GATE ME 2015 Set 2 — Question 51
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Fluid Mechanics → Viscous & Pipe Flow → Parallel Plate & Hagen-Poiseuille
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Question
For a fully developed laminar flow of water (dynamic viscosity ) through a pipe of radius , the axial pressure gradient is . The magnitude of axial velocity (in m/s) at a radial location of is ________
Correct answer
6.2 to 6.3
Solution
For a fully developed laminar flow in a pipe, the axial velocity distribution is given by:Given values:
Dynamic viscosity,
Pipe radius,
Axial pressure gradient,
Radial location, Substituting these values into the velocity equation:The magnitude of the axial velocity is .
Dynamic viscosity,
Pipe radius,
Axial pressure gradient,
Radial location, Substituting these values into the velocity equation:The magnitude of the axial velocity is .
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