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

L Todd

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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.


PACS

47.15.Cb Laminar boundary layers

47.10.ad Navier-Stokes equations

47.15.St Free shear layers

Subjects

Fluid dynamics

Mathematical physics

Dates

Issue 4 (April 1997)

Received 12 June 1995, revised 17 June 1996, accepted for publication 11 September 1996



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