In a pipe of length L and of inner radius R, a pressure difference of p is
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Question:
In a pipe of length L and of inner radius R, a pressure difference of Δp is driving the flow of a liquid of density ρ and viscosity μ. With the help of some magical technology, the walls of the pipe are made to move with velocity V in the direction opposite to the liquid motion. Assuming laminar flow and ignoring gravity, derive the expressions for:
(a) Axial velocity u as a function of radius r.
(b) Total flow rate Q.
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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