Question: Consider steady flow in the closed cavity shown in the figure. The bottom and side walls are fixed, while the top surface slides to the

Consider steady flow in the closed cavity shown in the figure. The bottom and side walls are fixed, while the top surface slides to the right at speed

U .

The fluid

-

filled space is relatively narrow, such that

\frac{H}{L} 1 .

This allows the flow in the central part of the cavity

(

away from the end walls

)

to be fully developed.

Determine the fully developed velocity profile,

v_{x} (y) .

Consider steady flow in the closed cavity shown

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