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An asymptotic solution of the heat conduction equation withspatially varying coefficients is developed for small times.The method followed consists of an application of the Laplacetransformation and use of the Liouville-Green approximationin the subdominant solution of the resulting second-order differentialequation. The approximate solution is inverted by contour integration.The resulting asymptotic expression has a time-dependence identicalto that applying to the case of constant properties providedthat an appropriately averaged value of the thermal diffusivity is used, namely, The error term is of the order of t where is a measure of spatialvariability of the coefficients in the heat equation. 相似文献
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ChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 100 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option. 相似文献
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