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Some perturbation solutions in laminar boundary layer theory Part 2. The energy equation

Published online by Cambridge University Press:  28 March 2006

Herbert Fox  and
Paul A. Libby
Herbert Fox
Affiliation:
Polytechnic Institute of Brooklyn
Paul A. Libby
Affiliation:
Polytechnic Institute of Brooklyn
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Abstract

Solutions for two types of problems involving the energy equation for flows with velocities described by the Blasius solution are presented. The first type arises in flows with arbitrary initial distributions of stagnation enthalpy and with surfaces downstream of the initial station either with constant wall enthalpy or with zero heat transfer. Exact solutions in these cases are obtained for constant ρμ, and Prandtl number of unity; they are given in terms of complete orthogonal sets of functions which can be used to obtain first- and higher-order corrections for the effects of variable ρμ, non-unity Prandtl number, and deviations of the velocity field from that described by the Blasius solution.

The second type of problem pertains to flows with power-law descriptions of the wall enthalpy. Again the basic solutions are obtained for Prandtl number of unity and the effect of non-unity Prandtl number is treated as a perturbation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 19 , Issue 3 , July 1964 , pp. 433 - 451
Copyright
© 1964 Cambridge University Press

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