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The zeros of a function occurring in the solution of the Graetz problem

Part of: Thermodynamics and heat transfer

Published online by Cambridge University Press:  26 February 2010

A. M. J. Davis
A. M. J. Davis
Affiliation:
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT
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Abstract

In the study of heat transfer to fluids flowing in pipes or channels, the inversion of a Fourier transform requires consideration of the zeros of a certain function. The principal contribution here is a proof that these zeros are all real and simple, properties assumed by previous authors.

MSC classification

Secondary: 80A20: Heat and mass transfer, heat flow
Type
Research Article
Information
Mathematika , Volume 21 , Issue 1 , June 1974 , pp. 55 - 63
Copyright
Copyright © University College London 1974

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References

1.Courant, R. and Hilbert, D.. Methods of Mathematical Physics Vol. 1 (English edition: Interscience 1953).Google Scholar
2.Graetz, L.. Ann. d. Phys., 18 (1883), 79–94; Ann. d. Phys., 25 (1885), 337–357.Google Scholar
3.Jones, A. S.. Int. J. Heat Mass Transfer, 14 (1971), 619–623.CrossRefGoogle Scholar
4.Singh, S. N.. Appl. Sci. Res., A7 (1958), 325–340.CrossRefGoogle Scholar
5.Smithies, F.. Integral Equations (Cambridge, 1958).Google Scholar