GATE AG 2008 • Q38 MCQ • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

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

Question Statement:

In the Moody diagram, the third parameter is ε/D. Here, ε is

Options:

  • (A) the equivalent uniform sand grain roughness
  • (B) an arbitrarily chosen roughness magnitude
  • (C) median size in a non-uniform sand grain roughness
  • (D) mean height of the actual roughness of commercial pipes

Official Answer Key:

A

Step-by-Step Solution & Explanation

ε is Nikuradse's equivalent sand-grain roughness — the roughness height of uniform sand grains that would produce the same friction factor as the actual (commercial) pipe surface; it is used to non-dimensionalise as relative roughness ε/D on the Moody chart.

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