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The Quarterly Journal of Mechanics and Applied Mathematics 1958 11(3):290-301; doi:10.1093/qjmam/11.3.290
© 1958 by Oxford University Press
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AN APPROXIMATION TO THE BOUNDARY LAYER FLOW ALONG AN EDGE

L. SOWERBY

( Department of Theoretical Mechanics, University of Bristol )

The steady flow of viscous incompressible fluid past an infinite flat quarter plate is considered, one edge of the plate being parallel to the main stream. Boundary layer equations are derived in a system of parabolic coordinates, and expansions in series provide a set of ordinary differential equations to determine the flow near this edge of the plate. An iterative procedure is described to solve these equations; the approximations thus obtained indicate a decrease from the normal flat-plate value in the thickness of the boundary layer at the edge, and there is a singularity in the density of the skin friction at the edge. Both of these effects were predicted in previous investigations on a related problem.


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