Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-15T02:20:49.176Z Has data issue: false hasContentIssue false
  • English
  • Français

On the effect of magneto-thermo-elastic interactions on the cooling process of an infinite circular cylinder

Published online by Cambridge University Press:  24 October 2008

Sachindra Kumar Bakshi
Sachindra Kumar Bakshi
Affiliation:
Department of Mathematics, Ramakrishna Mission Vidyamandira, Belur Math, Howrah, West Bengal, India
Get access Rights & Permissions [Opens in a new window]

Abstract

The paper deals with the problem of investigating the effect of magneto-thermo-elastic interactions on the cooling process of an infinite circular cylinder when its boundary is subjected to a time-decaying temperature. The Hooke–Duhamel law of elasticity, the equation of heat conduction together with the electromagnetic equations of Maxwell supplemented by Ohm's law have been used to solve the problem. It is found that the Laplace transformation serves as an important tool for the solution of the problem.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 1 , January 1970 , pp. 173 - 180
Copyright
Copyright © Cambridge Philosophical Society 1970

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Paria, G.Proc. Cambridge Philos. Soc. 58 (1962), 527.CrossRefGoogle Scholar
(2)Wilson, W.Proc. Cambridge Philos. Soc. 59 (1963), 483.Google Scholar
(3)Nowacki, W.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 10 (1962), 485.Google Scholar
(4)Nowacki, W.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 11 (1963), 1.Google Scholar
(5)Kaliski, S. and Nowacki, W.Internet. J. Engrg. Sci. 1 (1963), 163–175.CrossRefGoogle Scholar
(6)Sinha, D. K.Pure and Applied Geophysics 1 (1964), 53.Google Scholar
(7)Muethy, S. N. J.Sci. Engrg. Res. 10 (1966), 119–127.Google Scholar
(8)Carslaw, H. S. and Jaeger, J. C.Conduction of heat in solids, (Oxford, 1959) p. 302.Google Scholar
(9)Savant, C. J. Jr. Fundamentals of the Laplace transformation (McGraw-Hill, 1962), p. 186.Google Scholar