Inverse heat conduction problem in a thin circular plate and its thermal deflection |
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Authors: | AK Tikhe KC Deshmukh |
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Institution: | 1. Department of Mathematics, Late K.Z.S. Science College, Bramhani 441501 (Kalmeshwar), Nagpur, India;2. Department of Mathematics, Post Graduate Department of Mathematics, Nagpur University, Nagpur 440010, India |
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Abstract: | An inverse problem of transient heat conduction in a thin finite circular plate with the given temperature distribution on the interior surface of a thin circular plate being a function of both time and position has been solved with the help of integral transform technique and also determine the thermal deflection on the outer curved surface of a thin circular plate defined as 0 ? r ? a, 0 ? z ? h. The results, obtained in the series form in terms of Bessel’s functions, are illustrated numerically. |
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Keywords: | Quasi-static Transient problem Thermal deflection Inverse problem |
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