For fully-developed laminar flow through a pipe with ra- dius R, the fluid velocity is very accurately modeled as V = (Ur, Ug, U₂) = (0,0,u₂), with the axial component of velocity given by U₂ (r) = Uc = uc [1 − (7)²], - MF "c where ue is the fluid speed at the center of the pipe, r = 0. Compare the momentum flux for the laminar flow velocity distribution, uz (r), with that for a uniform How having (constant) speed uave = Uc/2, recalling that the momentum flux through a control surface is given by pV (V - ñ) dA. Ө Answer: |MF|lam = |MF|ave

For fully-developed laminar flow through a pipe with ra- dius R, the fluid velocity is very accurately modeled as V = (Ur, Ug, U₂) = (0,0,u₂), with the axial component of velocity given by U₂ (r) = Uc = uc [1 − (7)²], - MF "c where ue is the fluid speed at the center of the pipe, r = 0. Compare the momentum flux for the laminar flow velocity distribution, uz (r), with that for a uniform How having (constant) speed uave = Uc/2, recalling that the momentum flux through a control surface is given by pV (V - ñ) dA. Ө Answer: |MF|lam = |MF|ave

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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