Several Intensive Steel Quenching Models for Rectangular Samples

摘要

In this paper we develop mathematical models for I-D, 2-D and 3-D hyperbolic heat equations and construct their analytical solutions for the determination of the initial heat flux for rectangular samples. Some solutions of time inverse problems are obtained in the form of 1st kind Fredholm integral equation, but others has been obtained in closed analytical form. They generalize our previous I -D and 2-D cylindrical mathematical models for intensive steel quenching processes, described by the hyperbolic heat equation.