BME259 Problem Set 4 Solutions

This boundary layer grows with distance along the

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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 ) 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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