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Nearly equilibrium dissociating boundary-layer flows by the method of matched asymptotic expansions

Published online by Cambridge University Press:  28 March 2006

George R. Inger
George R. Inger
Affiliation:
Aerospace Corporation, El Segundo, California
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Abstract

The approach to equilibrium in a non-equilibrium-dissociating boundary-layer flow along a catalytic or non-catalytic surface is treated from the standpoint of a singular perturbation problem, using the method of matched asymptotic expansions. Based on a linearized reaction rate model for a diatomic gas which facilitates closed-form analysis, a uniformly valid solution for the near equilibrium behaviour is obtained as the composite of appropriate outer and inner solutions. It is shown that, under near equilibrium conditions, the primary non-equilibrium effects are buried in a thin sublayer near the body surface that is described by the inner solution. Applications of the theory are made to the calculation of heat transfer and atom concentrations for blunt body stagnation point and high-speed flat-plate flows; the results are in qualitative agreement with the near equilibrium behaviour predicted by numerical solutions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 26 , Issue 4 , December 1966 , pp. 793 - 806
Copyright
© 1966 Cambridge University Press

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