Study of non-stationary heat conduction in a plane plate for symmetric and asymmetric problem

Abstract

In the paper we deal with study of the problems of non-stationary heat conduction in a plane plate. In the first part of paper we formulate mathematic model for the cases of symmetric and asymmetric heating or cooling of a solid plate. In the second part we compute various cases of temperature fields in the plate during the mentioned process by mathematic software Maple. Finally we present formulated mathematic models using for optimization of two real technological operations of natural and synthetic polymers processing - modeling of moulding of plastic material and modeling of temperature field in wall of tanning drum by enzymatic hydrolysis.