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General study of a heat transmission problem of a channel-gas flow with Neumann-type thermal boundary conditions

Published online by Cambridge University Press:  24 October 2008

V. P. Tyagi
V. P. Tyagi
Affiliation:
Mathematics Department, Indian Institute of Technology, Kanpur, India
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Abstract

In this paper a fundamental problem of thermal transport in a channel-gas flow has been studied. The most general solution in terms of integral formulae has been obtained when the duct is bounded by an arbitrary closed contour, the prescribed normal temperature gradient at the wall varies arbitrarily along the periphery, and the specified additional heat generation varies in an arbitrary manner from point to point in a cross-section. The power series solution is also discussed, and is given in a separate section. One of the objects of the present study is to look forward to the qualitative as well as quantitative effects of viscous dissipation and work of compression. Several results and all the graphs of Tao ((13)) have also been corrected.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 3 , July 1966 , pp. 555 - 573
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

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