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Diffusion and convection of heat in the potential flow past a circular cylinder

Published online by Cambridge University Press:  24 October 2008

E. J. Norminton
E. J. Norminton
Affiliation:
Carleton University, Ottawa
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Extract

The problem of the diffusion and convection of heat from an arbitrarily placed heat source in the potential convection field due to uniform streaming past an infinite circular cylinder is considered. Solutions are obtained for the regions inside and outside the cylinder and are given in terms of Mathieu Functions. An appendix giving the required properties of these functions is included.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 1 , January 1970 , pp. 181 - 193
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Morse, P. M. and Feshbach, H., Methods of theoretical Physics (McGraw Hill, 1953).Google Scholar
(2)Norminton, E. J.Diffusion and Convection of Heat in a Dipole Convection Field, Proc. Cambridge Philos. Soc. 67 (1969), 195.CrossRefGoogle Scholar
(3)McLachlan, N. W., Theory and application of Mathieu functions (Oxford, 1947).Google Scholar
(4)Meixner, J. and Schäfke, F. W.Mathieusche Functionen und Spharoid functionen (Springer-Verlag, 1954).CrossRefGoogle Scholar