308-17-21

# 308-17-21 - NCSU MAE308 17 Water flows steadily through the...

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NCSU MAE308 17. Water flows steadily through the large tanks shown where h B =2 m. The diameters of the pipes exiting tanks A and B are 0.03 m and 0.05 m, respectively. Neglecting frictional losses, determine the water depth h A . h h A B A B Q (1)=free surface of tank A, (2)=free jet at exit of pipe from tank A, (3)=free surface of tank B, (4)=free jet at exit of pipe from tank B Q 1 = Q 2 = Q 3 = Q 4 BE (3) to (4) 34 f 34 s 4 2 4 4 3 2 3 3 w w gz v 2 1 p gz v 2 1 p + + + + ρ = + + ρ v 4 =[2g(z 3 -z 4 )] 1/2 =[2(9.087)(2)] 1/2 =6.26 m/s 0123 . 0 ) 05 . 0 ( 4 π ) s / m 26 . 6 ( A v Q 2 4 4 = = = m3/s 4 . 17 ) 03 . 0 ( π ) 0123 . 0 ( 4 D π Q 4 A Q v 2 2 2 2 = = = = m/s BE (1) to (2) 12 f 12 s 2 2 2 2 1 2 1 1 w w gz v 2 1 p gz v 2 1 p + + + + ρ = + + ρ 2 2 A v 2 1 gh = , 4 . 15 ) 4 . 17 ( ) 087 . 9 ( 2 1 v g 2 1 h 2 2 2 A = = = m 18. Water flows from a large tank through a large pipe that splits into two smaller pipes as shown. If viscous effects are negligible, determine the flowrate from the tank and the pressure at point (1). Determine the net horizontal force that the pipe and tank exert on the fluid. -1-

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NCSU MAE308 3 m 7 m 0.05 m diameter 0.02 m diameter 3 m 4 m 0.03 m diameter (0)=free surface of fluid, (1)=any location inside the horizontal part of the pipe before it splits (the energy per unit mass is the same at any cross section in this part because there are
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308-17-21 - NCSU MAE308 17 Water flows steadily through the...

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