Cooling of an infinite slab in a two-fluid medium

Bera, RK and Chakrabarti, A (1992) Cooling of an infinite slab in a two-fluid medium. In: Journal of the Australian Mathematical Society - Applied Mathematics, 33 . pp. 474-485.

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Abstract

A mixed boundary-valued problem associated with the diffusion equation, that involves the physical problem of cooling of an infinite slab in a two-fluid medium, is solved completely by using the Wiener-Hopf technique. An analytical solution is derived for the temperature distribution at the quench fronts being created by two different layers of cold fluids having different cooling abilities moving on the upper surface of the slab at constant speed. Simple expressions are derived for the values of the sputtering temperatures of the slab at the points of contact with the respective layers, assuming one layer of the fluid to be of finite extent and the other of infinite extent. The main problem is solved through a three-part Wiener - Hopf problem of a special type, and the numerical results under certain special circumstances are obtained and presented in the form of a table.

Item Type:	Journal Article
Publication:	Journal of the Australian Mathematical Society - Applied Mathematics
Publisher:	Austrlian Mathematics Publ Assoc
Additional Information:	Copyright of this article belongs to Austrlian Mathematics Publ Assoc.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	25 Jan 2011 05:39
Last Modified:	25 Jan 2011 05:39
URI:	http://eprints.iisc.ac.in/id/eprint/35155

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