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Fluid mechanics i 01(madsg.com)

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2. 3. cgsSI (g)(kg) (cm)(m) (s)(s) (dyn)(N) (K)(K) 4. III (lbm)(slug) (ft)(ft) (s)(s) (lbf) (lbf) (R)(R) 1 slug = 32.2 lbm 5. 6. y U y U 7. cgsSI (Poise) g/cm s Kg/m sSlug/ft s Poisesmkg 10/1 cgsSI (Stoke) cm2/s m2/sft2/s Stokesm 42 10/1 8. 2.5 kg 74 mm . 7*10-3 Ns/m2 . 73.8 mm 150 mm ( ) 9. RTp Tp V V 1 TV p V 10. 2068 MPa 10 atm . 11. () 12. 0)()2( 2 RpR i R pi 2 0)()2()2( 2 RpRR ioi 0)()2(2 2 RpR i R pi 4 13. cos)( D gA D h cos ghAW 14. zgp )()( 00 zzgpp 15. SB FdFdFd dxdydzgdgFd B dgpFd dxdydzk z p j y p i x p Fd S 0 aFd 0 gp zgpg dz dp 16. () 111 )( ghzzgPP ABBA 222 )( ghzzgPP BCCB 1122 ghghPP CA gACA PPP 17. A40 kPaB . mm mm mm d d d 60 80 10 3 2 1 18. ApdFd )(hfp A R ApdF ghpp 0 h gdhpp 0 0 A RR ApdFF dAghpF A R )( 0 19. sinyh dAghpF A R )( 0 sin0 AgyApF cR AydAy A c AghpF cR )( 0 cc ghpp 0 20. A R ypdAFy A R ApdrFdrFr A R xpdAFx dAgyAgyy A c sinsin 2 c A yAdAyy 2 cxx yAIy jyixr jyixr 21. 2 cxxxx AyII c xx c Ay I yy c yx c Ay I xx cxy yAIx 22. (d) . 3m. 23. ApdFd A R ApdF x x A xR ApdF y y A yR ApdF z z A zR ApdF 24. A-B . 2m . 25. ( ) dp=0 dgpFd agp jgiaj y p i x p x xa x p g y p dy y p dx x p dp 0 y p g x p ax 26. ( ) g a dx dy x 2 0 b g ba hhbh x g ba hx g a y xx 2 0 hx g a y x 27. ay 28. U . 29. ( ) dp=0 agp g r dr dz 2 2 r r p g z p dz z p dr r p dp 02 gdzdrr C g r z 2 22 akgk z p e p r e r p r 1 rera 2 1 22 2 h g r z 30. ( ) R A rdzdrV 0 0 2 R drh g r rV 0 1 22 2 2 0 2 hRV 2 1 42 4 Rh g R V g R hh 4 22 01 0 2 2 2 22 h R r g z 31. 32. . D . 33. .2 in 4. 4.5 x 10-5 lb.s/ft2 34. . 35. pA 0.8. 36. 37. 38. 39. 40. 41. 42. ),,( 0 zyx t ),,,( 0 tzyx t 43. 44. 45. N N N=M=1 N=P=V N= =e cv cs AdVd tdt dN cs AdV cv d t 46. cv cs AdVd tdt dM 0 dt dM 0 cv cs AdVd t 0cs AdV 0cs AdV AA QAdV AA mAdV 47. . 2 25.6 rV 48. 0.3 m3/s . 0.05 m2 . 10rad/s 49. 4 .dh/dt 4 . sftV sftV sftV /10 /8 /20 3 2 1 inD inD inD inD 2 5.2 2 3 4 3 2 1 50. 50 ft3/s. A 3 ft/sB . 51. cv cs AdVVdV tdt Pd F dt Pd FAdVVdV t cv cs cv rfcv cs daFAdVVdV t 52. p 53. 54. . 55. V0 . 56. ftlbR sluglbg ftslug x /1708 /2.32 /938.1 3 57. . . 58. 1 m3. 59. V2. N . (Thrust) . 60. .FD=kU2 k=0.92 Ns2/m2.U=10 m/s . 2 /5.13 smarfx 61. . . VAtM AV dt dU 0 2 62. 0 ss AdVdAV ))(()()( dAAdVVdVVAVVAdVu sssssscs s 0 2 2 gdz V d dp s . 2 2 constgz Vp 63. . .h . 2 H h 64. AtM .A . 65. cv cs AdVede t WQE gz V ue 2 2 othershearnormals WWWWW cs nncs nnnormal AdVpvAdVW )( 66. 75 m/s1 kg/s 200 kPa345K125 m/s. 18 kJ/kg .. 67. Title Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Vivamus et magna. Fusce sed sem sed magna suscipit egestas. Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Vivamus et magna. Fusce sed sem sed magna suscipit egestas.