Flow Through Pipes MCQ with answer and solution

Concept

Pipe Network Analysis

Formula

hf = f × (L / D) × (V² / 2g)

Step-by-step solution

1. Identify that pipe network analysis requires calculating head loss due to friction in pipes. 2. Recall that the Darcy-Weisbach equation (hf = f \* (L / D) \* (V² / 2g)) is the fundamental formula used to determine head loss in pipe flow. 3. Match the concept to Option D.

Explanation

The Darcy-Weisbach equation is used to calculate fluid energy loss due to friction inside pipes. In pipe networks, determining head loss in each pipe section is essential to solve for flow rates and pressures, making this equation the primary basis for analyzing pipe network problems.

Shortcut

Use the mnemonic: "Pipes Flow in Dark Water" — Pipe Networks use Darcy-Weisbach.

Common mistake

A common mistake is selecting Manning’s equation (Option C) by confusing open channel flow equations with closed conduit pipe networks, or choosing Euler/Navier-Stokes equations (Options A & B) by confusing general fluid dynamics equations with pipe head loss formulas.