Abstract
In this chapter, the traditional Falkner–Skan type transformation for laminar free convection boundary layer is reviewed. The typical two-dimensional basic conservation equations for laminar free convection boundary layer are taken as example for derivation of the related similarity variables for Falkner–Skan type transformation. By means of the stream function and the procedure with the method of group theory, the similarity intermediate function variable \(f(\eta )\) is induced. Then, the velocity components are transformed to the related functions with the similarity intermediate function variable (\(f\eta )\). On this basis, partial differential momentum equation of the free convection boundary layer is transformed to related ordinary equation. At last, the limitations of the Falkner–Skan type transformation are analyzed in detail.
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© 2012 Springer-Verlag Berlin Heidelberg
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Shang, DY. (2012). Review of Falkner–Skan Transformation for Fluid Laminar Free Convection. In: Free Convection Film Flows and Heat Transfer. Heat and Mass Transfer. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28983-5_3
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DOI: https://doi.org/10.1007/978-3-642-28983-5_3
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