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The Quarterly Journal of Mechanics and Applied Mathematics 1965 18(2):231-241; doi:10.1093/qjmam/18.2.231
© 1965 by Oxford University Press
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STEADY THREE-DIMENSIONAL BOUNDARY-LAYER FLOW OF A COMPRESSIBLE FLUID PAST A FLAT PLATE WITH PARABOLIC LEADING EDGE

JOAN TOWNSEND

( Department of Applied Mathematics, University College of Swansea )

Three-dimensional boundary-layer equations are derived in paraboloidal coordinates for the steady flow of a compressible fluid of variable viscosity and unit Prandtl number past an insulated flat plate with parabolic leading edge, when the fluid velocity at infinity is constant and parallel to the axis of the plate. The equations are reduced by a simple coordinate transformation to the equations for a related incompressible flow past the same plate whose solution is known (1). The solution of the compressible flow equations is obtained and found to be valid throughout the flow field away from the leading edge of the plate. Estimations of the effect of compressibility, including allowance for non-unit Prandtl number, on boundary-layer thickness are made.


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