Question

The velocity distribution in laminar boundary layer over a flat plate is assumed as u = a cos (by) + c where a, b and c are constants. Apply the appropriate boundary conditions and determine the velocity distribution law.
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Answer 1

Answer:

This condition states that the velocity of the fluid at the solid surface equals the velocity of that surface. The result of this condition is that a boundary layer is formed in which the relative velocity varies from zero at the wall to the value of the relative velocity at some distance from the wall.The fluid flow outside the boundary layers remains effectively inviscid, whereas that inside the layers is modified by viscosity. It follows that the flow external to the layers is unaffected by the presence of the plate. Hence, the tangential velocity at the outer edge of the boundary layers is .The no-slip condition requires the flow velocity at the surface of a solid object be zero and the fluid temperature be equal to the temperature of the surface. The flow velocity will then increase rapidly within the boundary layer, governed by the boundary layer equations, below.