Recall that the transverse velocity for Poiseuille flow is Ap u(r) = 4µL + cị Inr+ c2, 0 < r < R, where Ap/L is the (constant) pressure gradient, u is the dynamic viscosity, and L is the length of the tube. Since the solution can't blow up at r = 0, c¡ = 0, and c, is determined by the no-slip condition u(R) = 0. Integrating the resulting solution over the cross- section of the tube gives the flux TR* 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 Ap u(r) = 4µL + cị Inr+ c2, 0 < r < R, where Ap/L is the (constant) pressure gradient, u is the dynamic viscosity, and L is the length of the tube. Since the solution can't blow up at r = 0, c¡ = 0, and c, is determined by the no-slip condition u(R) = 0. Integrating the resulting solution over the cross- section of the tube gives the flux TR* 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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