Question

*** please help me with just (f) ***

Velocity components are given for various turbomachines in the sketches. The following information is the same for all of the sketches: outer radius = 300 mm, inner radius = 150 mm, Q = 2 m3/sec, ρ = 1000 kg/m3, and ω = 25 rad/sec. Determine the torque, power, change in head, and reaction for each set of conditions.

(Potter and Wiggert, 1997, Mechanics of Fluid, Prentice-Hall, used with permission) Figure P2.3: Vr 5.3 m/sec V2 6 m/sec 45 45° 45c Vi 3 m/sec Vr, 5.3 m/sec (a) (b) Vr 8.7 m/sec V 3.66 m/sec 80% 30° 30° Vr, 3 m/sec V2 6.1 m/sec (d) (c) Vr 3 m/sec V1 6 m/sec 30° 30° 80° 2=3 m/sec V2 4.33 m/sec (e) (f)

Answer 1

Given thot 300mm 1 2 m2/sec looo ky/m w 25 rad Isec Tou a(Vu- Vu,,) Tovu25us.58 N- M Pouer Tw 63 639.6 W 62.629.6 ku pouer

charge fn head 2メ9.8) 2メ91 head 136 m chage Bacdion, R = I- v,- vi He equiv«bal Pressuve he. d v u,-u R =1-3 29 2 =1 Y,,) [(52sur)x 3- (53 0su).s 2 o0o]メで 24.3 N-M

Power o7. S wlor) LJi ku Pouer charge heod v,. v, R 29 He Toque 3а (Vw $ - VwiY =2x looo Tovgue 297 9S N- M Power Tu 978 98 X 25 Power 4474. 6ru o 74 .5 ku R v,'. v V = 366V-6. RE

avu2x, - Vw,v ) Tovgu lo00 (.7cos30A 3 - o) Tovpue =4s20 65 N- M 1.20 k pouer v R=