A Numerical-Analytical Approach to the Analysis of Non-Stationary Temperature Fields in Multiply-Connected Solids

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Kushnir, Roman; Solyar, Tetyana

A Numerical-Analytical Approach to the Analysis of Non-Stationary Temperature Fields in Multiply-Connected Solids Journal Article

Mechanics, Materials Science & Engineering, 3 (1), pp. 91-107, 2016, ISSN: 2412-5954.

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Authors: Roman Kushnir, Tetyana Solyar

ABSTRACT. A technique for the analysis of non-stationary temperature fields in multiply connected solids is presented. This technique rests upon the Laplace integral transformation along with the method of boundary-integral equations. The inversion for the Laplace transformation is performed by making use of the well-known general analytical-numerical Prudnikov’s formula, which has been efficiently adopted for solving non-stationary heat-conduction problems to achieve the solution within the controllable accuracy. On this basis, the temperature fields in solids with openings and multiply-connected plates with heat emission are analyzed.

Keywords: integral Laplace transformation, non-stationary temperature fields, multiply connected solids, plate with heat emission

DOI 10.13140/RG.2.1.1167.0165

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