Answered: hz constant y, v + X, u P.H Belt

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

A belt moves upward at velocity V, dragging a fi lm of
viscous liquid of thickness h , as in Fig. . Near the belt,
the fi lm moves upward due to no slip. At its outer edge, the
fi lm moves downward due to gravity. Assuming that
the only nonzero velocity is υ ( x ), with zero shear stress at
the outer fi lm edge, derive a formula for ( a ) υ ( x ), ( b ) the average velocity V _avg in the fi lm, and ( c ) the velocity V _c for
which there is no net flow either up or down. ( d ) Sketch
υ ( x ) for case ( c ).

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