Derive the relation (Hagen-Poiseulle Law) for the head loss due to friction in Laminar flow case in pipes. Also prove that mean velocity Vis half of the maximum velocity for laminar flow case. Hint: consider a fluid element at a distance r' from the center of the pipe. Let 'd' be its thickness and 'dA' be its area.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.4P: 5.4 Evaluate the Stanton number for flow over a tube from the following data: , , , , .
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1. Derive the relation (Hagen-Poiseulle Law) for the
head loss due to friction in Laminar flow case in
pipes. Also prove that mean velocity Vis half of the
maximum velocity for laminar flow case.
Hint: consider a fluid element at a distance r' from
the center of the pipe. Let 'd' be its thickness and
'dA'be its area.
Transcribed Image Text:1. Derive the relation (Hagen-Poiseulle Law) for the head loss due to friction in Laminar flow case in pipes. Also prove that mean velocity Vis half of the maximum velocity for laminar flow case. Hint: consider a fluid element at a distance r' from the center of the pipe. Let 'd' be its thickness and 'dA'be its area.
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