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Resistance prediction for sea vessels, according to Associate Prof. Timoshenko.

Project :Designer :Filename : New model.fbm

Date : 11/17/2014Time : 9:09:57 AM

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Input variables----------------------------------------------------------------------------------

GeneralStart speed : 1.00 knEnd speed : 9.00 knWater density : 1.025 t/m^3Water viscosity : 1.1890*10^(-6) m^2/s

HullLength on waterline : 14.380 mBeam on waterline : 3.308 mDraft on midship : 1.400 mDraft on F.P. : 1.400 mDraft on F.A. : 1.400 mWetted surface area : 53.88 m^2Waterplane area : 32.85 m^2Displacement : 18.890 m^3Longitudinal center of buoyancy : 0.000 %Prismatic coefficient : 0.6234

Calculated variables----------------------------------------------------------------------------------

Cp = 0.6234Cb = 0.2836Cwp = 0.6906Cm = 0.4550Cbt = 0.0000Am = 2.11 m^2Lwl/Bwl = 4.347Bwl/T = 2.363Lwl/T = 10.271Cstrn = 0Np = 1

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Final calculations of resistance by a method Holtrop-1988+-------+-------+-------+--------+--------+--------+---------+--------+---------+| Speed | Speed | Fr | R_f | R_r | R_T | Power | R_T_e | Power_e || [kn] | [m/s] | [-] | [N] | [N] | [N] | [W] | [N] | [W] |+-------+-------+-------+--------+--------+--------+---------+--------+---------+| 1.00 | 0.51 | 0.043 | 32.8 || 1.86 | 0.96 | 0.080 | 101.5 | 19.2 | 120.6 | 115.3 | 120.6 | 115.3 || 2.71 | 1.40 | 0.118 | 203.3 | 41.0 | 244.3 | 341.1 | 244.3 | 341.1 || 3.57 | 1.84 | 0.155 | 336.4 | 72.5 | 408.9 | 751.2 | 408.9 | 751.2 || 4.43 | 2.28 | 0.192 | 499.7 | 127.5 | 627.1 | 1428.7 | 627.1 | 1428.7 || 5.29 | 2.72 | 0.229 | 692.1 | 257.3 | 949.4 | 2581.7 | 949.4 | 2581.7 || 6.14 | 3.16 | 0.266 | 913.1 | 566.1 | 1479.1 | 4674.3 | 1479.1 | 4674.3 || 7.00 | 3.60 | 0.303 | 1161.9 | 1254.8 | 2416.7 | 8702.7 | 2416.7 | 8702.7 || 8.00 | 4.12 | 0.347 | 1486.8 | 2122.8 | 3609.7 | 14855.8 | 3609.7 | 14855.8 || 9.00 | 4.63 | 0.390 | 1848.4 | 4355.3 | 6203.7 | 28723.3 | 6203.7 | 28723.3 |+-------+-------+-------+--------+--------+--------+---------+--------+---------+

Tb = 3149 NKdt = 1.100Dp = 0.600 mZ = 4Ae/Ao = 0.308 - calculatedAe/Ao = 0.400 - for selection of propeller diagramP/Dp = 0.828 - by curve of propeller optimal frequencyKe = 1.000ie = 23.912 degrWt = 0.1077t = 0.2325EtaR = 1.0148EtaH = 0.8601EtaH*EtaR= 0.8729

NOTE: Coefficients Wt, t and EtaR were calculated by formulaes of method Holtrop-1988

Copyright (c) 2007-2010, Timoshenko V.F.

---------------------------------------------------------------------------University of MichiganDepartment of Naval Architecture and Marine Engineering

Power Prediction Program (PPP-1.8) by M. G. Parsons

Input Verification:

Length of Waterline LWL (m) = 14.38Maximum Beam on LWL (m) = 3.31Depth at the Bow (m) = 0.00

Mean Draft (m) = 1.40

Draft Forward (m) = 1.40Draft Aft (m) = 1.40

Block Coefficient on LWL CB = 0.2836Prismatic Coefficient on LWL CP = 0.6234Midship Coefficient to LWL CM=CX = 0.4550Waterplane Coefficient on LWL CWP = 0.6906

Center of Buoyancy LCB (% LWL; + Fwd) = 0.0000Center of Buoyancy LCB (m from FP) = 7.19Molded Volume (m^3) = 18.9Deck House/Cargo Frontal Area (m^2) = 0.00

Water Type = Salt@15C

Water Density (kg/m^3) = 1025.00Kinematic Viscosity (m^2/s) = 0.118900E-05

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Appen. Drag (% Bare Hull Resistance) = 0.00

Bulb Section Area at Station 0 (m^2) = 0.00Vertical Center of Bulb Area (m) = 0.00

Transom Immersed Area (m^2) = 0.00Stern Type = Normally ShapedDesign Margin on RT,PE,REQ.THR (%) = 0.00Propulsion Type = SS, Conv.

Propeller Diameter (m) = 0.60Propeller Expanded Area Ratio Ae/Ao = 0.4000

Wetted Surface (m^2) = 53.88Half Angle of Entrance (deg) = 24.77

Speed, Resistance Coefficients and Frictional Resistance RF(N):

V(kts) V(m/s) FN SLRATIO CF CR CA RF

1.00 0.51 0.0433 0.1456 0.003263 0.001240 0.000761 23.82.00 1.03 0.0866 0.2912 0.002889 0.001098 0.000761 84.53.00 1.54 0.1300 0.4368 0.002699 0.001028 0.000761 177.54.00 2.06 0.1733 0.5824 0.002576 0.001032 0.000761 301.25.00 2.57 0.2166 0.7279 0.002486 0.001289 0.000761 454.16.00 3.09 0.2599 0.8735 0.002416 0.002048 0.000761 635.57.00 3.60 0.3032 1.0191 0.002359 0.003707 0.000761 844.68.00 4.12 0.3466 1.1647 0.002311 0.004748 0.000761 1080.8

Remaining Resistance Components (N):

Form Appendage Wave Bulb Transom Correlation Air DragV(kts) RF*K1 RAPP RW RB RTR RA RAIR

1.00 9.1 3.4 0.0 0.0 0.0 5.6 0.02.00 32.1 13.6 0.0 0.0 0.0 22.2 0.03.00 67.5 30.7 0.1 0.0 0.0 50.0 0.04.00 114.5 54.5 6.2 0.0 0.0 88.9 0.05.00 172.6 85.2 62.8 0.0 0.0 139.0 0.06.00 241.5 122.7 297.3 0.0 0.0 200.1 0.07.00 321.0 167.0 1006.3 0.0 0.0 272.4 0.08.00 410.7 218.2 1809.9 0.0 0.0 355.8 0.0

Resistance, Effective Power, Propulsion Factors and Required Thrust

V(kts) RT(N) PE(kW) w t REQ.THR(N) EtaH EtaR

1.00 41.9 0.02 0.1287 0.2325 54.6 0.8809 1.01482.00 152.4 0.16 0.1205 0.2325 198.6 0.8726 1.01483.00 325.9 0.50 0.1165 0.2325 424.6 0.8687 1.01484.00 565.3 1.16 0.1139 0.2325 736.6 0.8662 1.01485.00 913.8 2.35 0.1121 0.2325 1190.6 0.8644 1.0148

6.00 1497.2 4.62 0.1107 0.2325 1950.7 0.8630 1.01487.00 2611.3 9.40 0.1095 0.2325 3402.3 0.8619 1.01488.00 3875.4 15.95 0.1086 0.2325 5049.3 0.8610 1.0148

Copyright (c) 1996, M. G. Parsons (PPP v1.8)Copyright (c) 2008-2010, Timoshenko V.F.