GATE ME 2014 Set 2 — Question 53
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Fluid Mechanics → Viscous & Pipe Flow → Darcy-Weisbach & Moody Diagram
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Question
Water flows through a diameter and long smooth pipe at an average velocity of . The density and the viscosity of water are and , respectively. Assuming fully-developed flow, the pressure drop (in Pa) in the pipe is _______
Correct answer
6800 to 6900
Solution
To find the pressure drop in the pipe, we first determine the flow regime using the Reynolds number ():Given:
Since , the flow is laminar. For fully developed laminar flow in a pipe, the pressure drop () is given by the Hagen-Poiseuille equation:Given :The calculated pressure drop is , which falls within the accepted range of to .
Since , the flow is laminar. For fully developed laminar flow in a pipe, the pressure drop () is given by the Hagen-Poiseuille equation:Given :The calculated pressure drop is , which falls within the accepted range of to .
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