Project ForgeFluid Mechanics
Flow Through Pipes
GATE 2014
Medium
In case of a pressure driven laminar flow of a Newtonian fluid of viscosity (μ) through a horizontal circular pipe, the velocity of the fluid is proportional to
- Aμ
- Bμ^0.5
- μ^(−1)
- Dμ^(−0.5)
Explanation
The Hagen-Poiseuille velocity profile is u(r)=(ΔP/(4μL))(R²−r²) — for a fixed pressure drop ΔP, geometry, and length, velocity is inversely proportional to viscosity, i.e. u∝μ^(−1).
Source: GATE CH 2014 (2014)
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