A family of laminar boundary layers along a semi-infinite flat plate

© 1997 The Japan Society of Fluid Mechanics and IOP Publishing Ltd
, , Citation L Todd 1997 Fluid Dyn. Res. 19 235 DOI 10.1016/S0169-5983(97)00038-5

1873-7005/19/4/235

Abstract

A new similarity solution is obtained for flow of a uniform stream past an aligned, semi-infinite flat plate. The fluid is incompressible, of constant density, and constant absolute viscosity. A detailed examination is made of flows involving steady rates of accretion and of ablation at the leading edge. Both the classical Blasius boundary layer and the Rayleigh-Stokes shear layer are encompassed, each representing a different extreme case of the similarity solution. In contrast to the accretion case, only relatively small rates of ablation can be tolerated and there is a qualitative change in the boundary-layer solutions.

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10.1016/S0169-5983(97)00038-5