THE APPLICATION OF THE NON-FOURIER HEAT CONDUCTION EQUATION

Abstract

An increasing number of publications proposing various modified forms of the heat conduction equation have appeared in the past decades. Most of them belong to hyperbolic type differential equations (HDE) instead of the traditional parabolic type Fourier equation (PDE). In spite of the hight number of papers, part of which are dealing with the solution of the modified equations, there is no method to decide which form of the heat conduction equation should be used in given engineering applications. There is no definite answer to the question what the validity region of PDE is, where the switch over to modified forms can be reasonable. The situation is confusing partly due to the lack of reliable experimental verifica- tion of theoretical conclusions, as well as due to the non-matured technique of handling the hyperbolic and other types of equations for solving practical problems.