Answered: Fully developed region Q Film fl P 12…

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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Question

Consider a viscous film of liquid draining uniformly down the side of a vertical rod of radius a, as in the figure below. At some distance down the rod the film will approach a terminal or fully developed draining flow of constant outer radius b, with ?_? =?_?(?), ?_? =?_? =0. Assume that the atmosphere offers no shear resistance to the film motion. Derive a differential equation for ?_? and solve for the film velocity distribution. How does the film radius b relate to the total film volume flow rate Q?

一
Fully
developed
region
Film
u
P
工
·a-
-b-
提
Pa
He ≈ 0

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