Propeller Design Assignment Fall 2006 A lifting line code PVL is setup and run for a particular propeller design The input file and resulting design output file are attached The input file gives the operating point specifics as well as the inflow distribution and design chordlength distribution on the propeller The full scale propeller runs on a ship with the following characteristic Diameter 5 m Ship Speed 13 m s RPM 156 Required Propeller thrust 991 5 kN Depth at Prop Centerline 8m Vapor pressure 2500 Pa Water Density 997 kg m3 Axial inflow velocity variation 1 m s The output file shows the non dimensional circulation distribution G induced velocities Flow angles and drag coefficient 1 Find the optimal efficiency for this propeller from Kramer s Diagram Using the data for a NACA a 0 8 meanline and NACA 65A010 Thickness section determine the blade section design at the r R 0 697 radius The max thickness of this section is chosen at to C 0 04 2 Find the lift coefficient for this section as well as the camber ration fo c and proper angle of attack 3 Determine the blade angle and pitch P D for this section 4 Will this section cavitate at this radius under the design operating conditions for this ship Use Brockett diagram to estimate 5 Use the matlab m file vlm m provided to analyze the 2D section at ideal angle of attack Plot the pressure distribution Cp vs chordwise position At what position on the blade would cavitation first occur under these conditions PVL input file 32 NUMBER OF VORTEX PANELS OVER THE RADIUS 10 MAXIMUM ITERATIONS IN WAKE ALIGNMENT 1 HUB IMAGE FLAG 1 YES 0 NO 0 5 HUB VORTEX RADIUS HUB RADIUS 11 NUMBER OF INPUT RADII 5 NUMBER OF BLADES 1 0 ADVANCE COEFFICIENT J BASED ON SHIP SPEED 0 600 DESIRED THRUST COEFFICIENT CT 0 000 HUB UNLOADING FACTOR 0 0 OPTIMUM NO UNLOADING 0 000 TIP UNLOADING FACTOR 1 0 REDUCED LOADING 1 000 CRP SWIRL CANCELLATION FACTOR 1 0 NO CANCELLATION r R c D Cd Va Vs Vt Vs 0 20000 0 17400 0 00800 1 00000 0 00000 0 25000 0 19700 0 00800 1 00000 0 00000 0 30000 0 22900 0 00800 1 00000 0 00000 0 40000 0 27500 0 00800 1 00000 0 00000 0 50000 0 31200 0 00800 1 00000 0 00000 0 60000 0 33700 0 00800 1 00000 0 00000 0 70000 0 34700 0 00800 1 00000 0 00000 0 80000 0 33400 0 00800 1 00000 0 00000 0 90000 0 28000 0 00800 1 00000 0 00000 0 95000 0 24000 0 00800 1 00000 0 00000 1 00000 0 00200 0 00800 1 00000 0 00000 PVL output design for assignment Ct 0 6000 Cp 0 8392 Kt 0 2356 Kq 0 0524 Va Vs 1 0000 Efficiency 0 7150 r R G VA VT UA UT 0 20048 0 012889 1 00000 0 00000 0 05119 0 10192 0 20433 0 012905 1 00000 0 00000 0 05276 0 10307 0 21199 0 012995 1 00000 0 00000 0 05590 0 10527 0 22338 0 013231 1 00000 0 00000 0 06060 0 10830 0 23840 0 013668 1 00000 0 00000 0 06681 0 11187 0 25691 0 014331 1 00000 0 00000 0 07443 0 11565 0 27872 0 015217 1 00000 0 00000 0 08328 0 11929 0 30362 0 016295 1 00000 0 00000 0 09313 0 12245 0 33138 0 017522 1 00000 0 00000 0 10367 0 12490 0 36172 0 018842 1 00000 0 00000 0 11458 0 12645 0 39436 0 020199 1 00000 0 00000 0 12552 0 12706 0 42898 0 021538 1 00000 0 00000 0 13619 0 12674 0 46524 0 022811 1 00000 0 00000 0 14637 0 12559 0 50281 0 023974 1 00000 0 00000 0 15588 0 12376 0 54131 0 024990 1 00000 0 00000 0 16461 0 12139 0 58037 0 025826 1 00000 0 00000 0 17251 0 11866 0 61963 0 026454 1 00000 0 00000 0 17959 0 11570 0 65869 0 026847 1 00000 0 00000 0 18587 0 11264 0 69719 0 026981 1 00000 0 00000 0 19139 0 10959 0 73476 0 026830 1 00000 0 00000 0 19621 0 10661 0 77102 0 026376 1 00000 0 00000 0 20041 0 10376 0 80564 0 025599 1 00000 0 00000 0 20404 0 10110 0 83828 0 024490 1 00000 0 00000 0 20715 0 09865 0 86862 0 023042 1 00000 0 00000 0 20982 0 09643 0 89638 0 021261 1 00000 0 00000 0 21207 0 09445 0 92128 0 019161 1 00000 0 00000 0 21396 0 09271 0 94309 0 016764 1 00000 0 00000 0 21552 0 09123 0 96160 0 014101 1 00000 0 00000 0 21677 0 08999 0 97662 0 011213 1 00000 0 00000 0 21775 0 08901 0 98801 0 008143 1 00000 0 00000 0 21847 0 08827 0 99567 0 004940 1 00000 0 00000 0 21894 0 08778 0 99952 0 001656 1 00000 0 00000 0 21917 0 08754 BETA 57 796 57 303 56 337 54 940 53 168 51 093 48 794 46 353 43 848 41 347 38 909 36 576 34 379 32 336 30 457 28 743 27 190 25 792 24 540 23 423 22 433 21 559 20 793 20 126 19 550 19 060 18 650 18 316 18 052 17 857 17 729 17 665 BETAI 63 334 62 895 62 031 60 770 59 154 57 237 55 078 52 745 50 304 47 820 45 350 42 941 40 631 38 448 36 408 34 522 32 792 31 218 29 795 28 516 27 373 26 359 25 465 24 683 24 006 23 428 22 943 22 546 22 233 22 001 21 848 21 772 Chord D CD 0 17419 0 00800 0 17576 0 00800 0 17890 0 00800 0 18377 0 00800 0 19082 0 00800 0 20106 0 00800 0 21512 0 00800 0 23122 0 00800 0 24637 0 00800 0 26003 0 00800 0 27285 0 00800 0 28614 0 00800 0 29986 0 00800 0 31291 0 00800 0 32415 0 00800 0 33326 0 00800 0 34021 0 00800 0 34487 0 00800 0 34696 0 00800 0 34610 0 00800 0 34147 0 00800 0 33205 0 00800 0 31757 0 00800 0 30007 0 00800 0 28231 0 00800 0 26639 0 00800 0 24822 0 0080 0 22128 0 00800 0 18391 0 00800 0 13812 0 00800 0 08618 0 00800 0 03048 0 00800