GATE ME 2025 Set 1 — Question 44
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Fluid Mechanics → Compressible Flow → Darcy-Weisbach & Moody Diagram
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Question
For a fully-developed pipe flow, which of the following options is/are correct?
Correct answer
(A) For the same maximum velocity, the average velocity is higher in the turbulent regime than that of the laminar regime; (C) For laminar flow, the friction factor is independent of surface roughness
Solution
(A) Correct: In laminar flow, . In turbulent flow, the velocity profile is flatter, and . Thus, for the same , is higher in the turbulent regime.
(B) Incorrect: Compressibility effects are generally considered negligible for Mach numbers less than 0.3.
(C) Correct: For laminar flow in a pipe, the friction factor , which depends only on the Reynolds number and is independent of surface roughness.
(D) Incorrect: Since , the friction factor increases as the Reynolds number decreases.
(B) Incorrect: Compressibility effects are generally considered negligible for Mach numbers less than 0.3.
(C) Correct: For laminar flow in a pipe, the friction factor , which depends only on the Reynolds number and is independent of surface roughness.
(D) Incorrect: Since , the friction factor increases as the Reynolds number decreases.
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