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Thermal shock problem in porous orthotropic medium with three-phase-lag model

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Abstract

The present article deals with the thermal shock response in homogeneous orthotropic medium under the purview of three-phase-lag model in the presence of voids. The normal mode analysis is used to obtain a vector matrix differential equation which is then solved by eigenvalue approach. In order to illustrate the analytical developments, the numerical solution is carried out and the results for stress, displacement and temperature are presented graphically. Comparison of stress, displacement and temperature for different thermoelastic models such as Lord–Shulman (LS) and Green–Naghdi-III (GN-III) is observed, and it is noticed that the value of all parameters is maximum for the LS model and minimum for the GN-III model.

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Acknowledgements

Research work of the author is financially supported by University Project Research Grant (Ref No. 1947/R-2019) of University of North Bengal, Darjeeling, India.

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  1. Department of Mathematics, University of North Bengal, Darjeeling, 734013, India

    Siddhartha Biswas

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  1. Siddhartha Biswas
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Biswas, S. Thermal shock problem in porous orthotropic medium with three-phase-lag model. Indian J Phys 95, 289–298 (2021). https://doi.org/10.1007/s12648-020-01703-9

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  • DOI: https://doi.org/10.1007/s12648-020-01703-9

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