i j k Aijk Kt D>Dmax i j k Cijk delta opt i j k Dijk H/D D>Dmax i j k Eijk ETA0 D>Dmax0 0 0 ### -0.019123 -0.019123 0 0 0 -2.749600 -2.749600 0 0 0 2.489180 2.48918 2.48918 0 0 0 0.829920 0.829920 0.8299202 0 0 ### -0.062080 -0.062080 1 0 0 21.695600 18.430412 1 0 0 -0.571440 -0.48543828 -0.48543828 1 0 0 0.104980 0.089181 0.0891813 0 0 ### -0.003668 -0.003668 0 1 0 89.443600 68.908321 0 1 0 11.906870 9.173182021 9.173182021 0 1 0 -4.271230 -3.290602 -3.2906020 0 1 ### -0.069156 -0.082589 2 0 0 -53.316500 -38.475866 0 0 1 -14.284650 -11.5592 -9.67916796 0 0 1 3.600350 2.913419 2.4395690 0 2 ### -0.066525 -0.094878 1 1 0 123.342100 80.722968 2 0 0 0.621170 0.448267486 0.448267486 2 0 0 -0.485340 -0.350246 -0.3502463 0 2 0.056290 0.005021 0.007161 3 0 0 33.105700 20.295181 1 1 0 -5.451670 -3.56792192 -3.56792192 1 1 0 1.375390 0.900143 0.9001432 0 3 0.099058 0.003967 0.006757 2 1 0 -77.104000 -42.867294 1 0 1 5.554000 3.81792534 3.196963522 1 0 1 -0.549680 -0.377860 -0.3164040 1 0 0.431314 0.311448 0.472617 1 2 0 ### -54.896458 0 2 0 -4.328690 -2.56921994 -2.56921994 0 2 0 2.456220 1.457847 1.4578471 1 0 0.189210 0.116065 0.176126 2 2 0 47.529000 20.357772 0 1 1 -10.671300 -6.65269941 -5.57067922 0 1 1 3.647680 2.274036 1.9041781 1 1 ### -0.059456 -0.107748 1 3 0 34.906000 13.559094 0 0 2 12.403710 8.122092843 5.694930762 0 0 2 -6.190530 -4.053631 -2.8422660 1 2 0.413600 0.043455 0.094046 0 4 0 -1.273800 -0.448736 3 0 0 0.190030 0.11649635 0.11649635 3 0 0 0.250500 0.153567 0.1535672 1 2 ### -0.009582 -0.020738 2 4 0 -7.664100 -1.948397 2 1 0 1.918820 1.06680097 1.06680097 2 1 0 -0.469110 -0.260810 -0.2608100 2 0 ### -0.045150 -0.103969 3 6 0 0.257700 0.033032 2 0 1 -4.893940 -2.85787731 -2.39306133 2 0 1 0.164490 0.096056 0.0804331 2 0 0.085648 0.037937 0.087360 1 2 0 -1.019120 -0.51384662 -0.51384662 1 2 0 -1.245530 -0.628004 -0.6280040 2 1 0.113060 0.022487 0.061839 1 1 1 4.447720 2.355490702 1.972384785 0 3 0 -1.260630 -0.576441 -0.5764410 2 2 ### -0.011116 -0.036508 0 3 0 5.245580 2.398615923 2.398615923 0 2 1 -1.302060 -0.625366 -0.5236540 6 0 ### -0.001124 -0.013723 0 2 1 0.972670 0.467163058 0.391181891 0 0 3 3.223210 1.707903 1.0027531 6 1 0.006694 0.000307 0.004484 2 2 0 0.658710 0.282140753 0.282140753 2 2 0 0.680190 0.291341 0.291341

2 0 2 2.750630 1.299796274 0.91137222 2 0 2 0.085610 0.040455 0.0283651 3 0 -0.383200 -0.14885248 -0.14885248 1 3 0 0.313890 0.121929 0.1219291 0 3 -3.617500 -1.62834506 -0.95604248 1 0 3 0.143440 0.064567 0.0379090 4 0 -2.187600 -0.77065058 -0.77065058 0 4 0 0.440880 0.155314 0.1553140 1 3 -1.392930 -0.56862534 -0.33385429 0 0 4 -0.794370 -0.340609 -0.1674543 2 0 -0.269880 -0.09819868 -0.09819868 3 2 0 -0.167060 -0.060787 -0.0607872 1 2 -0.916700 -0.33372807 -0.23399859 2 1 2 -0.202160 -0.073597 -0.0516040 3 2 0.553120 0.165616234 0.116124379 2 4 0 -0.040910 -0.010400 -0.0104001 5 0 0.105980 0.024434266 0.024434266 1 5 0 -0.010070 -0.002322 -0.0023221 1 4 0.807820 0.226690372 0.11144846 1 2 3 0.017100 0.004569 0.0026820 6 0 0.109980 0.022995778 0.022995778 0 6 0 -0.015010 -0.003138 -0.0031380 1 5 -0.042380 -0.01132855 -0.00466364 0 3 3 0.018590 0.004504 0.0026453 0 4 0.125080 0.032878403 0.016164107 0 1 5 0.016200 0.004330 0.0017833 3 2 -0.025880 -0.00475049 -0.00333088 0 0 6 0.003590 0.001008 0.0003472 1 5 -0.049010 -0.0094542 -0.00389203 3 1 3 0.033620 0.008414 0.0049400 6 2 -0.015240 -0.00208658 -0.00146304 2 0 5 -0.021050 -0.005271 -0.002170

0.1937067 0.365366 80.9204283 3 6 0 0.002470 0.000316608 0.000316608 1 0 6 0.001150 0.000274 0.0000951 6 2 -0.022160 -0.00257741 -0.00180719 0 6 1 -0.000470 -0.000080 -0.0000671 2 6 -0.024400 -0.0034542 -0.00119072 0 5 2 -0.000440 -0.000078 -0.0000550 3 6 0.004380 0.000562329 0.000193844 0 4 3 -0.000930 -0.000174 -0.0001023 4 4 -0.005440 -0.00050375 -0.00024766 0 2 5 0.000190 0.000039 0.0000161 6 5 0.001280 7.88858E-05 3.24751E-05 0 1 6 0.000100 0.000022 0.0000073 6 4 0.002380 0.000130808 6.43095E-05 3 5 0 0.002550 0.000424 0.0004243 6 6 -0.000130 -4.6786E-06 -1.6128E-06 3 4 1 0.002000 0.000350 0.000293

0.722091892 1.095761769 3 3 2 0.003040 0.000558 0.0003910.460755 0.419549

ESTIMACION DEL DIAMETRO OPTIMO, DE SU RENDIMIENTO Y RELACION PASO DIAMETRO PARA UN PROPULSOR DE 5 PALAS

by Yide Shen,PhD and professor J L J Marshall, PhD)

DATOS DEL BUQUE

potencia efectiva EHP 7143.817 [CV]potencia instalada BHP 10659.420 [CV]revoluciones N 110.000 [r.p.m]velocidad del proyecto del buque V 15.000 [nudos]velocidad de avance Va 8.117 [nudos]imersion del eje Ieje 7.500 [m]desidad del agua del mar ro 104.587 [kg/m^3]presion atmosferica Pa 10300.000 [atm]presion de vapor Pv 200.000 [atm]

Coefficientes propulsivos

coeficiente de estela w 0.459 [-]coefficiente de succion t 0.231 [-]rendimiento rotativo relativo eta r 0.997 [-]rendimiento mecanico eta m 0.990 [-]coefficiente de utilisacion del motor Kp 1.000 [-]

Datos de la helice

relacion area expandida area disco Ae/A0 0.8495 [-]diemetro maximo que cabe Dmax 5.0000 [m]

Bp 59.3533 [-]Bp^(0,5)/10 0.7704 [-] D>Dmax

delta = 1/J delta opt 80.9204 [-]delta 67.759

delta/100 0.8092 [-] delta/100 0.678diametro optimo Dopt 5.9712 [m] Dopt 5.000relacion paso diametro H/D 0.7221 [-] H/D 1.096rendimiento del propulsor en aguas abiertas ETA 0 0.4608 [-] ETA 0 0.420grado de avance J 0.3814 [-] J 0.456empuje T 86565.5049 [Kg] T 80272.990area expandida area disco minima Ae/A0min (keller) 0.4020 [-] Keller 0.525

Helice resultante

diametro D 5.0000 [m]

paso diametro H/D 1.0958 [-]

area expandida area disco Ae/A0 0.8495 [-]

area expandida area disco minima Ae/A0min 0.5252 [-]

rendimiento del propulsor aislado ETA0 0.4195 [-]

rendimiento propulsivo ETAp 0.5885 [-]

empuje T 80272.9898 [Kg]

(datos sacados de "expression of the Bp-delta diagrams in polynomial for marine propeller series"

potencia instalada disponible BHP disponible 10659.4200 [CV]

potencia installada necessaria BHP necessaria 12139.9284 [CV] -13.89 %

despues del calculo de la helice aparece que la estimacion por holtrop no esta suficiente por lo que tenemos que elegir un motor con mas potencia:

Modelo Empresa BHP [CV] N [r.p.m]6L RTA 62U R2 SULTZER (2tiempos) 13052.35 115