Abstract
Steady, two-dimensional, incompressible boundary layer equations for a fluid of grade three are derived using a special coordinate system. For the inviscid flow around an arbitrary object, the streamlines are the ψ-coordinates and velocity potential lines are the ψ-coordinates which form an orthogonal curvilinear set of coordinates. The outcome, boundary layer equations, are then shown to be independent of the body shape immersed into the flow. In deriving the boundary layer equations, method of matched asymptotic expansion is used. Then, it is shown that the equations do not have similarity solutions. Finally, the shear stress on the boundary for the coordinate system is also calculated.
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