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A note on the laminar mixing of two uniform parallel semi-infinite streams

Published online by Cambridge University Press:  29 March 2006

J. B. Klemp
Affiliation:
Department of Chemical Engineering, Stanford University Present address: National Center for Atmospheric Research, Boulder, Colorado.
Andreas Acrivos
Affiliation:
Department of Chemical Engineering, Stanford University

Abstract

According to classical boundary-layer theory, when two uniform parallel streams are brought into contact at large Reynolds number (R) the location of the dividing streamline remains indeterminate to O(R−½) if both streams are subsonic and semi-infinite in extent. It is demonstrated here that this indeterminacy is a fundamental property of such a system which cannot be resolved, as Ting (1959) proposed, by balancing the pressure across the viscous mixing region to higher order in R.

Type
Research Article
Copyright
© 1972 Cambridge University Press

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