A NOTE ON HYPERBOLIC HEAT-CONDUCTION IN A RIGID SOLID

Two hyperbolic heat conduction theories which predict a finite speed o f propagation of thermal effects are considered. Numerical results obt ained from these theories are presented for a one spatial dimension bo undary-initial value problem, which involves transient heat conduction in a rigid half space. These results are compared with results from t he classical theory, which predicts an infinite speed of propagation o f thermal effects. It is shown that, for the problem considered, resul ts from the three theories are very similar at times which are large c ompared to the relaxation time of the hyperbolic theories.