In an experimental investigation, it is found that the discharge of oil through a pipeline relates to the pressure drop per unit length of the pipeline P, the radius of the pipe r, the density of oil p, the tapering angle 0 and the viscosity of oil µ. Derive the non-dimensional parameters related to this problem (you may use Buckingham's PI theorem)

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 5.9P: When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the...
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In an experimental investigation, it is found that the discharge of oil through a
pipeline relates to the pressure drop per unit length of the pipeline P, the radius of
the pipe r, the density of oil p, the tapering angle 0 and the viscosity of oil µ.
Derive the non-dimensional parameters related to this problem (you may use
Buckingham's PI theorem)
Transcribed Image Text:In an experimental investigation, it is found that the discharge of oil through a pipeline relates to the pressure drop per unit length of the pipeline P, the radius of the pipe r, the density of oil p, the tapering angle 0 and the viscosity of oil µ. Derive the non-dimensional parameters related to this problem (you may use Buckingham's PI theorem)
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