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International Heat Transfer Conference 10

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

AN INTEGRAL FORMULATION FOR A RADIATING CYLINDER WITH A CONTINUOUS HEAT SOURCE

R. Villasenor
ELECTRIC RESEARCH INSTITUTE, Energy Division, Interior Internado Palmira, 62000 Cuemavaca, Mor., MEXICO

P. A. Krutitskii
Faculty of Physics, Moscow State University, Vorobyovy Gory, Moscow, 119899, Russia

DOI: 10.1615/IHTC10.910
pages 445-450

Abstract

The non-singular, non-linear Volterra integral equation of the second kind for the surface temperature of a cylinder with a continuous heat sink is solved numerically by a linear multistep procedure based on the composite formula. The boundary condition is assumed to vary not only as a function of temperature but also as a function of time. A pseudospectral approach is presented as an alternative method of solution to eliminate convergence difficulties for large radiation numbers in the integral equation technique. To verity the numerical efficiency of the integral equation approach and the pseudospectral technique a standard finite difference calculation is also performed.

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