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Theoretical considerations of the temperature distribution in a channel bounded by two co-axial circular pipes

Published online by Cambridge University Press:  24 October 2008

Krishna Lal
Krishna Lal
Affiliation:
Engineering College, Vasanasi, India
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Extract

Solutions for the temperature distribution in a circular pipe have been given by various authors, notably Gretz, Nusselt, Goldstein; all these are cited in (1), section 266. I have already considered in one paper the temperature distribution in a circular pipe when viscous incompressible fluid is flowing through the pipe and rate of heat addition is an oscillatory function of time. In this paper expressions for the temperature distributions are derived when viscous incompressible fluid is flowing through the channel, the dissipation due to friction is neglected and the rate of heat addition is an exponential function of time. From the engineering point of view this situation has some importance.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 3 , July 1964 , pp. 653 - 656
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1) Goldstein, S. Modern development in fluid dynamics, Vol. II (Oxford, 1938).Google Scholar
(2) Lighthill, M. J. Theoretical considerations on free convections in tubes. Quart. J. Mech. Appl. Math. 6 (1953), 398–439.CrossRefGoogle Scholar
(3) Pai, Shih-I Viscous flow theory. I. Laminar flow (Van Nostrand; 1956).Google Scholar
(4) Watson, G. N. Theory of Bessel functions (Cambridge, 1922).Google Scholar