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

Published online by Cambridge University Press:  17 February 2009

R. K. Bera  and
A. Chakrabarti
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 38 , Issue 1 , July 1996 , pp. 87 - 100
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Bera, R. K. and Chakrabarti, A., “Cooling of a composite slab in a two-fluid medium”, J. Appl. Math. and Phys. (ZAMP) 42 (1991) 943–959.CrossRefGoogle Scholar
[2]Bera, R. K. and Chakrabarti, A., “Cooling of an infinite slab in a two-fluid medium”, J. Austral. Math. Soc. Ser. B 33 (1992) 474–485.CrossRefGoogle Scholar
[3]Caflisch, R. E. and Keller, J. B., “Quench front propagation”, Nuclear Eng. and Design 65 (1981) 97–102.CrossRefGoogle Scholar
[4]Chakrabarti, A., “The sputtering temperature of a cooling cylindrical rod with an insulated core”, Appl. Sci. Res. 43 (1986) 107–113.CrossRefGoogle Scholar
[5]Chakrabarti, A., “Cooling of a composite slab”, Appl. Sci. Res. 43 (1986) 213–225.CrossRefGoogle Scholar
[6]Chakrabarti, A., “A simplified approach to a three-part Wiener-Hopf problem arising in diffraction theory”, Math. Proc. Camb. Phil. Soc. 102 (1987) 371.CrossRefGoogle Scholar
[7]Evans, D. V., “A note on the cooling of a cylinder entering a fluid”, IMA J. Appl. Math. 33 (1984) 49–54.CrossRefGoogle Scholar
[8]Hevine, H., “On a mixed boundary value problem of diffusion type”, Appl. Sci. Res. 39 (1982) 261–276.Google Scholar
[9]Jones, D. S., Electromagnetic theory (Pergamon, London, 1964).Google Scholar
[10]Noble, B., Methods based on the Wiener-Hopf technique (Pergamon, London, 1958).Google Scholar