Question

A high velocity water jet of cross section area = 0.01 m2 and velocity = 35 m/s enters a pipe filled with stagnant water. The diameter of the pipe is 0.32 m. This high velocity water jet entrains additional water from the pipe and the total water leaves the pipe with a velocity 6m/s as shown in the figure. The flow rate of entrained water is _____________ liters/s (round off to two decimal places).

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Answer :

Correct answer is : 132.55

Diameter of pipe (do) = 0.32 m, Vo = 6 m/s, Ai = 0.01 m2, Vi = 35 m/s

Q̇ + AiVi = AoVo

Q̇ =  ( π d o 2 4 × V o ) - AiVi

Q̇ =  { π 4 × ( 0.32 ) 2 × 6 } - (0.01 × 35) = 0.13255 m3/s

Q̇ = 132.55 ltr/s [∵ 1 m3 = 103 ltr]

∴ The total water that leaves the pipe is 132.55 ltr/s.

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