Solving fluid dynamic problem, flow through a cylinder, a uniform gradient only applied in z direction, If r is the radial polar co-ordinate, derive the velocity v_z(r) for steady flow at low Reynolds number. The result is about pressure gradient divide by 4 times viscosity and multiply by the difference of square of two distances. Do I need to convert distance into to radial polar co-ordinate in the result? How to consider this result in cylindrical coordinate?

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 5.8P
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Solving fluid dynamic problem, flow through a cylinder, a uniform gradient only applied in z direction, If r is the radial polar co-ordinate, derive the velocity v_z(r) for steady flow at low Reynolds number. The result is about pressure gradient divide by 4 times viscosity and multiply by the difference of square of two distances.

Do I need to convert distance into to radial polar co-ordinate in the result? How to consider this result in cylindrical coordinate?

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