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 generalboundary 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: ()mUx Bx=where Band mare constants. The relationship between exponent mand the wedge angle γwas found previously from potential flow theory. xU(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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