No. 237 May 1981 T, KQ and Efficiency Curves for the Wageningen B-Series Propellers by M.M. Bernitsas D. Ray P. Kinley %S\tv O Department of Naval Architecture c91t~ ^~ -5~ ~and Marine Engineering College of Engineering,>%> ~ ~The University of Michigan Ann Arbor, Michigan 48109; 8~11

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ABSTRACT The B-series propellers were designed and tested at the Netherlands Ship Model Basin in Wageningen. The open-water characteristics of 120 propeller models of the B-series were tested at N.S.M.B. and analyzed with multiple polynomial regression analysis [1]. The derived polynomials express the thrust and torque coefficients in terms of the number of blades, the blade area ratio, the pitch-diameter ratio and the advance coefficient. The Reynolds number effect and the effect of variation of blade thickness on the Bseries propeller characteristics have also been evaluated at N.S.M.B. In this report the polynomials derived in [1] are used to plot the open water propeller characteristics for Reynolds number 2.Ox106 and for the ranges of number of blades, blade area ratio and pitch-diameter ratio recommended by N.S.M.B. The extent of applicability of the regression polynomials is also discussed. -iii

ACKNOWLEDGEMENTS This report was prepared in fulfillment of the requirements for the design project in the graduate computer-aided design course, NA 574, of the Department of Naval Architecture and Marine Engineering of the University of Michigan. Computer funds were provided by the department. Thanks are due to Professor R.F. Beck for his constructive comments and Mrs. Paula Bousley for the excellent typing and editing of this report.'~V"

TABLE OF CONTENTS Page ABSTRACT.*I......... ~ ~~**~... * ii ACKNOWLEDGEMENTS.................................................. v LIST OF FIGURES...,......,,,,,,,,,,,,,, ix NOMENCLATURE....................................................... x INTRODUCTION....................................................... 1 KT, KQ POLYNOMIALS AND REYNOLDS NUMBER CORRECTIONS-.....*........ 3 LIMITATIONS OF APPLICABILITY OF THE REGRESSION POLYNOMIALSOM.I..... 5 REFERENCES. ~~~ ~~ *0~~000~~~~~~,~~~~0~~~.~~~~~- 6 FIGURES..........................o r e ~oo....................... 7 -vri i

LIST OF FIGURES Figure No. Page 1. Propeller with 2 blades and AE/Ao = 0.30.................... 7 2. Propeller with 2 blades and AE/Ao = 0.35................. 8 3. Propeller with 2 blades and AE/Ao = 0.40.................... 9 4. Propeller with 2 blades and AE/Ao = 0.45..................... 10 5. Propeller with 2 blades and AE/Ao = 0.50........-............. 11 6. Propeller with 2 blades and AE/Ao = 0.55.................... 12 7. Propeller with 2 blades and AE/Ao = 0.60..................... 13 8. Propeller with 2 blades and AE/Ao = 0.65..................... 14 9. Propeller with 2 blades and AE/Ao = 0.70...................... 15 10. Propeller with 2 blades and AE/Ao = 0.75o....o.............. 16 11. Propeller with 2 blades and AE/Ao = 0.80................... 17 12. Propeller with 2 blades and AE/Ao = 0.85..................... 18 13. Propeller with 2 blades and AE/Ao = 0.900.................... 19 14. Propeller with 2 blades and AE/Ao = 0.95..................... 20 15. Propeller with 2 blades and AE/Ao = 1.00..................... 21 16. Propeller with 2 blades and AE/Ao = 1.05..................... 22 17. Propeller with 3 blades and AE/Ao = 0.30o......o............. 23 18. Propeller with 3 blades and AE/Ao = 0.35..................... 24 19. Propeller with 3 blades and AE/Ao = 0.40..................... 25 20. Propeller with 3 blades and AE/Ao = 0.450....... 0............ 26 21. Propeller with 3 blades and AE/Ao = 0.50o.................... 27 22. Propeller with 3 blades and AE/Ao = 0.55..................... 28 23. Propeller with 3 blades and AE/Ao = 0.60..................... 29 24. Propeller with 3 blades and AE/Ao = 0.65..................... 30 25. Propeller with 3 blades and AE/Ao = 0.70................. 31 26. Propeller with 3 blades and AE/Ao = 0.75..................... 32 27. Propeller with 3 blades and AE/Ao = 0.80..................... 33 28. Propeller with 3 blades and AE/Ao = 0.85.................... 34 29. Propeller with 3 blades and AE/Ao = 0.90................... 35 30. Propeller with 3 blades and AE/Ao = 0.95.................... 36 31. Propeller with 3 blades and AE/Ao = 1.00..................... 37 32. Propeller with 3 blades and AE/Ao = 1.05..................... 38 -ix

Figure No. Page 33. Propeller with 4 blades and AE/Ao = 0.30..................... 39 34. Propeller with 4 blades and AE/Ao = 0.35..................... 40 35. Propeller with 4 blades and AE/Ao = 0.40..................... 41 36. Propeller with 4 blades and AE/Ao = 0.45...................... 42 37. Propeller with 4 blades and AE/Ao = 0.500....00..0........... 43 38. Propeller with 4 blades and AE/Ao = 0.55.................. 44 39. Propeller with 4 blades and AE/Ao = 0.60.0 0....... 00......... 45 40. Propeller with 4 blades and AE/Ao = 0.65..................... 46 41. Propeller with 4 blades and AE/Ao = 0.70..................... 47 42. Propeller with 4 blades and AE/Ao = 0.75..................... 48 43. Propeller with 4 blades and AE/Ao =.80.................... 49 44. Propeller with 4 blades and AE/Ao = 0.85..................... 50 45. Propeller with 4 blades and AE/Ao = 0.90..................... 51 46. Propeller with 4 blades and AE/Ao = 0.95..................... 52 47. Propeller with 4 blades and AE/Ao = 1.00..................... 53 48. Propeller with 4 blades and AE/Ao = 1.05..................... 54 49. Propeller with 5 blades and AE/Ao = 0.30..................... 55 50. Propeller with 5 blades and AE/Ao = 0.35................~.... 56 51. Propeller with 5 blades and AE/Ao = 0.40..................... 57 52. Propeller with 5 blades and AE/Ao = 0.45..................... 58 53. Propeller with 5 blades and AE/Ao = 0.50..................... 59 54. Propeller with 5 blades and AE/Ao = 0.55..................... 60 55. Propeller with 5 blades and AE/Ao = 0.60..................... 61 56. Propeller with 5 blades and AE/Ao = 0.65..................... 62 57. Propeller with 5 blades and AE/Ao = 0.70..................... 63 58. Propeller with 5 blades and AE/Ao = 0.75..................... 64 59. Propeller with 5 blades and AE/Ao = 0.80..................... 65 60. Propeller with 5 blades and AE/Ao = 0.85..................... 66 61. Propeller with 5 blades and AE/Ao = 0.90..................... 67 62. Propeller with 5 blades and AE/Ao = 0.95................. 68 63. Propeller with 5 blades and AE/Ao = 1.00.................... 69 64. Propeller with 5 blades and AE/A = 1.05...................... 70 65. Propeller with 6 blades and AE/Ao = 0.30.................... 71 66. Propeller with 6 blades and AE/Ao = 0.35....................... 72

Figure No. Page 67. Propeller with 6 blades and AE/Ao = 0.40..................... 73 68. Propeller with 6 blades and AE/Ao = 0.45..................... 74 69. Propeller with 6 blades and AE/Ao = 0.50.................... 75 70. Propeller with 6 blades and AE/A = 0.55...................... 76 71. Propeller with 6 blades and AE/Ao = 0.60.0.................. 77 72. Propeller with 6 blades and AE/Ao = 0.65................... 78 73. Propeller with 6 blades and AE/Ao = 0.70............... 79 74. Propeller with 6 blades and AE/Ao = 0.75..................... 80 75. Propeller with 6 blades and AE/Ao = 0.80..................... 81 76. Propeller with 6 blades and AE/Ao = 0.85..................... 82 77. Propeller with 6 blades and AE/Ao = 0.90..................... 83 78. Propeller with 6 blades and AE/Ao = 0.95................. 84 79. Propeller with 6 blades and AE/Ao = 1.00................... 85 80. Propeller with 6 blades and AE/Ao = 1.05..................... 86 81. Propeller with 7 blades and AE/Ao = 0.30..................... 7 82. Propeller with 7 blades and AE/Ao = 0.35..................... 88 83. Propeller with 7 blades and AE/Ao = 0.40..................... 89 84. Propeller with 7 blades and AE/Ao = 0.45...90................ 90 85. Propeller with 7 blades and AE/Ao = 0.50..................... 91 86. Propeller with 7 blades and AE/Ao = 0.55..................... 92 87. Propeller with 7 blades and AE/Ao = 0.60..................... 93 88. Propeller with 7 blades and AE/Ao = 0.65..................... 94 89. Propeller with 7 blades and AE/Ao = 0.70..................... 95 90. Propeller with 7 blades and AE/Ao = 0.75..................... 96 91. Propeller with 7 blades and AE/Ao = 0.80.................... 97 92. Propeller with 7 blades and AE/Ao = 0.85..................... 98 93. Propeller with 7 blades and AE/Ao = 0.90..................... 99 94. Propeller with 7 blades and AE/Ao = 0.95..................... 100 95. Propeller with 7 blades and AE/Ao = 1.00..................... 101 96. Propeller with 7 blades and AE/Ao = 1.05.................... 102 -xi

NOMENCLATURE AE/Ao blade area ratio CsQtu v coefficient in the KQ polynomial expression T CsltlUIV coefficient in the KT polynomial expression D propeller diameter J advance coefficient torque coefficient KT thrust coefficient n propeller revolutions per second P/D pitch-diameter ratio Q propeller torque Re Reynolds number T propeller thrust t/c thickness to cord ratio for propeller blades VA speed of advance Z number of blades Greek Symbols In open-water propeller efficiency p fluid density -xii

INTRODUCTION The open-water propeller characteristics conventionally are presented in the form of the thrust and torque coefficients KT and ~ in terms of the advance coefficient J where T KT = (1) pn2D4 pn2D5 (2) J VA (3) nD where T is the propeller thrust, Q is the propeller torque, p is the fluid density, n is the number of propeller revolutions per second, D is the propeller diameter and VA is the speed of advance. The open-water efficiency of the propeller is 3 KT no = KT (4) = 27r KQ The thrust and torque coefficients can be written as: P AE t) KT = fT(J p Z, Re - (5)c Z r e c and KQ = fQ(j D E AE, Re, t)(6) where P/D is the pitch diameter ratio AE/Ao is the blade area ratio Z is the number of propeller blades -1

Re is the Reynolds number of a characteristic radius (0.75 R) t/c is the ratio of the maximum propeller blade thickness to the length of the cord at a characteristic radius (0.75 R) P AE KT and KQ can be expressed in terms of polynomials of J, A and Z (see Table 1) [1]. The Reynolds number effect on the propeller characteristics has been taken into account using Lerbs method [2]. The Reynolds number corrections for KT and' are polynomial expressions of Re, P/D, AE/AO and J (see Table 2). Finally the effect of variation of blade thickness on propeller characteristics can be represented as a change in the Reynolds number and need not be formulated in a polynomial form [11. -2

KT, KQ POLYNOMIALS AND REYNOLDS NUMBER CORRECTIONS The polynomials for KT and K derived with multiple regression analysis are KT = C s,t,u,v (J)S (p/D)t (AE/Ao)U (Z)v (7) s,t,u,v T Q The coefficients Cst,u,v and Cst,u,v and terms s,t,u,v are given in Table 1. For Reynolds number greater than 2x106 the open water propeller characteristics should be corrected. The corrections AKT(Re, J, P/D, AE/Ao, z) (9) and AKQ(Re, J, P/D, AE/Ao, z) (10) are given in Table 2. -3

TABLE 1 Coefficients and terms of the KT and KQ polynomials for the Wageningen B-screw Series for Rn=2x106. Reproduced from [ 1] KT T Cs,t,u,v.(J)S.(P/D)t.(AE/Ao)U.(zv) Q= s,t,u,v C, (J)s.(P/D)t.(AE/Ao)U.(zV) T s t u v Q s t u v KT Cstuv (J) (P/D) (AE/Ao) (Z) Cs tuv (J) (P/D) (AE/Ao) (Z) +0.00880496 0 0 0 0 +0.00379368 0 0 0 0 -0.204554 1 0 0 0 +0.00886523 2 0 0 0 +0.166351 0 1 0 0 -0.032241 1 1 0 0 +0.158114 0 2 0 0 +0.00344778 0 2 0 0 -0.147581 2 0 1 0 -0.0408811 0 1 1 0 -0.481497 1 1 1 0 -0.108009 1 1 1 0 +0.415437 0 2 1 0 -0.0885381 2 1 1 0 +0.0144043 0 0 0 1 +0.188561 0 2 1 0 -0.0530054 2 0 0 1 -0.00370871 1 0 0 1 +0.0143481 0 1 0 1 +0.00513696 0 1 0 1 +0.0606826 1 1 0 1 +0.0209449 1 1 0 1 -0.0125894 0 0 1 1 +0.00474319 2 1 0 1 +0.0109689 1 0 1 1 -0.00723408 2 0 1 1 -0.133698 0 3 0 0 +0.00438388 1 1 1 1 +0.00638407 0 6 0 0 -0.0269403 0 2 1 1 -0.00132718 2 6 0 0 +0.0558082 3 0 1 0 +0.168496 3 0 1 0 +0.0161886 0 3 1 0 -0.0507214 0 0 2 0 +0.00318086 1 3 1 0 +0.0854559 2 0 2 0 +0.015896 0 0 2 0 -0.0504475 3 0 2 0 +0.0471729 1 0 2 0 +0.010465 1 6 2 0 +0.0196283 3 0 2 0 -0.00648272 2 6 2 0 -0.0502782 0 1 2 0 -0.00841728 0 3 0 1 -0.030055 3 1 2 0 +0.0168424 1 3 0 1 +0.0417122 2 2 2 0 -0.00102296 3 3 0 1 -0.0397722 0 3 2 0 -0.0317791 0 3 1 1 -0.00350024 0 6 2 0 +0.018604 1 0 2 1 -0.0106854 3 0 0 1 -0.00410798 0 2 2 1 +0.00110903 3 3 0 1 -0.000606848 0 0 0 2 -0.000313912 0 6 0 1 -0.0049819 1 0 0 2 +0.0035985 3 0 1 1 +0.0025983 2 0 0 2 -0.00142121 0 6 1 1 -0.000560528 3 0 0 2 -0.00383637 1 0 2 1 -0.00163652 1 2 0 2 +0.0126803 0 2 2 1 -0.000328787 1 6 0 2 -0.00318278 2 3 2 1 +0.000116502 2 6 0 2 +0.00334268 0 6 2 1 +0.000690904 0 0 1 2 -0.00183491 1 1 0 2 +0.00421749 0 3 1 2 +0.000112451 3 2 0 2 +0.0000565229 3 6 1 2 -0.0000297228 3 6 0 2 -0.00146564 0 3 2 2 +0.000269551 1 0 1 2 +0.00083265 2 0 1 2 +0.00155334 0 2 1 2 +0.000302683 0 6 1 2 -0.0001843 0 0 2 2 -0.000425399 0 3 2 2 =R = 2 x 106 +0.0000869243 3 3 2 2 -0.0004659 0 6 2 2 +0.0000554194 1 6 2 2 -4

TABLE 2 Polynomials for Reynolds number effect (above Rn = 2x106) on KT and KQ AKT = 0.000353485 -0.00333758 ( AE/Ao) J2 -0.00478125(AE/Ao) (P/D)J +0.000257792(logRn-0.301 )2(AE/AO)J2 +0.0000643192(logRPn-0.301)(P/D)6J2 -0.0000110636(logRn-0.301 )2(P/D)6J2 -0.0000276305(logRn-0.301) 2z(AE/Ao)J2 +0.0000954(logR-0.301 )z(AE/AO) (P/D)J +0.0000032049(logRn-0.301)z2 (AE/Ao) (P/D) 3 AKQ -0.000591412 +0.00696898(P/D) -0.0000666654z(P/D) 6 +0.0160818(AE/Ao) 2 -0.000938091 (logRn-0.301) (P/D) -0.00059593(logRn-0.301) (P/D)2 +0.0000782099(logRn-0.301 )2(P/D)2 +0.0000052199(logRn1-0.301 )z (AE/Ao)J2 -0.00000088528(logRn-0.301) 2z(AE/Ao)(P/D)J +0.0000230171 (logRn-0.301 )z(P/D)6 -0.00000184341 (logRn-.301 )2z (P/D) 6 -0.00400252(logRn-0.301) (AE/A)2 +0.000220915(logR-0.301) 2 (AE/Ao) 2

LIMITATIONS OF APPLICABILITY OF THE REGRESSION POLYNOMIALS The derived regression polynomials can be used to evaluate the thrust and torque coefficients for 2 4 Z 4 7, (11) 0.30 4 AE/AO < 1.05 r (12) and 0.5 4 P/D ( 1.40 (13) However, at the extremes of the above ranges the results are not fully reliable. For instance the thrust coefficient KT displays a local maximum for low values of J, high number of blades, low blade area ratio and high pitchdiameter ratio. This minor error is due to regression analysis. 96 open-water propeller characteristics curves are included in this report. For each set of blades between 2 and 7, sixteen graphs have been plotted for blade area ratio varying between 0.30 and 1.05 in steps of 0.05 and pitch diameter ratio varying between 0.50 and 1.40 in steps of 0.10. These graphs have been plotted with the aid of the Michigan Computer Center plotting routines which are included in the public file *PLOTSYS [3]. REFERENCES 1. Oosterveld, M.W.C. and P. Van Oosanen, "Further Computer-Analyzed Data of the Wageningen B-Screw Series," IV International Symposium on Ship Automation, Genova, Italy, Nov. 1974. 2. Lerbs, H.W., "On the Effect of Scale and Roughness on Free Running Propellers," Journal ASME, 1951. 3. MTS Volume 11: "Plot Description System," University of Michigan Computing Center, 1978. -6

FIGURE 1. WPGENINGEN B-SERIES PROPELLERS FOR 2 BLFADES FE/RO= 0.300 P/D=0.50 TO 1.40 tLU C-) HI B wc C_3 CLL ) c 1.4 LL LL LIJ, qL EL~~~c:-) ~1.2 3 L.'~~~~~~~~~~~~~~~~~~~~~~~~~~H LLi,~ c: 1.02 \I ( (I)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~L CD CD0 0..6 00 3::D C F cI'-' —: C: 0.5 0.6 _.7 0.8.9 0 1.2 1 _ 14'.o0 0.20 0. 40 0.,60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 2. WAGENINGEN B-SERIES PROPELLERS FOR 2 BLADES AE/AO= 0.350 Cao~~~ ~P/D=0.50 TO 1.40 ""' C(,. > —o u cr; Z LLI H C) LL O~ w.~~~~. LL ~L C-) Q3 cr-." C3 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ( i.00 0.20 0.,40 0.60L12 ADVANCE COEFF(J)!~ ~~ F —\I! O L L~o 4Z) I — I \ —4Qt O ~ ~ ~ ~ ~ ~ ~ ~ ~ I O'=0.00.20 0.40 0.60 0.80 1.00 1.20 1.40:: ADVANCE COEFF(J)

FIGURE 3. WAGENINGEN B-SERIES PROPELLERS FOR 2 BLADES AE/AO= 0.400,=,C3~~ ~P/D=0.50 TO 1.40 C3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~c CD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C >-..oo c_ c:; I ~ 1 ~ L(__1T' LL.) 14 C3) LL~c c~LL ~~~~~~~~~~~~~~~~~~~~~~~~~~~~LL CD 1,4~~~~~~~~~~~~~0. LL'~~~~~~~~~~~~~~~~~~~~~~~~~~~~-' I- - --- —.-... 1. (_). 0.1.0 LL oL (-)o 02 0.401 00 ADVANCE CO EFF(J' -1.1 F~\I II I'-I \ c:O CO 4 0 0.9'". 2-1 o~. _ _ - - ~ _"-~ —0~~~~~~ ~ ~ ~ ~-..~" ~'Cr ——.. ~~~~~~~~~~~~~0.5.6 0.7'0. o g.0 1.. 1.3 14c:':::'0.00 0.20 0.40 0..60 0.80 1.0 0 1.20 1. 40 ADVANCE COEFF(J)

FIGURE 4. WAGENINGEN B-SERIES PROPELLERS FOR 2 BLADES RE/AO= 0.450 P/D=0.50 TO 1.40 C3 > —o...... LOc c:; CD; W5 i u~~ ~~~~~~~~~~~~ o~ 8We:; 1.4 L ~~~~~~~~~~~~~~~~~~~~~~~~~~~~LL. c:3~~ ~~ ~~~~~~~~~~~~~~~~~~~~~~~c 0.9-,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~0 8 c:) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~c 0.40 ~~0.6 5 0.6 0.7 0.8 0.91 1.0 11 1.2 1.3 1.4c ADVANCE COEFF(J)

FIGURE 5. WFGENINGEN B-SERIES PROPELLERS FOR 2 BLADES RE/AO= 0.500 P10=0.50 TO 1.40 > c o _ _ _ _ __ _ _ _ _ _ _ _ _ _ _ _ _ _ Jco C-) ~H Lo1c UC3~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~c CD~~~~~~~~~~~~~~~~~~~~~~~~~~c (~~~~~~~~~~~~~~~~~~~~~~~~~~~~-) F~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ — I-0 1.4 0IDVNCECOEFF(J).2 0.9 0~~~~~~~~~~~~~~~.3 1.82 c10.004 o5O O~:08010.014 ~~~~~~~DACE CEF(J

FIGURE 6. WAGENINCEN B-SERIES PROPELLERS FOR 2 BLADES RE/AO= 0.550 P/D=0.50 TO 1.40 CD ~ ~ ~ ~ ~ ~ ____________C >- co.. HI C_) L-L (4 HD LL~'~ 1~ ~ ~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.2 " ILL [-) CZ) C3 Or'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~cc ~ ~~~~~~~~~~-~ 0.!' —,._., (I) 0. 5 0.6 0. 7 0. 8 0.9 1.0 1.1 1.2 1.3 1.4'0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 7. WAGENINGEN B-SERIES PROPELLERS FOR 2 BLADES IE/AO= 0.600 P/D=0.50 TO 1.40 C3 C) >-~., r._) c:3 c:3 LL 1.4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. co H~ LLW LLW.. ui 1.3 LL1 cJ 9 1.2~~~~~~~~~~~~~~~~~. I ~ L 1~ ~: ~ r LL r~~~~~~l 1.0 03~~~~~~0 LJo 00ZZ) ( CD) c Co C~b.oo 0.20 0.406. o.7 0 1. 1.40 ADVANCE COEFF(J)

FIGURE 8. WFICENINGEN B-SERIES PROPELLERS FOR 2 BLADES RE/RO= 0.650 P/D=0.50 TO 1.40 CDc3 >- co C —) cH 1.41. LL- 1.3 LL 3 co ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~o 0~~~~~~~~~~c0 C) c 0 1.20 1. 0LF C J LL C ~~ ~ ~IL \ADVANCE COEFF(J)

FIGURE 9. WFIGENINCEN B-SERIES PROPELLERS FOR 2 BLIADES RE/fiO= 0.700 P/D=0.50 TO 1.40 CD ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ D LL W. 2~~~~~~~~c F-J~ ~ ~ ~ ~~ ~ ~~~~~~~~~~~~~~~~~~~~~F Ln ~ F0.40 0.5 o.~~~6 0.7 0.80 1~~.00 c:) ~ ~ ~ ~ ~ ~ IDRC CEFJ

FIGURE 10. WAGENINGEN B-SERIES PROPELLERS FOR 2 BLRDES AE/RO= 0.750 o3 P/D=0.50 TO 1.40 C) HI B~~1 u~~~~~~~~~~~~~~~~~~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.4 (0 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~ __ cCZ)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ LLJ CDc cn I~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~N 0.9 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ c 01-CD~~~~~~~~~~~~~~~~~~~~~~~~~~F LEo ADVANCE C F i]] " —.-. Or' o0..7..9 1 0 11'l.. 0.20 0.40 0.60 0.80 1.00 1.20 1.40~~~~~~~~~~~~~~~~~~~~~~~~~~~~~CS ~-~ ~ ~ ~ ~ ~~DACECEFJ

FIGURE 11. WRGENINGEN B-SERIES PROPELLERS FOR 2 BLADES AE/AO= 0.800,:: P/D=0.50 TO 1.40 UC) 1. 4 ~o~~~oo 0.20 0.40 0.60 0.80 ~~~~~~~~1.00.014 LL LL c:) 0.9, LL LL 0~~~~~~~~~~~~~~~~~~. 9 C~~~~~~~~~~~~~~~cD ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ c C~ ".. 0.5 xi~c CO~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~'=~ 00.00,4.0.01.00 1.20,:::0 ADVANCE COEFF(J)

FIGURE 12. WFGENINGEN B-SERIES PROPELLERS FOR 2 BLADES AE/RO= 0.850 P/D=0.50 TO 1.40 o ~~~~~~~~~~~~~~~~~~~~~~~~~~NI H~ CD Wcn D:- Go uc~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~c L O 5 O. —0. 7. 0.91. 1.4 1. 1. 14 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~LL LL_ L o 0.60 0.80 1.00 1.20 1.40 BOVANCE COEFF(J) CZ) C30 0.7'0 O n. q 0.( 0. 7 O.~ 0. 9 1.,J 1 1. 1.3 1.4 z C,.OO 0.20 0. 40 0.60 0.80 1.00 1.20 1.40 ADVAtNCE COEFF(J)

FIGURE 13. WAGENINGEN B-SERIES PROPELLERS FOR 2 BLADES RE/AO= 0.900 P/D=0.50 TO 1.40 C)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C >- 0 LLL H~~~~~~~~~~~~~~ ~H c LLO Qo ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ o ~~~~~~~~~~~~~~~~~~~~~~~~~~~~LL i~~~~L LLJ ~o F~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ — 2 CD c:: 1. 0.40 0.6010.80 1.00104 cr- C) ~ ~ ~ ~ OVNE OFFJ 0L 7 (2 F — F OO~~~~~~~~~~~~. 06 0709 10 11 1 13 14 i.,00 0.20 0.40 0.6 1.80 1.00 1. 0 1.4 F-c:; ~~~ ~ AVAC OEFJ

FIGURE 14. WAGENINGEN B-SERIES PROPELLERS FOR 2 BLADES RE/AO= 0.950 P/D=0.50 TO 1.40 CD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C C)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~>- co UC3~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~c z LLI o ~~~~~~~~~~~~~~~~~~~~~~~~~~~~- L.,..% -—,~ L.o -405 6.- 1.10 1.1 1. 3 1.:: 0.20 0.40 0.60 0.80 ~~~~~~~~1.00.014 CD I-0. 7.... c:)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C: CD %~~~~~~~~~~~~~~.00 0.20 0.40 0.5 a~ 6 09 ~"' 0.8 1.2 1.o 3_', ~'0.00 0.20 0.40 0.60 ~~~~ ~ ~~~~~0.80 1.00 1.20 1:40 ADVAINCE COEFF(J)

FIGURE 15. WAGENINGEN B-SERIES PROPELLERS FOR 2 BLADES RE/AlO= 1.000 P/D=0.50 10 1.40 C3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C LL-~~~~~~~~~~~~~~~~~~~~~~~~~~~L c:3 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~o 1 4 ~ ~ Rc CD 312 0.5 0.6 0.7 0.8 0.~~9 1.0 11 12 13 1 0.20 0.40 ~~~~~0.60 0.80.0 C3 0. 5~~~IDANECOFFJ

FIGURE 16. WAGENINGEN B-SERIES PROPELLERS FOR 2 BLADES AE/RO= 1.050 CDo~~~ ~P/D=0.50 TO 1.40 C3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(' — 122 c2 >-~ - -. " to.c: LII u ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~,, L 1~~~,,. LL (~~~~~~~~~~~~~~~~~~~~~~~~~~~D LL LI I l - —'C)-~ C) IL w L Irr-~~~~~~~~~~~~~~~~~~~~~~~~~H w ~t 1.2... L (I)IN,~~~~~~~LL 0o. CLI':: CDC ~ —- _0. 0. 0. 0.8 0.9 1.0 1.1 1.3 14 — V CEF0.7) 0.6" %,0.00 0.20 0.46., 0.60 0..80 o.1.00 1. 1 z.20 z.3 40 ADVANCE COEFF(J)

FIGURE 17. WAGENINGEN B-SERIES PROPELLERS FOR 3 BLAIDES Fi[/AO= 0.300 P/D=0.50 TO 1.40 C-) >-c LL w: Wc~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. LL c:) 1.2~0.0 6.0.2 14 C) C:3 ~~ ~ ~ DVNE OFFJ

FIGURE 18. WAGENINGEN B-SERIES PROPELLERS FOR 3 BLRDES RE/AO= 0.350 P/D=0.50 TO 1.40 o >-o (c~ w LLI w.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. I ~ ~ I - IC IIl LLo W0 0.50.200.400.660.7 0.80 0.9 1. 1.1 1 1.3 1. CD*.~ CCD 0. 0 ADVANCE6 7 0_ 8 0.9 1.0'OEF 1F( J. 1_4 C,.00 0.20 0. 40 0.00.8 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 19. WAGENINCEN B-SERIES PROPELLERS FOR 3 BLAIDES AE/fAO= 0.400 P/0=0.50 TO 1.40 CD >- co _ __ V —I LL LL CDc 1 C4 101 CL) w,I:~ ~ ~ ~ ~ ~ ~ ~~~~~ h) f-C) C 1.0 ~ ~ ~ 1. CD ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~o c;~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~c C) ~ ~ ~ ~ ~ ~ ~ ~ io \ \ I \ IC F — C —b.00 0.20 0.40 0:60 0.6 0.8 1.0 1.20 1.40 ADVANCE COEFF(J)

FIGURE 20. WACENINGEN B-SERIES PROPELLERS FOR 3 BLADES RE/AlO= 0.450 P/D=0.50 TO 1.40 CD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C CJ5 (9~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~( >- co LL CD ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~C w.~~~. LL~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~L 1 2~~~~~~~311C C3 u~~~~~~~~~~~~~~.2~~~~~~~~~~~~~~~~~~~. C3 0. 8~~~~~~~~~~~~~~~~~~. NJ tD~~C CD 0.40 tL60 0.6 0. 0.8 0.9 1.0 1.1 1.2.3 1.4 i.'00.20 040 600.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 21. WFIGENINGEN B-SERIES PROPELLERS FOR 3 BLADES flE/FAO= 0.500 P/0=0.50 TO 1.40 35 >- co LL C ) —1 ~ 1 33 ULLLO _____ w.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. -I~~~~a (O~~~~~~~~~~~~~~~~~~~~~~~~~~~( cl-l CQ cbOO 0.20 0.40 0-~J60 0.6 0.7 0.8 0. 1.0. 1. 1.3 1.4 ADVANCE COEFF(J)

FIGURE 22. WF1CENINGEN B-SERIES PROPELLERS FOR 3 BLADES AE/FIO= 0.550 P/D=0.50 10 1.40 CZ:)~~~~~~~~~~~~~~~~~~~~~~~~~cL cn CD~~C >- co ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~o CD~~~~~~~~~~~~~~~~~~~~~~~~~~~c CD~~~~~~~~~~~~~~~~~~~~~~~~~~~H 00 ~~~~~02.00.006 068..01.2014 C)~~~~~~~DACECEFJ

FIGURE 23. WFGENINGEN B-SERIES PROPELLERS FOR 3 BLADES AE/AO= 0.600,=, P/D=0.50 TO 1.40 C3 cD,. > —C u~~~~~~~~~~~~~~ LLICD L.4 Ne"~ ~ ~~~~~~~~~~.5 06 07 08 0.... 1.3 14_ LL 1.2 ~ ~ 0 00.00.01.01.2014 LL OA LL cS: /-.Li CZ) C_ I o.5 06 07 O 0.9 CZ).1 12 1..'b~oo 0.004.008010.014 F —~~~~~~ADAC CO —(

FIGURE 24. WAGENINGEN B-SERIES PROPELLERS FOR 3 BLADES RE/AO= 0.650 P/D=0.50 TO 1.40 c;~~~~~~~~~~~~~~~~~~~~~~~~~~~c LLL H~~~~~~~~~~~~~~ 0 C~) LL "'.~ LL) 6 001.00 LLAV L~~~~~~~i,~ ~ ~ ~ ~ ~ ~ ~ ~. 0.00Z0Z0).0 11 1.. o'='0 0;2 0.4 0.0.0.n.2 14 ( —) ~ ~ ~ ~ ~ ADAC COEFFZ)

FIGURE 25. WAGENINOEN B-SERIES PROPELLERS FOR 3 BLADES AE/fAO= 0.700 P/D=0.50 TO 1.40 C3 CD >- co U6 ~ ~ ~~ ~~~~~~~~~~~~~~~~~~~~~~~H LL 1.02.4. 064 07080 09.0'.01.40 LLA LL c: 1.0 CD u 0. 8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~I Wd ~\ I L.3 I 9 0 8~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~L CZ)*.zLL 0. 7 - w~~~~~~~. r~~~~~~~. c:32 \. c:3\\I I \b\ ~ i.00.00 4 0 06 -..8.. 10010. 12 12 1. a4. cn C~~~~~~oADANE CEF(J

FIGURE 26. WAGENINGEN B-SERIES PROPELLERS FOR 3 BLADES RE/RO= 0.-750 P/D=0.50 10 1.40 >- co M cJ~uc3 w w~~~~~1 LL 1.3~~~~~~~~~~~~~~~~~~o L~~~~~~~~~~~~~~~~~~~~~~~c 1.2~~~~~~~~~~~~~~~~~~~~~~~~H F-5 I IC:02 04 06f0.01.012014 LJJ ~ ~ ~ ~ ~ ~ DACECEFJ

FIGURE 27. WFIAGENINGEN B-SERIES PROPELLERS FOR 3 BLADES AE/AO= 0.800 or~ 1 ~~~P/D=0.50 TO 1.40 >-o __ _ _ _ _ ___ _ _ _ _ __ _ _ _ _ C) >- Go o c:; LL W LLO L\II~X Y vc~ Wc:; ~LL 1.J LL 1.2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ IL o bJ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~c t~~~~~~~~~~~~~~~~~~~~~~~~~~~~ — 1.0 i,,,,, C_ LL LLI L~o 00Z:) 0. o LLI'~,c 9 (-C0 0) 0 cn ~ ~ ~ ~ ~ ~~fDAC COEFF(J > I~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~I0') CZ:: 0~~~~~~~~~~~ 0 o~~ o 0.5 10.6 0. 7 0.8 0. 1.1 1.2 1.3 1.4 %=0.00 0.20 0.40 0.60 0.81 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 28. WFIGENINGEN B-SERIES PROPELLERS FOR 3 BLADES FIE/AO= 0.850 P/D=0.50 TO 1.40 >-oo __ _ cn ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 3 (4 cD~_ c UC3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C_)c;.................3c3 Lo 2~~~~r LLJ C~~~~~~~~~~~~~~~~~~~~~~~~~~~~-)'110 0.20 0.006 08.0.014 LLA OEFJ 7LL ~~Ai.tj.. oZZ ~: 0., LLJ~ ~~"'," "~c r. ~ ~',. 1.0.,OC c ~ o.5'O.-6,0. 7 _ 0. 8 0.9 \1 0.1.2 cr>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~,, ~. 7 0 0~~~~~~~~~~. ~~~~~~~~~~0.5 ). 0.7 jIj 0_9_ II f] 1_ C~b~o. 0,20 0.40 0.60 O0.8 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 29. WROENINGEN B-SERIES PROPELLERS FOR 3 B3LAD[S FI[/fO= 0.900 CD ~~~~~~P/D=0.50 TO 1.40 CD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C:35 >- co~~~~~~~~~~~~~~~~~~~~~~~~~cZ u C:;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~t uJ C::;~~~DVNE OFFJ

FIGURE 30. WFIGENINGEN B-SERIES PROPELLERS FOR 3 BLADES AE/1O= 0.950 P/D=0.50 TO 1.40 CD C CD~ >-co_ LI cL FCZ)~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~C Li 4 CD C:) ~~~ ~ DVNE OFFJ uLc~ (O~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ LL-I ~II9 C3~~~~~~~~~~~~~~~~~~~~~~~~~~~~. LL I I\ I I I L0. 0. 09 0. L 2 13. C,.0 0200.0.6 0801.0.2 14 ADVANCE COEFF(J)~~~~1.

FIGURE 31. WAGENINGEN B-SERIES PROPELLERS FOR 3 BLADES fE/AO= 1.000 oC)~~~ ~P/D=0.50 TO 1.40 C) >-CC) (35 u ~ ~ ~ ~ ~ ~ ~ LJL ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~L,,_. "l...... LJL cC CZ) LLI 4L LL LL- c:3 1.2 ~~I ~~T715(~~~~ I \I 1\ \1~~~~:.4O CD I c3 ~~~~~~ 1.3~~~~~~~~~~~~~~~~~~~. LLi.,0.20.0.40. 060 0.7 0o 9 lio 1 120 1.40 ADVAC 0C O~~~~~~~~~~~~~~~~~~~~, ^~ J., l.00 0.20 0.40 0.~60 o.7 0 o.. 1.40 ADVANCE 1.O1.40 ADVA~\gE COEFF d)

FIGURE 32. WAGENINGEN B-SERIES PROPELLERS FOR 3 BLADES [E/AO= 1.050 P/D=0.50 TO 1.40 CD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C C3) CD~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~~~~c >- co ~D 10.4 0.6 8 1.00 1.20 I LL 1RD C F CD c:) 0 W 0. 5 0.6 0.7 0.9 1. I., I M - 1.3 C,.0.0.0.0 08 1.00.014 ADVANCE COEFF(J

FIGURE 33. WAGENINGEN B-SERIES PROPELLERS FOR 4 BLADES AE/AO= 0.300 P/D=0.50 TO 1.40 CD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C c:,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ >- Go LLI (-) HI LL~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~,, LL~ _ _ _ _ _ _....' LL_ LUd L CLL 1.3 4 __ ~~~~~~~~~~~L.3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ LLI 2 bJ~~~I I ~~ t -t — /1 \ (_..) u 0~~.2.006008.0.014 LLJ ~c~ ~ —~ I I I 1 \AVAC LCOFFJ L —o ~hC/7 R3s —I\ olo Z)I\Ic 0. 9 LLI~`6 ~ 0 0. 7 0 6 0. 05 0.0 0. 7 0.8 0.9 I 1 —' —23 i.00 020 0.40 0. 0 0.80 1.00 1.20 1.40 ADVANCE COEFF)

FIGURE 3q. WAGENINGEN B-SERIES PROPELLERS FOR 4 BLADES AE/AO= 0.350 P/D=0.50 TO 1.40 CDc, > —co C-) c LLI LL CD 0 3 ", LL~ NLL LL IL CD cz3 0 ~ ~.1 C 0.8~~~~~~~~~~~i; i~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~...0 -:D~~~~~~~~~~~~~~~~~~~~~~~~~~~H LL - _ 1 / ELIr CL o F=2-1~:::7C~~ I/ ~ \I 0LLI~ - --—'-" —---- L~~//r3 — ~, lo \ o C: Ht~ ~ ~ ~ ~ ~ ~~~'rf — cL~~ e\. c:D T0 06:::A COEF(J c:: 0.5 0.6.7 0.8 0.9 1.0 1.1 12' 13' 1.A 4 b.0 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 35. WAGENINGEN B-SERIES PROPELLERS FOR 4 BLADES f[E/AO= 0.400 P/D=0.50 TO 1.40 (95 LL! LL Lj-~~~~~~~~~~~~~~~I CI w.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. LL I~~~~~~~~~~~~~~~~~~~~~~~~~~~~ — LL cD ] -) CA C) ~.~~~~~0 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~I —O 0~~~~~~~~~~~~~~~. 00708 69 10....'.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40' ADVANCE COEFF(J)

FIGURE 36. WAGENINGEN B-SERIES PROPELLERS FOR 4 BLADES AE/AO= 0.450 P/D=0.50 TO 1.40 Ca) o~ co LL ~ 4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (~LL ) CD0 00.9 1 0.60 0.80. 10 0~~ ~ ~ ~ ~ ~~DAC COEF(J 0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~-7-c;3'::~.00 0.20 0. 40 0.60 0.80 1.00 1.20 1.40'= ADVANCE COEFF(J)

FIGURE 37. WAGENINCEN B-SERIES PROPELLERS FOR 4 BLADES AE/AO= 0.500 P/D=0.50 TO 1.40 CD L.L ol CD,, LL~ w-.''JJ~~~~r,_ c:; LL CD co F — 6 0.5 0L6 0. 0.8 0. 1.0 1.1 1.2 1.3 000.80 1.00 1.20 1.40 ADVANCE COEFF(J

FIGURE 38. WFIGENINGEN B-SERIES PROPELLERS FOR 4 BLRDES iE/rO= 0.550 P/D=0.50 TO 1.40 (C3 C-) _- co Z W ~~~~~~~~~~~~~~~~~~~~~~~~~1.2. L1 (_7D~~~~~~~~~~~~~~~~~~~~~~D J~~~~r C_ 9L (I)~~~~~~~~I'. I i o~~~~~~~~~~. 5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1. 3 1.4 ADVANCE COEFF(J) Lbo oo )~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ —1 o~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ o ~~~~~~~~~~~~~~~~~~~~0506.7.8 091.0 1L 1. 1.3 1. 4 Ci ~~~~~~~~~DRC COEF(J

FIGURE 39. WAGENINGEN B-SERIES PROPELLERS FOR 4 BLADES AE/NO= 0.600 P/D=0.50 TO 1.40 C) >-~ Go. FH LL 1.4 LL C) 0. a~~~~~~~~~~~~~~~~~~~~~~~~C C) E 05 0.6 o. 7 0. 8 0.9. 1 12 114 C,0.-0 0.20 0.40 50.60 0.80 1.00 1 120 1.21..ADVANCE COEFF(J)

FIGURE 4O. WAGENINGEN B-SERIES PROPELLERS FOR 4 BLADES AE/RO= 0.650,=, P/D=0.50 TO 1.40 cLL c::)~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~~~~~~~~c 0" ~ ~ -0 H~~~~~~~~~~~~~~ H -- LL I IYIC2 LL~ O'"" LL CC) 1.3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. F-cS.2 ( 1 I LLIL 4.4~~~~~~~~~~~~~~~~~~~~~~~ LL _LL LL o~ o0ZD LL'~.~C 0 0.. 0 0.9 u ~ ~ 02 04.00.80.012014 ADVANCE COEFF(J) t -— ~ ~ ~ II I — ~ CO~~~~1.O CD rr' I —6,. {::2) o::b.00 0.20 0.40 0.60'.8 1.00 1.20 140:: ADVANCE COEFF(J)

FIGURE 4i. WAGENINGEN B-SERIES PROPELLERS FOR 4 BLADES RE/RO= 0.700 P/D=0.50 TO 1.40 (J5 C3 t — 3 w coc LL c. U:) 3. 1.2 H-c~~~~~~~~~~~~~~~~~~~~~~~~~~~~, LL SSh I L.0 0 0.9 0 ADVC C C) c::3I\ II u 8~~~~~~~~~~~~~~~~~. C=3~~~~~~~~~~~~~~2 c~~~~~~~~~~~~~~4 cn 0. CO ~ aL 1 4~~~~~~~~~~~0....9 1. 12 1. i.0.2 04 0600.0.0.2 14 -ADVANCE COEFFU

FIGURE 42. WAGENINGEN B-SERIES PROPELLERS FOR 4 BLFADES HE/RO= 0.750 P/D=0.50 TO 1.40 CD' C-)~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~~~~~~~~C ~ C~ >-~..... LLI H c LL 1. 4 Li CZ3 w.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. 03 H (_) L~ld ~ I \ \1.2 1.0L L 09LL UJ C) \ s\ ) o~ LL0 1.0 1.::D 0.~ - -1 _i~/ ~ CL<~X0.4 0 0,8 1 1 1.40 D-C c:5~~~~~~~~~~~~, cn CD 0 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~o' CD,, 0 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 C~ %.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 43. WAGENINGEN B-SERIES PROPELLERS FOR 4 BLADES RE/AO= 0.800 o:3 P/D=0.50 TO 1.40 C3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C C3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ >-~ co CD LL01.0 ADVANCECOEFF(J- ) kO ~ "-"! I — 0~~~~~~~~~~~~~~~~~ 0 "-~. -. L LL LL CD~~~~~~~~~~~~~~~~~~~~~~~~~~.C CO rr'~~~~~~~~~~~~~~0 06 0...0 11 12 1.. -T-~,0.006 08.0.014 t —c; ~ ~ ~ ~ AVAC OEFJ

FIGURE 44. WAGENINGEN B-SERIES PROPELLERS FOR 4 BLADES AE/AO= 0.850 P/D=0.50 TO 1.40 >- c >_.~ LLI C I 3aC w. 4. LL 1 0 C c:R,. LL I'~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~LLI O 0 O C3~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~F 0.20 0.40 o~~0.5 0.6 0.7 0.8 09 1.0 1.1 1.2 1.3 1.4C 0.2050.40 0.,60 0.80 1.00 1.20 1.40.0ADVANCE COEFF(J) 1 L ~~~~-, ~DVNC COEFF(J) ~

FIGURE 45. WFICENINOEN B-SERIES PROPELLERS FOR 4 BLAIDES RE/flO= 0.900 P/D=0.50 10 1.40 C35.4 ~ ~ e~ LL 3~~~~~~~~~~~~~~~~~~~L (10~~~~~~~~~~~~~~~~~~~~ 2~~~~ UL H~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. 0.9~ ~ ~ ~ ~.8~ ~ ~ ~ ~ ~~~~~o CD C:)~~~~~~~~~~~~~~~~~~J c:)~~~~~~~~~~~~~~~~~~~~~~~~~c 0. 5'0,6 0. 7 0. 8 0. 9 1.0 1.1 1.2 1.3 1.4 _ C$.'oo 0.20 0.40 0.60 0.80 1.00 1.20 1.40 FIADVFANCE COEFF(J)

FIGURE 46. WAGENINGEN B-SERIES PROPELLERS FOR 4 BLADES FE/AO= 0.950 P/D=0.50 TO 1.40 c=3 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~J CD~ ~~~ ~~~~~~~~~~~~~~~~~~~~~~~E (_) cSl ('-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~c) F-, LL CD - t~ L ( __) 4'~ %9C ul 2 ~~~~~~~~~~~~ 5 06 07...0 11 121.3 14 uT.O.2.4 06 08 1. 00.014 ADVANCEDCOEFF(): -, co~~~~~~~~~~~~~~~~n~ ~' "8~ CD~~~~~~~~~~~~~~~~~~~~~~~~~~~'011 ~213 1 4 C.0. 004 N.b08 N1.0. 814 ~~~~~~~~FDACE OFF

FIGURE 47. WFGENINGEN B-SERIES PROPELLERS FOR 4 BLADES FE/RO= 1.000 P/D=0.50 TO 1.40 o o ( CZc,,.. I l l 1 >-M H - LL DVNCE COEFF(J 1.3 9, C0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

F ItGURE 48. WFGENINGEN B-SERIES PROPELLERS FOR 4 BLADES AE/AO= 1.050 o3 P/D=0.50 TO 1.40 CD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~( > - co _ _ _ _ _ _ _ _ _ _ _ _ (u) cJ 1 w LL~~~~~~~~~~~~~~~~~~~~~~~~~~~~c'- CZ) CZ3 ~. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. I~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~NI. ~o 009 ~~~~~~~~~~~~ Or) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~2 CYD C:)~~~~ ~ ~~~~~.. 0 0.6'C:) C,0.00 0.20 0.40 0.60 0 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 419. WFIGENINGEN B-SERIES PROPELLERS FOR 5 BLADES RE/RO= 0.300 P/D=0.50 TO 1.40 (c >- co HLLJ C)-~ LL LL C=: II 0l CD C3 cLJE cn~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~H 0.20 04 06 08 1 ADVANCE COEFF(J)

FIGURE 50. WAGENINGEN B-SERIES PROPELLERS FOR 5 BLADES AE/AO= 0.350 P/D=0.50 TO 1.40 >-,o Z; w LJL C ) LL LL~ _____ Wc::z;L o', I — C_) LL W 0o~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~0 WCD coD9 0 2,~~~~~~~~~.8 co.00 0.20 0.40 0.60 0.8001.00 1.2 1.43 ADVANCE COEFF(J)

FIGURE 51. WAGENINGEN B-SERIES PROPELLERS FOR 5 BLADES RE/AO= 0.400 o P/D=0.50 TO 1.40 o C:.... 1a' C-) H ~, "'""" CD LL w._) u ~~~~~~~~~~~~~~ HLL C 0.00 ~ 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 52. WAGENINOEN B-SERIES PROPELLERS FOR 5 BLADES RE/FAO= 0.450 P/D=0.50 TO 1.40 C3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~( >- co__ _ _ LL LL 1.4~~~~~~~~~~~~~~~~~~L c~~~~~~~~~~~~~~~~~~~~~~.3~~~~L OD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~c LL L co 1.0~~~~~~~~~~~~~~~~~~o CD 7E c ~ ~ ~ ~ ~ ~ DVNE OFFJ

FIGURE 53. WAGENINGEN B-SERIES PROPELLERS FOR 5 BLADES AE/AO= 0.500,:=, P/D=0.50 TO 1.40 CDc ELI HI CD H- co 1.2 LL~ IL LL w 0~~~~~~.00.008.0012014 I —~~~~~~ADAC COEF(J ",,r c_) 1 Zf) C:D CD 0. 5 0.6 0. 7 0. 8 0.9 o 10 1.2 1.3 1.4 d`0. a o 0~20 0.40 0o008 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 5'i. WFIGENINGEN B-SERIES PROPELLERS FOR 5 BLADES RE/AlO= 0.550 P/D0tL50 TO 1.40 C:c C-)CZ u~~~~~~~~~~~~~~ C:3 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~3 wll~ ~~~~~~~~~~~~ CD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~0.60~~~~~~~~~~. LL ~ ~ ~ ~ ~ ~~DACECEFJ

FIGURE 55. WAGENINGEN B-SERIES PROPELLERS FOR 5 BLADES AE/AO= 0.600 o3 P/D=0.50 TO 1.40 Ca5 >- co LL _ ~H C_)~ ~~ ~~~~~~~~~~~~~~~~~~~~~~~C wL LLI 4 Ljj ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~n 1.2 LLo ) O_),. 0.9 ~ r ~~~~~~~~~~~~~~~~~~~~~~~~~~~~CDD: I~~~~~~~~~~~~~~~~~~~~~~~~~~~~ — o.5 %.00 0 20 ~~~~~~~0.40 o.o 6 0.6 07 0. 8 0.9.12 3 14 C, 0.20 0.40 0~.,60 0.60.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 56. WROENINOEN B-SERIES PROPELLERS FOR 5 BLFWES RE/AO= 0.650 P/D=0.50 TO 1.40 C-) >- co LL LL c) 1.3 nIc WIR- -- -- -d.4 c:) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~n 1.2N Lj- ~ ~ ~ ~ ~ ~ == cz LLui 9L2~aI\10iI L o 0.. 0.80 1.00 12 1 ADVANCE COEFF(J)

FIGURE 57. WAGENINGEN B-SERIES PROPELLERS FOR 5 BLRDES RE/AO= 0.700 P/D=0.50 TO 1.40 o o3 C]......... C.. C_)c;.. Z LJL HI _ 1.4 1 5 06 0.. 10111.3.14 LA).o.004.00I010.01 0 —-I "' wLL C ~~~~~~~~~~~~~~~~~~~~~~~~~~~~LLL:. "~~~~~~~~~~~~~~ L~~~~o ~''-~ ~~~~~~~~~~~~co'D LI-14 - 1. — — ~ I —1 C') D C3 -(L8~~~~~~~= C)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~: 0.5 0.6 0.7 0.'8 0. 1.0 1.1 1.2 1. 1.4 ~.o 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 58. WRGENINGEN B-SERIES PROPELLERS FOR 5 BLRDES AE/RO= 0.750,:::, P/D=0.50 TO 1.40 >-.co _....... ( — 1.4, LL wlq- A~~~~~~~~~~~~ CD~~~~~~~~~~~~~~~~~~~~~~~~~~~C.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~LLJc3. I~~~~~~~~~~~~~~~~ W~ cnD~ C) C -rO~~~~~~~~~~~~~~~~~~~~~~~~~~10 1.20 0. 5 0.6 0.7 0.8 8 0.9 1.0 1.1 1.2 1.3 1.4 __'lij.oo 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 59. WAGENINGEN B-SERIES PROPELLERS FOR 5 BLADES AE/AO= 0.800 P/D=0.50 TO 1.40 CD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C r,. ___:.... LLC w.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. ul H I. —f.4 H-.1.00. 1.40 LL COE FLF -) CD o' 9 N"~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~N C:D 0 5 0.6 007 0.8 0.9 1.0 1.1 1.2 1.3 1.4.o0 0.20 0.40 0.60L 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 60. WFICENINGEN B-SERIES PROPELLERS FOR 5 BLADES RE/RO= 0.850 P/D=0.50 TO 1.40 C3d u 1. (,dl I I I I ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~~~I 0 a LL 9 LL c s \. CI CD w~~~~~~~~~~~~~~~~~~~~~~ (O~~~~~~~~~~~~~~~~~~~~~~~~~~~E C3 FC:)~ ~ ~ ~ ~ ~~~~~~~~~~~~~~~~~~C LL ~ ~ ~~~X X /~~~~0.5.7 0. 0.9 1.012 1.. C,0. 0.20 0.40 0666 0.,80 1.00. 11.20 1.40 ADVANCE COEFF(J)

FIGURE 61. WFIGENINGEN B-SERIES'PROPELLERS FOR 5 BLADES RE/FAO= 0.900 P10=0.50 TO 1.40 cn ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~N C:)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~U-3 c:3 LL_ a)~~~~~~~~~~5 6 0 0.8 0.a..... u 0~~.2 006008.0.014 0 ~ AVNECEFJ

FIGURE 62. WROENINGEN B-SERIES PROPELLERS FOR 5 BLADES AE/FIO= 0.850 P/D=0.50 TO 1.40 (c:3 LJL ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~~~cL 0'i cD C)~CDC= 0.5 06 0.7 0.8 0.9 1.0 11 1.2 1.3 1.4 C,0.00 0.20 0.40 0.00.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 63. WFIGENINGEN B-SERIES PROPELLERS FOR 5 BLADES RE/AO= 1,000 P/D=0.50 TO 1.40 c) 3 t- oc:z LLJ 4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ LLLL c)'.0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. C7 3 LL ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~~~~~~~~L UJ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~L (r.3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. u~~~~~~~~~~~~~~ /1~~~~~~~~~~~~~~~~~~~~~. -1-;c C:3,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~cc FH-5 0. 5 06 0.7 0. 8 0.9 1.0 1.1 1.2 1.3 1.4 C,0.00 0.20 ~0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 6q. WFAGENINGEN B-SERIES PROPELLERS FOR 5 BLADES AE/AO= 1.050 or~ 1 ~~~P/D=0.50 TO 1.40 CD5 >- co c w..4 LLI w LL CD CO ~. 1.4 W~~~~~~~~~~~~q - ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ H FDVRNC. C~ EF ILL I ~c~~~ ~ LLs o --- 009 0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~..2 L~~~~~~~i,,~~~~~~~~~~~~~~~~. a0 ZZ) (n\j ~ -~ r,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ).5 CD ~ ~ ~ ~ ~ ~ ~ ~ ~` 0.5 0.6 0.7 0. 8 0.9 1.2 1.3 1.2 1. 4 14 %.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 65. WAGENINGEN B-SERIES PROPELLERS FOR 6 BLA1DES FIE/AO= 0.300 P/D=0.50 10 1,40 CD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C CD) LL~ w.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. 1.1 ~ ~ ~ ~ ~ J LL W. c:) 0.6~~~~~~~~~~~~~~~~~~~~~~~~H (f) c~~h~o 0.20 0.40 ~ 0. 60 0.6 0. 7 0. 8 0.9. 1.3 1.4 C~~b~oo 0.20 0.40 0.60 ~~~0.80 1.0012014 ADVANCE COEFF(J

FIGURE 66. WAGENINGEN B-SERIES PROPELLERS FOR 6 BLADES AE/AO= 0.350 P/D=0.50 TO 1.40, o ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~o, CD5 CD >- co HI CD LL CD 1.0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. I- C) 0. 9~~~~~~. ()O ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~~~~~~~~~~~! 4. L LS 0. CT)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ LI`~'2~ 0.6~~~~~~~~~~~~~. 0.0. C) ~C -4~~~~~~~~~~~~~~~~~~~ I —'-i~~~~~~~~~~~~~~~~~~~F C_ I~'",./~ ~ 1~ -b0I o.- 0.5 o 0.6 0.7 0.8 0.9 1.0 1. 1.2 1 1.4 Oa 0.20 0.40 0.60 0.80 1.00 1.20 1.4 ADVANCE COEFF(J)

FIGURE 67. WAGENINGEN B-SERIES PROPELLERS FOR 6 BLADES AE/AO= 0.400 P/D=0.50 TO 1.40 CD)5 CD >- CD HI LL LL CD___ __ _ w.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.,L e CO 1.0 wd,LL~~~~~~~~~~~ LL~~~~~~~~~~~~~~~~~~~~~~~~CLL) ww~~~~ "WI: —. 7 C) C= ).- -- \I lI ( u~~~~~~~~~~~~~~~~~~~~~~~~~~~cc -:D~~~~~~~~~~~~~~~~~~~~~~~~~~~c c:) 0. sr \ \.9LL 0.60. INLb 0.00 0.20 0.40 0.60 00 1.00 1.20 1.40 ADVANCE COEFF(J) I~ LLI \ FCc 09-'j~~r- O IT ) c LL LLI 4 PTe \ I~~~~~~~~~~~~~~~~~~~~I —cb~bo0:200:40,60 d~'"-"!,..'. ~~~~~~~1.00.'7 14 [.6 ~ ~ ~ ~ ~ FlV\C -OFFJ

FIGURE 68. WAGENINGEN B-SERIES PROPELLERS FOR 6 BLADES AE/AO= 0.450 _II~~~ ~P/D=0.50 TO 1.40 w HI CD) HI ~~~~~~~~~~~ ~~~~~~~~~cJW >- 00 0~~~~~~~~~~~~~~ (__) H' — CD LL 1.4 LL ~ ~t LLJ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~LL CD' ~ ~ ~~~LLI I I~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ — W.2 \ 1u3 --- 1.._1 co c O~~~~~~~~~~c~ ~ ~ ~ ~ ~ ~ ~ ~ H-o 14. C~ 0.8. 1 u 0. 5 0. 6 0:-7 O.8 0.9 1.0 1 1.2 1. 3 1.4 r C0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVRNCE COEFF(J)

FIGURE 69. WAGENINGEN B-SERIES PROPELLERS FOR 6 BLRDES RE/AO= 0.500 CD J ~~~P/D=0.50 TO 1.40 C3 Oq C_) cD Z LL4 H] (_.2 t- 00~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ H]'LL Cf) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~C LLg _ _ _ C w.~~~0 LLc3.'L 01~~~~~~~0 I~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~"'N' I.~ (-( d -— I~~" 1-~Y -. IoL LU cD~ 0.8 0.9 1.0 1. 1.2 1.' ~ 14 z~~~~i~~~~ —~~o s0.60o o ] 1.0012 L.002040060.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 70. WAGENINGEN B-SERIES PROPELLERS FOR 6 BLADES AE/AO= 0.550 P/D=0.50 TO 1,40 co 0 CD >-w c (_ c:;...c Z ~~~~~~~~~~~~~~~~~~~~~~~~~~~C3) w.~~~~. LL CZ) CD CZ)~~~~~~~~~~~~~~~~~~~~~~~~~~C C3 0_20_0.40.0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 71. WFCENINGEN B-SERIES PROPELLERS FOR 6 BLADES RE/RO= 0.600 P/D=0.50 TO 1.40 c:~ CD, >-cn CD5 w LL (D~~~~~~~~~~~~~~~~~~~~~~~~~~(. -1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. 0~~~~~~~~~~~~~~~~~~~~~~~. LL 0 Ll- CD~~~~~~~~~~~~~~~~~~~~~~~~~~C i. ~ ~ ~ ~ ~ ~ ~ ~ ~. cq ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~c c:3~~~~~~~~~~~~~~~~~~~~~~~~~~~c C3 too 0.20 0.40 0-60 0.80 1.00 ADVANCE COEFF(J

FIGURE 72. WAGENINGEN B-SERIES PROPELLERS FOR 6 BLRDES RE/RO= 0.650 P/D=0.50 TO 1.40 c~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~c 0 1.4._I III'IC > —o _...... _ _ _.... _ _ _( D.. w LLU D'~~~L CAW a H 0.0 1.0.4 IL CO:FF(LL LL ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~cW 0 9~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ c~~~~~~~~~~~~~~~~~~~j~~~~~~~cZ CD; N-10.5 0 6 0.7 0.8 0.9 1.0 1.1 1.2 1.' 1.4 d.oo 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 73. WFIGENINGEN B-SERIES PROPELLERS FOR 6 BLRDES RE/AO= 0.700 P/D=0.50 TO 1.40 CDCXI >-co_ CZ Fl 8-I — II- a LL] w01.4 LL OZ LLJO'1L CD c:; u -'I/ wLL CO~~~~~~~~~~~~~~~~~~~~~~~~~~~~E Wczi C) I CE 0 I — 0~ CD CE crc~~~~~~~~~~~~~~~~~~~~~~~~~~~lr 0.5 06 07 08 0.9 1.0 1. 1.2 1-.3 1.4 i1].00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVNCE COEFF(J) ~~~~~~~~~~~~~~~o.100 L,.o "~1 2 ADVANC COEFF(J)

FIGURE 74. WRAGENINGEN B-SERIES PROPELLERS FOR 6 BLADES RE/RO= 0.750 C3 P/D=0.50 TO 1.40 o >- co,_,_,_.. (JD 5E( w.. 2__~~~~~~~~~~~~~~~~~~ o~~~~-~ z~~~~~~~~~~~~~~ LL C F LLI0~~~~~~~u. 0:3 0 0 — c:3 -o7,: %.00 ~~~~~~~~~~~~~~~~~~~~~0.2004 0.6 0.'7 O. 8 0.9 1.0 1.1 1. 2 1.3 14 C,0.00 0.20 0.40 0.60 ~~~~ ~~0.80 1.00 1.20 1.40 AIDVANCE COEFF(J)

FIGURE 75. WAGENINGEN B-SERIES PROPELLERS FOR 6 BLFIDES AE/AO= 0.800 P/D=0.50 TO 1.40 z rC3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C >- co 1.4 LL W LL O 1.2 ( c ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~D 1c3 I LL LLI~ Ll-~~~~~~~~~~~~~~~~ oc3H HCO ZZ- c) 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 14 i.00 G0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 76. WAGENINGEN B-SERIES PROPELLERS FOR 6 BLRDES RE/RO= 0.850 P/D=0.50 TO 1.40 o >- co Lw~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ w 00 t1 — I - ~o~~~oo~0.20 0.40 0~.6d 0.80 1.00 ~1.2014 LL. LZZ 0.0 %.00 0.20 0. 4006 8 104

FIGURE 71. WFIGENINGEN B-SERIES PROPELLERS FOR 6 BLADES PE/FIO= 0.900 P/D=0.50 TO 1.40 C3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C >- co cD Q~u CD 2~~~~~~~~~~~~~~~~~~c 00 C) uj F-~ ~ ~ ~~ ~~~~~~~~~~~~~~~~~~~~~~~~H LL~~~~~~~~~~~~05 06 07 08 0...... 0.004006.8.01.014 0.~ ~ ~ ~~DVNECEFJ

FIGURE 78. WRGENINGEN B-SERIES PROPELLERS FOR 6 BLRDES RE/RO= 0.950 P/D=0.50 TO 1.40 o -- co C-)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(~ D~ ~ L CD 1'.2 CD.oo 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J) 0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.4 a~~~~~~~~~~~~~~~. 0. o.7 0.a 09.1 12 1l. OO~~~~0.004 06.010.014 — ~ ~ ~ ~~ AVAC'COEF.

FIGURE 79. WROENINOEN B-SERIES PROPELLERS FOR 6 BLADES RE/FIO= 1.000 P/D=O.50 TO 1.40 C)c >-co IJ1 14) w wt. LJL c 0.4~~~~H 03 ~~~ CC.0 0.'0.00 ~0.20 0.40 0.60 0.80 091.00 ~ 1.20 12.31.401. ADVANCE COEFF(J)

FIGURE 80. WFiGENINGEN B-SERIES PROPELLERS FOR 6 BLADES RE/AO= 1.050 _o~~~ ~~P/D=0.50 TO 1.40.. C, cm > —co _P::..... I,::;I i C-) LLC'ID 1__ _ _ _ _ H~~~~~~~~~~~~~~ H -.. CD CZ;D C u —.4',,',' ~~ ~ ~ ~~1.3 3 LL ooI0 1 1 1.2 1I3 1L~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. LL a LtJ LL o ooZZ) LL "*. oC ( —) ~t~~~~~~~~~~~~~~~~~~~~~~~~~~~~-. C0~o 0.004.5 Od,.010.014 C.80 1.0 1. 2 0 1.4 0.5///////AVANE OEF(J

FIGURE 81. WACENINOEN B-SERIES PROPELLERS FOR'7 BLRDES FIE/FIO= 0.300 c~~~~l ~~P/D=0.50 10 1.40 >-co __ _ _ C) _L ccD CI-) C3~~~~~~~~~~~~~ C,0.00 0.20 ~0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 82. WAGENINGEN B-SERIES PROPELLERS FOR 7 BLRDES RE/AO= 0.350 oa~ 1 ~~~P/D=0.50 TO 1.40 CD5 C3 >- ao C3 LL ~~~~~~~~~~~~D ~~~~~~~~~~~~~~~~~~~~~~1.4 w.H~~~1. LL c:3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~:L cn W~c_ HOC) C-C)CZ)1. H — FA-DVANCE COEFF(J) I~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ LL Ig II t~3X — ~~~~~~~~~~~~.: L~ —-~ o 0.5 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ c\\ \~~~~~~~~~~~~~~~~~~~~~~~~~~ —~1\'=b.OO 0.20 0.40 0.60 0.80 1.OO 1.20 1.40. o ADVANCE COEFF(J)

FIGURE 83. WAGENINGEN B-SERIES PROPELLERS FOR 7 BLADES RE/AO= 0.400,=,co~~ ~P/D=0.50 TO 1.40 CD5 w~~~~~~~~~~~~~~~~~~~ o -] C) Z w LL~~~~~~~~~~~~~~~~~~~~~~~~~~~~C_) H~~~~~~~~~~~~~~ ~~~~~~~~ —1 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~F LL O4 300 1.'-'LL o 0.2 04 LL.6 cD COFFJ I~ LL 1 LL c:D LLJ 0 5~~~~~~~~~~~~~~~~~~~~~~L LLI'. DO.'; C:3C -II V —=, F —//S/ \\'\ \ ZD,I 0 " ~ O 0. 5 0.6 0. 7- 0.8 0. 9 1.3 1.4 %b.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 8.4- WAGENINGEN B-SERIES PROPELLERS FOR 7 BLADES RE/AO= 0.450 P/D=0.50 TO 1.40 o Co..... C, J,, <',~~~~~~~~-.- I > — co... H_ C.) LL CD___ w. cJW. CD~~~~~~~~~~~~~~~~~~~~~~~~~~~G ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~LL I I~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ — LL'3 9L L:o D C F 0. 5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1. 3 1.4~~~~~~ti.~~ ~~~~~~ ~~~~~0.6 0.20 0.40 0.60 1.0 1.10 1.20 1.3140 AIDVANCE COEFF(J

FIGURE 85. WAGENINGEN B-SERIES PROPELLERS FOR 7 BLADES RE/RO= 0.500 C:: P/D=0.50 TO 1.40 o cD 04 CD5 w > —co CD) HI,B LLI wc~~~~~~.'.0 w~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. LL C)~~~~~~~DAC COFF3 H-3 CD~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~c CD cD U)C 0 ~~~~~~~~~~~0. 5 0.6 0. 7 0. 8 0.-9 1.0 1.1 1.2 1.3 1.4 _'0.00 0.20 ~0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 86. WAGENINGEN B-SERIES PROPELLERS FOR 7 BLADES A E/AO= 0.550 P/D=0.50 TO 1.40 CD5 -' co LL LL 0__ w. ~~~~~~~~~~~~~~~~~_ LL c' ~~~~~~~~~~~~~co;D CO - — 0.~ rr-~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~~~~~H Co3 CD 0 6 0.5 0.6 0. 7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 CGh.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVRNCE COEFF(J)

FIGURE 87. WFGENINGEN B-SERIES PROPELLERS FOR 7 BLADES AE/AO= 0.600 CD P/D=0.50 TO 1.40 CD5 LAJ cD- c,, u~~~~~~~~~~~~~~ CD 1.2 LL 0DN L:) H: I —~~~~~~ADAC COF)J

FIGURE 88. WAGENINGEN B-SERIES PROPELLERS FOR 7 BLADES PE/AO= 0.650 P/D=0.50 TO 1.40 C:) CD LL LL 33 ~~~~~~~~~~~~~1~~~~~~~~ ~ ~~.4 4 W ~~~~~~~~~~~~~~~~~~~~~~~~~~~~1.2 _ w.~~~~. 1.0 ~ ~ ~ ~ ~ ~ ~ J IJ_ 0~~~~~~~~~~~~~~~~~~~~~.9 ~ LLo w 114: ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ CO c:3 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ o CZ),0 400.5 0.6 0.'7 0.8 0.9 1.0 1.1 1.2 1.3 1.4':boo 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 89. WAGENINGEN B-SERIES PROPELLERS FOR 7 BLADES AE/AO= 0.700 CD P/D=0.50 TO 1.40 CD C >- c LL. (o_______.....c Ld~~~~~~~~~~~~~~~~~~~~~~~~~~~L (I' ~(I 11 C_) H ~ - ~ 0.20 0 40 0.60' 0.80 ~~~~~~~~~1.00 LCAV CE J u~ I~~~~~~ —i C) I ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~. 0.7 0....... Li.00 0000000E0S)01012014 0~~~~~~~~DAC COS)(

FIGURE 90. WAGENINGEN B-SERIES PROPELLERS FOR -7 BLADES AE/AO= 0.750,::, P/D=0.50 TO 1.40, C) >o~ LLI H~~~~~~~~~~~~~~ LL W i ~~LLI I — co 0. cDj -.Q 6~~~~~~~~~~~~~~~~~~~~~~~~~H': CD~ C,0.00 0.20 0.40 ~~~0. 5 0. 6 0.7 0. 8 0.9 1.0 1.1 1.2 1.3 1.4 _ 0.20 0.40 ~~~0.60 0.80 1.00 1.20 1.40 RDVANCE COEFF(J)

FIGURE 91. WACENINGEN B-SERIES PROPELLERS FOR 7 BLADES RE/RO= 0.800 _o~~~ ~~P/D=0.50 TO 1.40 o C3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C >-co LL 4 w.~~~~~~~~~~~~~~~~~~~~~~~~~. H~~~~~~~~~~~~~~ LL C3 LL W C) CSL ~0~~~~~~ LL Io I- I o Q 5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4'0.oo 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 92. WROENINOEN B-SERIES PROPELLERS FOR -7 BLADES AE/AO= 0,850 P/D=0.50 10 1.40 C-) w.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. IL L CD CN~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C 0.5 0.6 0. 7 08 0.9 1.0 1.1 1.2 1.3 1. C,0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 ADVANCE COEFF(J)

FIGURE 93. WAGENINOEN B-SERIES PROPELLERS FOR -7 BLADES FIE/RO= 0.900 CD ~~~~~~P/O=0.50 TO 1.40 CD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C L:) w~~~~~~~~~~~~~~~~~. ~ ~ ~ ~ ~ ~ ~. 0 ~~~~~~~~0. 0.60. 0. 09 10 11 12 1314 0.004006.8.01.014 C=:) C ~ ~ ~ ~ DVRCE OEF(J

FIGURE 94. WRGENINGEN B-SERIES PROPELLERS FOR 7 BLFIDES RE/AO= 0.950 Co-3~~~ ~P/D=0.50 TO 1.40 >-co u~~~~~~~~~~~~~~ LLI3\ 3 H~~~~~~~~~~~~~~ 0 cc~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.94 O~~~~~~~~~~~~~ LLj._ -- -., LL, CD -,..,.. LLI 5 0.6 0.7 0.8a 0.9 1.0 1. 1 1.2 1.3 1.4',b.o 0.20 0.40 0.60 1.20 1.40 ADVANCE COEFF(J) o~-.....' ~~0.9 I —. I4,~~~~~~~~~~~~~~~~~~~~~~~~~~~'' 1, C 0. 0.0O 40_ o. s 0.6 0.8 1.0 1.2 1.40 0,6 ~~5~JQADVANC COEFF(J

FIGURE 95. WFGENINGEN B-SERIES PROPELLERS FOR 7 BLADES FAE/AO= 1.000 C3 I ~~P/D=0.50 TO 1.40 OI C-) >- CC) (_c:)c3c H C~I B LLJ ~H (_3LL-2~~~~~~~~~~~~~~~~~~~~~~~LLD C F LLJ CLI~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ LLJ p LLJ~~~~LJ O - -) O.2 1 9 cr- CD~~~~1, CO3 n-'~~~~~~~~~~~~~~~~~~~~~~~~~~~ 0.6 0.7 0.9 1.1 1.2 1.3 1.4 %.00 0.20 0.40 o~s 0.60 0 1.40 ADVANCE COEFF(J)

FIGURE 96. WROENINOEN B-SERIES PROPELLERS FOR 7 BLFADES FRE/AO= 1.050 C3 ~~~~~~P/D=O.50 TO 1,40 CD~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~C C-) LL ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ L F-J~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~F LL ~ ~ ~.004006.. 10.014 1,0 ~ ~ ~ ~ RVICECEFJ

UNIVERSITY OF MICHIGAN 3 9015 02229 2968