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Unformatted text preview: layer grows with distance along
the plate (i.e.
). Using the no-slip condition along the plate (
and vx=U (a constant outside the boundary layer), prove the following statements, using the
conservation of mass for an incompressible fluid:
(a) is everywhere positive for . Solution
For 2-dimensional flow in an incompressible fluid, the conservation of mass yields: When the fluid contacts a solid surface, the no-slip boundary condition results in a fluid
deceleration in the x-direction.
Since Then, Since...
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- Spring '12