Project ForgeFluid Mechanics
Bernoulli's Equation & Flow
GATE 2021
Medium
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 6 m/s. The flow rate of entrained water is ___ litres/s (round off to two decimal places).
132.55 litres/s(± 2 accepted)
Explanation
Pipe area = π/4×(0.32)² ≈ 0.080425 m². Q_out = 0.080425×6 ≈ 0.48255 m³/s. Q_jet = 0.01×35 = 0.35 m³/s. Q_entrained = Q_out − Q_jet ≈ 0.13255 m³/s = 132.55 litres/s.
Source: GATE ME 2021 Session 2 (ME-2) (2021)
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