For laminar flow of Newtonian fluids through a circular pipe, for a given pressure drop and length & diameter of pipe, the velocity of fluid is proportional to (where, μ = fluid viscosity ) ?
Correct answer: B. 1/μ
- A. μ
- B. 1/μ
- C. √μ
- D. 1/√μ
Explanation
For laminar flow in a circular pipe, Hagen–Poiseuille’s relation gives velocity proportional to the pressure gradient divided by viscosity, so velocity varies as 1/μ. Increasing viscosity therefore reduces the velocity for the same pressure drop.
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