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GATE ME 2016 Set 3 — Question 23

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NAT+1 / -0EasyContinuity & Momentum EquationsFluid Kinematics & DynamicsFluid Mechanics

Fluid Mechanics → Fluid Kinematics & Dynamics → Continuity & Momentum Equations

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Question

A channel of width 450 mm450\text{ mm} branches into two sub-channels having width 300 mm300\text{ mm} and 200 mm200\text{ mm} as shown in figure. If the volumetric flow rate (taking unit depth) of an incompressible flow through the main channel is 0.9 m3/s0.9\text{ m}^3/\text{s} and the velocity in the sub-channel of width 200 mm200\text{ mm} is 3 m/s3\text{ m}/\text{s}, the velocity in the sub-channel of width 300 mm300\text{ mm} is _____________ m/s.
Assume both inlet and outlet to be at the same elevation.
diagram of branching channels showing main channel of width 450 mm and flow rate 0.9 m³/s branching into two sub-channels of widths 300 mm and 200 mm, with the 200 mm channel having a velocity of 3 m/s
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