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Insulating circular rugs
Published online by Cambridge University Press: 17 February 2009
Abstract
A thin, partially insulating circular rug is placed on a uniform half space up through which a steady heat flow passes. The corresponding dual integral equations are solved using Tranter's method, finite Legendre transforms and Mellin-Bames contour integrals. An untabulated Bessel (or Stieltjes) transform similar to the discontinuous WeberSchafheitlin integral is evaluated, and a simple expression derived for the rug's surface temperature.
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- Research Article
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- Copyright © Australian Mathematical Society 1983
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