J Austral Math Soc Ser B 38 pp87--100, 1996.

The sputtering temperature of a cooling cylindrical rod without and with an insulated core in a two-fluid medium

R. K. Bera and A. Chakrabarti

(Received 29 October 1993; revised 22 November 1994)

Abstract

Utilising Jones' method associated with the Wiener-Hopf technique, explicit solutions are obtained for the temperature distributions on the surface of a cylindrical rod without an insulated core as well as that inside a cylindrical rod with an insulated inner core when the rod, in either of the two cases, is allowed to enter, with a uniform speed, into two different layers of fluid with different cooling abilities. Simple expressions are derived for the values of the sputtering temperatures of the rod at the points of entry into the respective layers, assuming the upper layer of the fluid to be of finite depth and the lower of infinite extent. Both the problems are solved through a three-part Wiener-Hopf problem of special type and the numerical results under certain special circumstances are obtained and presented in tabular forms.

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Authors

R. K. Bera: Department of Mathematics, Presidency College, BK-301, Salt Lake City, Calcutta- 700 091, India.
A. Chakrabarti: Department of Applied Mathematics, Indian Institute of Science, Bangalore - 560 012, India.

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Last Modified: Mon Dec 10 14:02:13 2001