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On thermal transients with finite wave speeds

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Summary

The linear Gurtin-Pipkin theory of heat conduction is invoked to study the problem of an inhomogeneous half space whose boundary is subjected to step inputs of temperature. A ray series approach is employed to reduce the governing integro-differential equation to a set of differential-difference equations which may be solved. Various general properties of the propagation process are derived in a simple and direct fashion and the solution constructed for particular choices of the heat-flux and energy relaxation functions.

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Authors and Affiliations

  1. Department of Mathematics, University of Alberta, T6G 2G1, Edmonton, Canada

    T. B. Moodie & R. J. Tait

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  1. T. B. Moodie
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  2. R. J. Tait
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Moodie, T.B., Tait, R.J. On thermal transients with finite wave speeds. Acta Mechanica 50, 97–104 (1983). https://doi.org/10.1007/BF01170443

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  • DOI: https://doi.org/10.1007/BF01170443

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