GATE AG 2014 • Q22 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

Subtopic: Laminar and turbulent flow in pipes, Darcy–Weisbach and Hazen–Williams equations

Question Statement:

For a fully developed laminar flow through a smooth pipe, the relationship between friction factor (f) and Reynolds number (Re) is

Options:

  • (A) f ∝
  • (B) f ∝
  • (C) f ∝
  • (D) f ∝

Official Answer Key:

B

Step-by-Step Solution & Explanation

For fully developed laminar pipe flow, the Darcy friction factor is given exactly by the Hagen–Poiseuille result f = 64/Re, i.e. f ∝ Re⁻¹. Answer: (B).

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