GATE ME 2021 Set 2 — Question 58
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Fluid Mechanics → Fluid Kinematics & Dynamics → Continuity & Momentum Equations
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Question
A high velocity water jet of cross section area and velocity enters a pipe filled with stagnant water. The diameter of the pipe is . This high velocity water jet entrains additional water from the pipe and the total water leaves the pipe with a velocity as shown in the figure.
The flow rate of entrained water is ________ litres/s (round off to two decimal places).

Correct answer
130 to 134
Solution
From the principle of conservation of mass for incompressible flow:Where:
Now, find the entrained flow rate:Convert to litres/s ():Rounding to two decimal places, the flow rate is litres/s.
Now, find the entrained flow rate:Convert to litres/s ():Rounding to two decimal places, the flow rate is litres/s.
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