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Review of Falkner-Skan Type Transformation for Laminar Forced Convection Boundary Layer

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Theory of Heat Transfer with Forced Convection Film Flows

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Abstract

In this chapter, the traditional Falkner–Skan-type transformation for laminar forced convection boundary layer is reviewed. The typical two-dimensional basic conservation equations for laminar forced 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 for group theory, the similarity intermediate function variable f(η) is induced. Then, the velocity components are transformed to the related functions with the similarity intermediate function variable f(η). On this basis, partial differential momentum equation of the forced 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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Correspondence to Deyi Shang .

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Shang, D. (2010). Review of Falkner-Skan Type Transformation for Laminar Forced Convection Boundary Layer. In: Theory of Heat Transfer with Forced Convection Film Flows. Heat and Mass Transfer. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12581-2_3

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  • DOI: https://doi.org/10.1007/978-3-642-12581-2_3

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  • Print ISBN: 978-3-642-12580-5

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