Abstract

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

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