(a) The equation which describes the flow speed profile for a 1 v(r)=--((R²-²) Ap 4μ Ax pipe is: wher

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Question 3
(a) The equation which describes the flow speed profile for a viscous fluid in a solid
1 Ap
v(r)=(A) (R²-²)
4μ.
pipe is:
where v(r) is the velocity of the fluid at a distance r from the axis of the pipe, Ap is
the pressure difference between the ends of the pipe (of length Ax and inner radius R)
in which the fluid is moving and is the viscosity of the fluid.
Using the differential form of the continuity equation, do
expression for the flow rate in the tube, Q (i.e., Poiseuille's Law).
(dA)v, derive an
Transcribed Image Text:Question 3 (a) The equation which describes the flow speed profile for a viscous fluid in a solid 1 Ap v(r)=(A) (R²-²) 4μ. pipe is: where v(r) is the velocity of the fluid at a distance r from the axis of the pipe, Ap is the pressure difference between the ends of the pipe (of length Ax and inner radius R) in which the fluid is moving and is the viscosity of the fluid. Using the differential form of the continuity equation, do expression for the flow rate in the tube, Q (i.e., Poiseuille's Law). (dA)v, derive an
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