Recall that the transverse velocity for Poiseuille flow is Др u(r) + cj In r + c2 , 0 < r < R, 4µL where Ap/L is the (constant) pressure gradient, µ is the dynamic viscosity, and Lis the length of the tube. Since the solution can't blow up at r = 0, c = 0, and c2 is determined by the no-slip condition u(R) = 0. Integrating the resulting solution over the cross-section of the tube gives the flux ARª Ap Qo 8µ L Now imagine that the tube has a central catheter so that -R

Recall that the transverse velocity for Poiseuille flow is Др u(r) + cj In r + c2 , 0 < r < R, 4µL where Ap/L is the (constant) pressure gradient, µ is the dynamic viscosity, and Lis the length of the tube. Since the solution can't blow up at r = 0, c = 0, and c2 is determined by the no-slip condition u(R) = 0. Integrating the resulting solution over the cross-section of the tube gives the flux ARª Ap Qo 8µ L Now imagine that the tube has a central catheter so that -R

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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