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Self-similar viscous incompressible flow along an unbounded corner. (English) Zbl 0894.76017
Summary: The self-similar viscous flow of incompressible fluid along the right-angle unbounded corner with nonzero streamwise pressure gradient is considered. The corner layer equations for this case are derived, and their asymptotic series are analyzed. It is shown that self-similar corner layer equations have two solutions, even at a zero streamwise pressure gradient. The numerical procedure for the integration of corner layer equations is developed, and numerical calculations are performed at several values of power exponent for a streamwise pressure gradient distribution.

MSC:
76D05 Navier-Stokes equations for incompressible viscous fluids
76M20 Finite difference methods applied to problems in fluid mechanics
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