Journal of the Korean Society for Industrial and Applied Mathematics

  • 제9권2호
  • /
  • Pages.75-82
  • /
  • 2005
  • /
  • 1226-9433(pISSN)
  • /
  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
권호 표지

INVERSE HEAT CONDUCTION PROBLEM IN A THIN CIRCULAR PLATE AND ITS THERMAL DEFLECTION

  • Tikhe, A.K. (Department of Mathematics Late. K. Z. S. Science College) ;
  • Deshmukh, K.C. (Department of Mathematics Post Graduate Department of Mathematics Nagpur University)
  • 발행 : 2005.12.25
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초록

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 $0\;{\leq}\;r\;{\leq}\;a,\;0\;{\leq}\;z\;{\leq}\;h$. The results, obtained in the series form in terms of Bessel's functions, are illustrated numerically.

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