision error 3.8324E-05

Model Residuary Res Coef uncertainty 7.4921E-05

Form Factor 1.20000946 Ship Roughness 1.5000E-04 m

Form Factor Bias 0.02 Gravity 9.81   m/sn

FRESH WATER TEMPERATURE 15.8 degrees MODEL LENGTH WATERLINE   6.636 m

Measurement accuracy of thermometer 0.3 degrees Model length accuracy 0.001 m

Total Bias Limit 0.3 degrees 1.899 % Total Bias Error 0.002 m 0.030 %

SEA WATER TEMPERATURE 15.0 degrees SHIP LENGTH WATERLINE   174.991 m

Measurement Accuracy of Thermometer 0.0 degrees Ship length accuracy 0.000 m

Total Bias Limit 0.0 degrees 0.000 % Total Bias Error 0.000 m 0.000 %

FESH WATER DENSITY BIAS LIMIT (PRO 1000.0000 kg/m3

MODEL LENGTH OVERALL SUBMERGED   6.822 mPD for temp (T) -0.1582 Model length accuracy 0.001 m

Bias Eror due to temp measurement -0.0474  kg/m Total Bias Error 0.002 m 0.029 %

Bias Error due to temp-density table look 0.0700 kg/m3

SHIP LENGTH OVERALL SUBMERGED   179.896 m

Density from tables 999.2662 kg/m   Ship length accuracy 0.000 m

Bias Error due to ITTC1978 Method 0.7338  kg/m Total Bias Error 0.000 m 0.000 %

Total Bias Limit 0.7387 kg/m 0.074 % WETTED SURFACE AREA 7.6000 m

FRESH WATER VISCOSITY (PROP)   1.1157E-06 m2/s   Accuracy in length 0.001 m

PD for Temp (T) -2.9164E-08 Accuracy in breadth 0.001 m

Bias Error due to temperature -8.7492E-09  m2/s   Accuracy in depth 0.001 m

Viscosity table 1.1154E-06 m2/s   Displacement to extended dimensions 1229.765 m

3

Bias Error due to ITTC formula calculation -3.2940E-10 m2/s   Wetted surface are at extended dimensions 7.6219 m

2

Total Bias Limit 8.7554E-09 m /s 0.785 % Wetted surface change due to dimension 0.0219  m

SEA WATER VISCOSITY BIAS LIMIT   1.1873E-06   m2/s   Displacement increase due to dimension 6.686 kg

PD for Temp (T) -3.2304E-08 Wetted surface area reduction due to draft 0.0183 m2

Bias Error due to temperature 0.0000E+00  m2/s Bias error due to dimension error 0.0037  m

2

Viscosity Table 1.1843E-06 m2/s   Displacement error from weights 2.295 kg

Bias Error due to ITTC formula calculation -3.0140E-09 m2/s Bias error due to weights 0.0063  m

2

Total Bias Limit 3.0140E-09 m /s 0.254 % Total Bias Limit 0.0073 m 0.095 %

MODEL SPEED 1.7033 m/s PROPELLER DIAMETER   0.2275

Disk diameter 0.3810 m Accuracy of diameter 0.0001 m

Count 1138 pulse Total Bias Limit 0.0001 m 0.044 %

Time base 0.1000 s MODEL FRICTIONAL RES COEF   2.979E-03

No of count per rev 8000 pulse PD for model speed -0.00030494

Encoder error 1.00 pulse Bias Error due to model speed -1.0887E-06

DA Conversion error 1.50 pulse PD for model Length -7.8269E-05

 AD Conversion error 1.50 pulse Bias Error due to model length -1.5654E-07

Curve fit error 0.25 pulse PD for kinematic viscosity 4.6552E+02

Pulse count bias error 2.3585 pulse Bias Error due to viscosity 4.0758E-06

PD for pulse count 0.0015 Total Bias Limit 4.2216E-06 0.142 %

Bias Error due to pulse count 0.0035  m/s SHIP FRICTIONAL RES COEF   1.479E-03

Time base calibration errror 1.025E-05 s PD for ship speed -2.0719E-05

PF for time base -17.0327 Bias Error due to ship speed 0

Bias Error due to time base -0.0002  m/s PD for ship Length -1.0356E-06

Disk diameter bias error 0.0001 m Bias Error due to ship length 0

PD for Disk Diameter 4.4705 PD for kinematic viscosity 1.5263E+02

Bias Error due to disk diameter 0.0005  m/s Bias Error due to viscosity 4.6003E-07

Total Bias Limit 0.00357 m/s 0.210 % Total Bias Limit 4.6003E-07 0.031 %

SHIP SPEED 8.747 m/s ROUGHNESS ALLOWANCE 3.579E-04

Ship speed accuracy 0.000E+00 m/s Roughnes 1.500E-04 m

Total Bias Error 0.000E+00 m/s 0.000 %   Roughness accuracy 0.000E+00 m

PROPELLER RATE OF REVOLUTION 8.34233333 rps   PD for roughness 6.563E+00

Count 500.54 pulse Bias Error due to roughness   0.000E+00Time base 0.100 seconds PD for ship length 1.493E-04

Number of pulses at one revolution at prop 600 pulse Bias Error due to ship length   0.000E+00

Encoder pulse count error 1 pulse Total Bias Limit 0.000E+00 0.000 %

DA Conversion error 1.5 pulse CORRECTED RESISTANCE 41.647

 AD Conversion error 1.5 pulse F 9.966E-01

Pulse count bias error 2.345 pulse PD F for form factor -1.536E-04

PD for pulse count   0.0167 Bias Error of F due to form factor -3.071E-06

Bias Error due to pulse count 0.0391  rps PD F1 for cor frictional res coef 3.166E+02

Time base bias error 1.03E-05 rps Bias Error of Fdue to cor frictional res coef 0.00133639

PD for time base -83.423 PD F1 for frictional res coef 315.469194

Bias Error due to time base -0.0009  m/s Bias Error of Fdue to frictional res coef 0.00134323

Total Bias Limit 0.0391 rps 0.469 %   PD F for residuary res coef 9.078E-01

EXTERNAL TOW FORCE 12.594 N   Bias Error of F due to residuary res coef 6.8016E-05

Bias Error due to measurement 0.1814   N F Bias 0.001896

PD for Density 0.0159 PD for F 4.1791E+01Bias Error of curve fit due to density 0.0117 Bias Error due to F 7.9235E-02

PD for Wetted surface 2.0927 PD for Resistance 4.099E-01

Bias Error of curve fit due to wetted surface 0.0152 Bias Error due to resistance measurement 1.686E-01

PROPULSION TESTS

BIAS

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Item Number Nom Weight(kg) Total Weight Accuracy (kg) Error Error^2

Ship Model 1.00 310.00 310.00 0.500 0.500 0.250

Ballast 2.00 200.00 400.00 1.000 1.414 2.000

3.00 150.00 450.00 1.000 1.732 3.000

6.00 10.00 60.00 0.050 0.122 0.015

3.00 1.00 3.00 0.005 0.009 0.000

Total 1223.00 kg Bias 2.295 kg

Weight(kg) Moment Arm (m) Accuracy of weig Accuracy ar Error 2̂

0 0.1 0.005 0.0002 0

1 0.1 0.005 0.0002 4.0025E-08

2 0.1 0.005 0.0002 1.601E-073 0.1 0.005 0.0002 3.60225E-07

4 0.1 0.005 0.0002 6.404E-07

5 0.1 0.005 0.0002 1.00063E-06

6 0.1 0.005 0.0002 1.4409E-06

Bias 0.001908475 kgm

0.018722135 Nm

Output (V) Weight (kg) Force (N) Fit Values Error  

1 0.001 0 0 -0.099621044 0.099621044

2 0.81 1 9.81 9.802454037 0.007545963

3 1.621 2 19.62 19.72900891 -0.109008909

4 2.421 3 29.43 29.52092493 -0.090924935

5 3.21 4 39.24 39.17820212 0.061797885

6 4.021 5 49.05 49.10475699 -0.054756986

7 4.811 6 58.86 58.77427406 0.085725938

Mean 0.0000

STDEV 0.0859

SEE 0.0941

2SEE 0.1883

Fit intercept -0.111860939

Fit slope 12.23989503

Output (V) Weight (kg) Moment arm Moment (Nm) Fit Values Error 

1 0.003 0 0.1 0 0.000242898 -0.0002429

2 -1.01 1 0.1 0.981 0.980102525 0.0008975

3 -2.025 2 0.1 1.962 1.961896721 0.0001033

4 -3.04 3 0.1 2.943 2.943690918 -0.0006909

5 -4.053 4 0.1 3.924 3.923550545 0.0004495

6 -5.07 5 0.1 4.905 4.907279311 -0.0022793

7 -6.08 6 0.1 5.886 5.884237083 0.0017629

Mean 0.0000

STDEV 0.0013

SEE 0.0014

2SEE 0.0028

Fit intercept 0.0031448

Fit Slope -0.9672849

Error in Displacement

Torque Calibration Weights

Torque Transducer Calibration

Thrust Transducer Calibration

y = 12.23990x - 0.11186

-10

0

10

20

30

40

50

60

70

0 1 2 3 4 5 6

y = -0.9673x + 0.0031

0

1

2

3

4

5

6

7

-7 -6 -5 -4 -3 -2 -1 0 1

kg

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Summary of bias errors and uncertainties

Term Magnitude Percentage values

Model geometry (Lwl) 6.636

BL 0.002 0.03

Model geometry (Los) 6.822

BL 0.002   0.03 

Ship geometry (Lwl) 174.99132

BL 0   0.00 

Ship geometry (Los) 179.89614

BL 0   0.00 

Model geometry (WS)   7.600

BS1 3.666E-03 25.51

BS2 6.264E-03 74.49

BS 7.258E-03 0.10

Propeller geometry (D) 0.227531286

BD 0.0001   0.04 

Model speed   1.703

n-Pulse count 1138.405

Bn1-pulse count-encoder 1.000 17.98

Bn2-pulse count- DAC 1.500 40.45

Bn3-pulse count -ADC 1.500 40.45

Bn4-pulse count-curve fit 0.250 1.12

Bn-pulse count bias error  2.358   0.21 

D-Wheel diameter 0.38100

BD-wheel diameter bias error 0.00012   0.03 

Dt-Time base 1.000E-01

BDt-Time base bias error 1.025E-05   0.01 

qVnBn 0.00353 97.69

qVDBD 0.00051 2.07

qVDtBDt -0.00017 0.24

BV 0.00357   0.21 

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Ship speed 8.74656871

BVS 0   0.00 

Propeller rate of revolution 8.342

n-Pulse count 500.540

Bn1-pulse count-encoder 1.000 17.98

Bn2-pulse count- DAC 1.500 40.45

Bn3-pulse count -ADC 1.500 40.45

Bn-pulse count 2.345   0.47 

Dt-Time base 1.000E-01

BDt-Time base error 1.025E-05   0.01 

qUnBn 0.03909 99.95

qUDtBDt -0.00086 0.05

BU 0.03910   0.47 

FW density (Propulson Test) 1000.000

BD1-Temp Measurement -0.0474 0.41

BD2-Table look up 0.0700 0.90BD3-ITTC 1978 0.7338 98.69

BD 0.7387   0.07 

FW viscosity (Propulsion Te 1.116E-06

Bv1-Temp Measurement -8.749E-09 99.86

Bv2-ITTC formula -3.294E-10 0.14

Bv 8.755E-09   0.78 

SW viscosity (Propulsion Te 1.187E-06

Bv1-Temp Measurement 0.000E+00 0.00

Bv2-ITTC formula -3.014E-09 100.00

Bv 3.014E-09   0.25 

Model fric res coef (Cfc) 1.479E-03

Bc1-Model speed -1.089E-06 6.65

Bc2-Model length -1.565E-07 0.14

Bc3-model viscosity 4.076E-06 93.21

Bc 4.222E-06   0.29 

Ship fric res coef (Cfs) 1.479E-03

Bc1-ship speed 0.000E+00 0.00

Bc2-ship length 0.000E+00 0.00

Bc3-ship viscosity 4.600E-07 100.00

Bc 4.600E-07   0.03 

Roughness Allowance] 3.579E-04

BDc1-Roughness 0.000E+00BDc2-ship length 0.000E+00

BDc 0.000E+00   0.00 

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External Tow Force (FD)   12.594

BFd1-Force measurement 0.181   80.50 

BFd2-Density 0.012 1.73

BFd2-Wetted surface 0.015 2.89

BFd2-speed 0.067 55.78

BFd2-model fric res coef 0.056 39.13

BFd2-ship fric res coef 0.006 0.46

BFd2-roughness 0.000 0.00

BFd2-curve fit 0.089   19.50 

BFd 0.202   1.61 

Corrected Resistance (Rc)   41.647

F 9.966E-01

qBFBk-form factor -3.071E-06 0.00

qBFBCfc-Cor Frictional res co 1.336E-03 49.68

qBFBCf-Frictional res coef 0.00134323 50.19

qBFBCr-residuary res coef 6.802E-05 0.13

BF 1.896E-03   0.19 

BRt 1.686E-01

qRcBF 0.07924 18.09

qRcBRt 0.16861 81.91

BRc 0.18630   0.45 

Thrust Measurement   35.6572

BT1-Calibration Weights 0.0018 0.01

BT2-Calibration 0.1883 97.53

BT3-AD covertion 0.0024 0.02

BT 0.1906   0.53 

Torque Measurement   1.2358

BQ1-Calibration Weights 0.0025 31.23BQ2-Calibration 0.0028 40.29

BQ3-AD covertion -0.0024 28.49

BQ 0.0044   0.36 

Thrust Coefficient   0.1912

qKtBT-Thrust measurement 0.0010 23.80

qKtBDen-Density -0.0001 0.45

qKtBn-prop rate of rev -0.0018 73.17

qKtBD-Propeller diameter -0.0003 2.57

BKt 0.0021   1.10 

Torque Coefficient   0.0291

qKtBT-Thrust measurement 0.0001 12.09qKtBDen-Density 0.0000 0.51

qKtBn-prop rate of rev -0.0003 82.84

qKtBD-Propeller diameter -0.0001 4.55

BKt 0.0003   1.03 

JT 0.6028

qJTBKT -0.0088 94.76

qJTBOpen Water 0.0020 5.09

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qJTBCurve 0.0004 0.15

BJT 0.0091   1.50 

KQT 0.0300

qKQTBOpenWater 0.0003 5.90

qKQTBJT -0.0010 94.09

qKQTBCurve 0.0000 0.00

BKQT 0.0011   3.59 

Wake Fraction 0.3283

qKtBT-Thrust measurement -0.0101 89.47

qKtBDen-Density 0.0003 0.08

qKtBn-prop rate of rev -0.0031 8.71

qKtBD-Propeller diameter 0.0014 1.74

BwT 0.0107   3.25 

Relative Rotative Efficiency 1.0305

qErBKQT 0.0370 92.40

qErBKQ -0.0106 7.60

Ber 0.0385   3.74 

Thrust Deduction 0.1852

qtBT-Thrust measurement 0.0044 24.19

qtBFD 0.0057 41.00

qtBRC -0.0052 34.81

Bt 0.0089   4.78 

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TOTAL UNCERTAINTIES   %

Bt(M) 0.00886 87.6196

Pt(M) 0.00333 12.3804

Ut(M) 0.00946 5.1081

Bt(S) 0.00886 32.0569

Pt(S) 0.01289 67.9431

Ut(S) 0.01564 8.4449

BwT(M) 0.01066 98.9986

PwT(M) 0.00107 1.0014

UwT(M) 0.01072 3.2652

BwT(S) 0.01066 86.8259

PwT(S) 0.00415 13.1741

UwT(S) 0.01145 3.4865

BEr(M) 0.03850 99.5390

PEr(M) 0.00262 0.4610

UEr(M) 0.03859 3.7443

BEr(S) 0.03850 93.5036

PEr(S) 0.01015 6.4964

UEr(S) 0.03981 3.8633

73%

27%

Bt(M)

Pt(M)

41%

59%

Bt(S)

Pt(S)

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91%

9%

BwT(M)

PwT(M)

72%

28%

BwT(S)

PwT(S)

94%

6%

BEr(M)

PEr(M)

79%

21%

BEr(S)

PEr(S)

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J 0.55

Vm n Temp T Q KT KQ

A1   0.216077 0.033079

A2   0.216147 0.033089

A3   0.216147 0.032959B1   0.216578 0.033109

B2   0.216508 0.033149

B3   0.216337 0.032979

C1   0.216167 0.033109

C2   0.216097 0.033069

C3   0.216528 0.032989

D1   0.216227 0.033069

D2   0.216297 0.033079

D3   0.216317 0.032949

E1   0.216598 0.033149

E2   0.216097 0.033079

E3   0.216187 0.032939

Mean 1.751991 14.00 15 113.6191 3.950698 0.2163 0.03305

STDEV 0.0002 0.0001

% 0.0852 0.2159

P (S) 0.0004 0.0001

% 0.1703 0.4317

P (M) 0.0001 0.0000

% 0.0440 0.1115

J 0.6

Vm n Temp T Q KT KQ

A1   0.192201 0.030183

A2   0.192585 0.030264

A3   0.192393 0.030093

B1   0.192646 0.030244

B2   0.1921 0.030173

B3   0.192242 0.030073C1   0.192333 0.030193

C2   0.192545 0.030244

C3   0.192626 0.030103

D1   0.192393 0.030193

D2   0.192333 0.030163

D3   0.192161 0.030063

E1   0.192777 0.030244

E2   0.192646 0.030244

E3   0.192181 0.030063

Mean 1.911263 14.00 15 101.0765 3.606023 0.1924 0.03017

STDEV 0.0002 0.0001

% 0.1108 0.2416

P (S) 0.0004 0.0001

% 0.2215 0.4832

P (M) 0.0001 0.0000% 0.0572 0.1248

OPEN WATER PROPELLER PRECISION TESTS FOR J=0.55

OPEN WATER PROPELLER PRECISION TESTS FOR J=0.60

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J 0.65

Vm n Temp T Q KT KQ

A1   0.168878 0.027353

A2   0.168868 0.027363

A3   0.168938 0.027182

B1   0.168748 0.027303B2   0.168527 0.027293

B3   0.168928 0.027192

C1   0.168898 0.027363

C2   0.168618 0.027303

C3   0.168878 0.027192

D1   0.168638 0.027353

D2   0.168608 0.027293

D3   0.168578 0.027222

E1   0.168517 0.027293

E2   0.168537 0.027303

E3   0.168968 0.027182

Mean 2.070535 14.00 15 88.64281 3.260584 0.1687 0.02728

STDEV 0.0002 0.0001

% 0.1016 0.2483

P (S) 0.0003 0.0001% 0.2032 0.4965

P (M) 0.0001 0.0000

% 0.0677 0.1282

J Vm n Temp T Q KT KQ

0.55 1.75 14.00 15.00 113.62 3.95 0.2163 0.03305

0.6 1.911263 14 15 101.0765 3.606023 0.1924 0.03017

0.65 2.070535 14 15 88.64281 3.260584 0.1687 0.02728

OPEN WATER TESTS FOR VARYING J

OPEN WATER PROPELLER PRECISION TESTS FOR J=0.65

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JT KT KQ Estimated Estimated Error Kt Error Kq

0.55 0.216287 0.033053 0.216253 0.033054 -3.45607E-05 1.065E-06

0.6 0.192411 0.030169 0.19248 0.030167 6.91215E-05 -2.13E-060.65 0.168742 0.027279 0.168707 0.02728 -3.45607E-05 1.065E-06

Mean -5.55112E-17 1.15648E-18

SEE 8.46562E-05 2.60871E-06

2SEE 0.000169312 5.21741E-06

Kt Kq

slope -0.475452575 -0.057737675

intercept 0.477751514 0.064809883

Kt JT Estimated Error Error^2

0.216287 0.55 0.549927 7.27E-05 5.28E-09

0.192411 0.6 0.600145 -0.00015 2.11E-08

0.168742 0.65 0.649927 7.27E-05 5.28E-09

Mean 7.4E-17

SEE 0.000178 Intercept 1.004832699

2SEE 0.000356 Slope -2.103245859

JT KT KQ power kt kq

0.55 0.216287 0.033053 0 0.4924 0.06407

0.6 0.192411 0.030169 1 -0.524 -0.05530.65 0.168742 0.027279 2 0.04 -0.002

OPEN WATER PROPELLER JT-KT, JT-KQ REGRESSION COEFFICIENTS

LINEAR REGRESSION OF JT-KT AND JT-KQ

LINEAR REGRESSION OF KT-JT

y = -0.4755x + 0.4778

y = -0.0577x + 0.0648

0

0.05

0.1

0.15

0.2

0.25

0.5 0.55 0.6 0.65 0.7

   K   T ,

   K   Q 

JTKt Kq Linear (Kt) Linear (Kq)

y = 0.041473x2 - 0.525220x + 0.492613

y = -0.001278x2 - 0.056204x + 0.064352

0

0.05

0.1

0.15

0.2

0.25

0.54 0.56 0.58 0.6 0.62 0.64 0.66

   K   t ,   K  q

J

Kt Kq Poly. (Kt) Poly. (Kq)

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JT KT power coef  

0.55 0.216287 0 1.019

0.6 0.192411 1 -2.2518

0.65 0.168742 2 0.3859

OPEN WATER PROPELLER KT-JT REGRESSION COEFFICIENTS

y = 0.3859x2 - 2.2518x + 1.019

0.54

0.56

0.58

0.6

0.62

0.64

0.66

0.15 0.17 0.19 0.21 0.23

   J

Kt

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Model Model

Model Speed 1.9197 m/s Temperature 15 degreesJ 0.602638

KT 0.191165

KQ 0.030744

Propeller rate of revolution 14.00 rps   Density 1000 kg/m3

Propeller Thrust 100.4218 N Propeller Diameter 0.2275 m

Propeller Torque 3.6747 Nm Gravity 9.8100 m/sn

FRESH WATER TEMPERATURE 15.0 degrees PROPELLER DIAMETER   0.2275

Measurement accuracy of thermometer 0.3 degrees Accuracy of diameter 0.0001 m

Total Bias Limit 0.3 degrees 2.000 % Total Bias Limit 0.0001 m 0.044 %

FESH WATER DENSITY BIAS LIMIT 1000.0000 kg/m3

CARRIAGE SPEED 1.9197 m/s

PD for temperature -0.1488 Disk Diameter 0.3810 m

Bias Eror due to temp measurement -0.0446  kg/m3

Count 1283.0 pulse

Bias Error due to temp-density table look 0.0700 kg/m   Time base 0.1000 sDensity from tables 999.3447 kg/m

3No Count per rev 8000 pulse

Bias Error due to ITTC1978 method 0.6553 kg/m   Encoder error 1.0 pulse

Total Bias Limit 0.6605 kg/m 0.066 %   DA Conversion error 1.5 pulse

PROPELLER RATE OF REVOLUTION 14 rps   AD Conversion error 1.5 pulse

Count 840.0000 pulse Curve fit error 0.2500 pulse

Time base 0.1000 seconds Pulse count bias error 2.3585 pulse

Number of pulses at one revolution at prop shaft 600.0000 pulse PD for pulse count 0.0015

Encoder pulse count error 1.0 pulse Bias Error due to pulse count 0.0035  m/s

DA conversion error 1.5 pulse Time base bias error 1.025E-05 s

 AD conversion error 1.5 pulse PD for time base -19.1967

Pulse Count bias Error 2.3452 pulse Bias Error due to time base -0.0002  m/s

PD for pulse count 0.0167 Disk diameter error 0.000115 m

Bias Error due to pulse count 0.0391   rps PD for disk diameter 5.0385

Time base bias error 1.03E-05 seconds Bias Error due to disk diameter 0.0006  m/s

PD for time base -140.0000 Total Bias Limit 0.00358 m/s 0.187 %

Bias Error due to time base -0.0014   rps TORQUE MEASUREMENT (Q) 3.6747 Nm

Total Bias Limit 0.0391 rps 0.279 %  Accuracy of weights for resistance calibrati   0.00500 %

ADVANCE COEFFICIENT (JT)   0.6026  Accuracy of moment arm   0.00020 m

PD for Speed (V)   0.3139 Moment arm   0.12500 m

Bias Error due to speed (V) 0.0011   Torque cal ibration weight bias error 0.0015 N

PD for prop rate of rev (n)   -0.0430 Bias Error due to calibration weights 0.0002

Bias Error due to pro rate of rev (n) -0.0017   Torque calibration moment arm bias error 0.0002 m

PD for prop diameter (D)   -2.6486 Bias Error due to moment arm 0.005880

Bias Error due to prop diameter (m) -0.0003 Bias Error due to torque calibration weights 0.0059   Nm

Total Bias Limit 0.00204 0.339 % Bias Error due to torque calibration 0.0098   Nm

THRUST MEASUREMENT (T) 100.4218 N   AD Conversion Error 1.0000 bit

 Accuracy of weights for resistance calibration   0.00500 % AD Conversion Range 10.0000 volts

Bias Error due to thrust calibration weights 0.0050   N AD Conversion Accuracy 12 bit

Bias Error due to transducer calibration 0.3149   N AD Conversion Error 0.0024 volts AD Conversion Error 1.0000 bit Bias Error due to AD conversion 0.0072   Nm

 AD Conversion Range 10.0000 volts Total Bias Limit 0.0135 Nm 0.368 %

 AD Conversion Accuracy 12 bit TORQUE COEFFICIENT (KQ) 0.0307441

 AD Conversion Error 0.0024 volts PD for torque measurement (Q) 0.0083664

Bias Error due to AD Conversion Error 0.1910   N Bias Error due to torque measurement (Q) 0.0001132

Total Bias Limit 0.3683 N 0.367 %   PD for density (rho) -0.0000307

THRUST COEFFICIENT (KT) 0.191165 Bias Error due to density (rho) -0.0000203

PD for thrust (T) 0.001904 PD for prop rate of rot (n) -0.0043920

Bias Error due to thrust measurement (T) 0.000701 Bias Error due to prop rate of rev (n) -0.0001718

PD for density (rho) -0.000191 PD for prop diameter (D) -0.6756021

Bias Error due to density -0.000126 Bias Error due to prop diameter (D) -0.0000676

PD for prop rate of rev (n) -0.027309 Total Bias Limit 0.0002175 0.707 %

Bias Error due to n -0.001068

PD for prop diameter (D) -3.360673

Bias Error due to D -0.000336Total Bias Limit 0.001327 0.694 %

OPEN WATER PROPELLER TESTS

BIAS

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Output (V) Weight (kg) Force (N) Fit Values Error  

1 0.000 0.000 0 -0.208657771 0.208657771

2 1.255 10.000 98.1 97.99090592 0.109094078

3 2.509 20.000 196.2 196.112223 0.087777049

4 3.763 30.000 294.3 294.23354 0.066460019

5 5.017 40.000 392.4 392.354857 0.04514299

6 6.272 50.000 490.5 490.5544207 -0.054420703

7 0.006 0.000 0 0.260822214 -0.260822214

8 -1.248 -10.000 -98.1 -97.86049481 -0.239505185

9 -2.503 -20.000 -196.2 -196.0600585 -0.139941491

10 -3.758 -30.000 -294.3 -294.2596222 -0.040377798

11 -5.013 -40.000 -392.4 -392.4591859 0.059185896

12 -6.268 -50.000 -490.5 -490.6587496 0.158749589

Mean 0.0000

STDEV 0.1501

SEE 0.1574

2SEE 0.3149

Fit intercept -0.208657771

Fit slope 78.2466643

Output (V) Weight (kg) Moment arm Moment (Nm) Fit Values Error  

1 0.0000 0 0.125 0 -0.001468138 0.0014681

2 1.6680 4 0.125 4.905 4.896239453 0.0087605

3 3.3400 8 0.125 9.81 9.805692145 0.0043079

4 5.0120 12 0.125 14.715 14.71514484 -0.0001448

5 6.6850 16 0.125 19.62 19.62753381 -0.0075338

6 0.0000 0 0.125 0 -0.001468138 0.0014681

7 -1.6690 -4 0.125 -4.905 -4.902112004 -0.002888

8 -3.3390 -8 0.125 -9.81 -9.805692145 -0.0043079

9 -5.0100 -12 0.125 -14.715 -14.71220856 -0.0027914

10 -6.6820 -16 0.125 -19.62 -19.62166125 0.0016613

Mean 0.0000

STDEV 0.0046

SEE 0.0049

2SEE 0.0098

Fit intercept -0.0014681

Fit tangent 2.9362755

Thrust Transducer Calibration

Torque Transducer Calibration

y = 78.24666x - 0.20866

-600

-400

-200

0

200

400

600

-8.000 -6.000 -4.000 -2.000 0.000 2.000 4.000 6.000 8.000

y = 2.9363x - 0.0015

-25

-20

-15

-10

-5

0

5

10

15

20

25

-8.0000 -6.0000 -4.0000 -2.0000 0.0000 2.0000 4.0000 6.0000 8.0000

kg

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Summary of bias errors and uncertainties

Term Magnitude Percentage values TOTAL UNCERTAINTIES   %Temperature Measurement 15.000 B JT 0.002042 100.0000

BT 3.000E-01   2.00    U JT 0.002042   0.3388 

Propeller diameter 0.228 B KT(M) 0.001327 99.3172

BD 1.000E-04   0.04    P KT(M) 0.000110 0.6828

U KT(M) 0.001332   0.6967 

Fresh water density 1000.000

BD1-Temp Measurement -0.045 0.46   B KT(S) 0.001327 90.6519

BD2-Table look up 0.070 1.12   P KT(S) 0.000426 9.3481

BD3-ITTC 1978 0.655 98.42   U KT(S) 0.001394   0.7292 

BD 6.605E-01   0.07 

B KQ(M) 0.00021746 97.0916

Carriage speed 1.920 P KQ(M) 0.00003764 2.9084

Pulse count 1283.039 U KQ(M) 0.00022070   0.7179 

Bn1-pulse count-encoder 1.000 17.98

Bn2-pulse count- DAC 1.500 40.45 B KQ(S) 0.00021746 68.9977

Bn3-pulse count -ADC 1.500 40.45 P KQ(S) 0.00014577 31.0023

Bn4-pulse count-curve fit 0.250 1.12 U KQ(S) 0.00026180   0.8515 

Bn-pulse count 2.358   0.18 

Wheel diameter 0.38100

BD-wheel diameter 0.00012   0.03 

Dt 1.000E-01

BDt 1.025E-05   0.01 

qUnBn 0.00353 97.08

qUDBD 0.00058 2.62qUDtBDt -0.00020 0.30

BU 0.00358   0.19 

Propeller rate of revolutions 14.000

Pulse count 8.400E+02

Bc1 1.000E+00

Bc2 1.500E+00

Bc3 1.500E+00

Bc 2.345E+00

Dt 1.000E-01

BDt -0.001

qUcBc 0.039086798

qUDtBDt -1.435E-03Bn 3.911E-02

92%

8%

B KT(M)

P KT(M)

76%

24%

B KT(S)

P KT(S)

85%

15%

B KQ(M)

P KQ(M)

60%

40%B KQ(S)

P KQ(S)