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New Analytical Solution for Solving Steady-State Heat Conduction Problems with Singularities

Abstract : A problem of steady-state heat conduction which presents singularities is solved in this paper by using the conformal mapping method. The principle of this method is based on the Schwarz-Christoffel transformation. The considered problem is a semi-infinite medium with two different isothermal surfaces separated by an adiabatic annular disc. We show that the thermal resistance can be determined without solving the governing equations. We determine a simple and exact expression that provides the thermal resistance as a function of the ratio of annular disc radii.
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Submitted on : Wednesday, February 22, 2017 - 11:16:29 AM
Last modification on : Tuesday, November 19, 2019 - 9:46:25 AM

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  • HAL Id : hal-01473803, version 1

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Najib Laraqi, Eric Monier-Vinard. New Analytical Solution for Solving Steady-State Heat Conduction Problems with Singularities. Thermal Science, VINČA Institute of Nuclear Sciences, 2013, 17 (3), pp.665-672. ⟨hal-01473803⟩

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