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Non-equilibrium theory employing enthalpy-based equation of state for binary solid and porous mixtures

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Abstract

A generalized enthalpy-based equation of state, which includes thermal electron excitations and non-equilibrium thermal energies, is formulated for binary solid and porous mixtures. Our approach gives rise to an extra contribution to mixture volume, in addition to those corresponding to average mixture parameters. This excess term involves the difference of thermal enthalpies of the two components, which depend on their individual temperatures. We propose to use the Hugoniot of the components to compute non-equilibrium temperatures in the mixture. These are then compared with the average temperature obtained from the mixture Hugoniot, thereby giving an estimate of non-equilibrium effects. The Birch–Murnaghan model for the zero-temperature isotherm and a linear thermal model are then used for applying the method to several mixtures, including one porous case. Comparison with experimental data on the pressure–volume Hugoniot and shock speed versus particle speed shows good agreement.

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Acknowledgements

The authors thank the reviewers and editor of Shock Waves for critical reviews and suggestions to improve the presentation of the paper.

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Authors and Affiliations

  1. Bhabha Atomic Research Centre, Mumbai, 400 085, India

    B. Nayak

  2. 304, 31-B-WING, Tilak Nagar, Mumbai, 400 089, India

    S. V. G. Menon

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  1. B. Nayak
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  2. S. V. G. Menon
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Correspondence to S. V. G. Menon.

Additional information

Communicated by D. Ranjan and A. Higgins.

S. V. G. Menon retired from Bhabha Atomic Research Centre, Mumbai.

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Nayak, B., Menon, S.V.G. Non-equilibrium theory employing enthalpy-based equation of state for binary solid and porous mixtures. Shock Waves 28, 141–151 (2018). https://doi.org/10.1007/s00193-017-0717-9

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  • DOI: https://doi.org/10.1007/s00193-017-0717-9

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