IJPAM: Volume 83, No. 2 (2013)
BY AN INHOMOGENEITY
Department of Mathematics
Michael Okpara University of Agriculture
Umudike, P.M.B. 7267, Umuahia 440001, Abia State, NIGERIA
Abstract. The perturbation of a temperature field by an inhomogeneity is investigated using the method of potentials. The remarkable features of this method include its independence of the coordinate system in which a problem is posed and a reduction of mathematical labour. It is shown that the method of potentials reduces the problem of steady heat flow past an arbitrarily- shaped body to the solution of an integral equation. In the special case of an ellipsoid in a linear temperature field, the problem is reduced to the solution of a mere algebraic equation.
Received: August 13, 2012
AMS Subject Classification: 31B30
Key Words and Phrases: potential method, temperature, ellipsoidal inhomogeneity
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DOI: 10.12732/ijpam.v83i2.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395