Falkner_Skan_flow

Falkner_Skan_flow - Falkner-Skan Wedge Flows Author: John...

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Falkner-Skan Wedge Flows Author: John M. Cimbala, Penn State University Latest revision: 11 December 2007 1. Introduction In class we found a similarity solution for the laminar flat plate boundary layer, where the potential outer flow was simply U ( x ) = U = constant. It turns out that a similarity solution can be found for some much more general boundary layer problems, even when U ( x ) is not constant. Consider steady, incompressible, two-dimensional, laminar boundary layer flow over some body where the potential outer flow U ( x ) is known . In particular, consider 2-D wedge flows, where U ( x ) follows a power law: () m Ux B x = where B and m are constants. The relationship between exponent m and the wedge angle γ was found previously from potential flow theory. x U ( x ) 2. Similarity Solution We expect a similarity solution since there is no length scale in the problem ; how big or small the observer is does not matter.
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