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2012 | OriginalPaper | Chapter

3. Review of Falkner–Skan Transformation for Fluid Laminar Free Convection

Author : De-Yi Shang

Published in: Free Convection Film Flows and Heat Transfer

Publisher: Springer Berlin Heidelberg

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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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previous chapter Basic Conservation Equations for Laminar Free Convection
next chapter New Similarity Analysis Method for Laminar Free Convection Boundary Layer and Film Flows
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Metadata
Title
Review of Falkner–Skan Transformation for Fluid Laminar Free Convection
Author
De-Yi Shang
Copyright Year
2012
Publisher
Springer Berlin Heidelberg
Book
Free Convection Film Flows and Heat Transfer

Print ISBN: 978-3-642-28982-8

Electronic ISBN: 978-3-642-28983-5

Copyright Year: 2012

DOI
https://doi.org/10.1007/978-3-642-28983-5_3

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