# 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)
• Published : 2005.12.25

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