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Title: Complete equation of state for shocked liquid nitrogen: Analytical developments

Abstract

The thermodynamic response of liquid nitrogen has been studied extensively, in part, due to the long-standing interest in the high pressure and high temperature dissociation of shocked molecular nitrogen. Previous equation of state (EOS) developments regarding shocked liquid nitrogen have focused mainly on the use of intermolecular pair potentials in atomistic calculations. Here, we present EOS developments for liquid nitrogen, incorporating analytical models, for use in continuum calculations of the shock compression response. The analytical models, together with available Hugoniot data, were used to extrapolate a low pressure reference EOS for molecular nitrogen [Span, et al., J. Phys. Chem. Ref. Data 29, 1361 (2000)] to high pressures and high temperatures. Using the EOS presented here, the calculated pressures and temperatures for single shock, double shock, and multiple shock compression of liquid nitrogen provide a good match to the measured results over a broad range of P-T space. Our calculations provide the first comparison of EOS developments with recently-measured P-T states under multiple shock compression. The present EOS developments are general and are expected to be useful for other liquids that have low pressure reference EOS information available.

Authors:
ORCiD logo [1];  [1]
  1. Washington State Univ., Pullman, WA (United States). Inst. for Shock Physics
Publication Date:
Research Org.:
Washington State Univ., Pullman, WA (United States). Inst. for Shock Physics
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP)
OSTI Identifier:
1334538
Alternate Identifier(s):
OSTI ID: 1280199
Grant/Contract Number:  
NA0002007
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 145; Journal Issue: 5; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Winey, J. M., and Gupta, Y. M. Complete equation of state for shocked liquid nitrogen: Analytical developments. United States: N. p., 2016. Web. doi:10.1063/1.4959770.
Winey, J. M., & Gupta, Y. M. Complete equation of state for shocked liquid nitrogen: Analytical developments. United States. https://doi.org/10.1063/1.4959770
Winey, J. M., and Gupta, Y. M. Tue . "Complete equation of state for shocked liquid nitrogen: Analytical developments". United States. https://doi.org/10.1063/1.4959770. https://www.osti.gov/servlets/purl/1334538.
@article{osti_1334538,
title = {Complete equation of state for shocked liquid nitrogen: Analytical developments},
author = {Winey, J. M. and Gupta, Y. M.},
abstractNote = {The thermodynamic response of liquid nitrogen has been studied extensively, in part, due to the long-standing interest in the high pressure and high temperature dissociation of shocked molecular nitrogen. Previous equation of state (EOS) developments regarding shocked liquid nitrogen have focused mainly on the use of intermolecular pair potentials in atomistic calculations. Here, we present EOS developments for liquid nitrogen, incorporating analytical models, for use in continuum calculations of the shock compression response. The analytical models, together with available Hugoniot data, were used to extrapolate a low pressure reference EOS for molecular nitrogen [Span, et al., J. Phys. Chem. Ref. Data 29, 1361 (2000)] to high pressures and high temperatures. Using the EOS presented here, the calculated pressures and temperatures for single shock, double shock, and multiple shock compression of liquid nitrogen provide a good match to the measured results over a broad range of P-T space. Our calculations provide the first comparison of EOS developments with recently-measured P-T states under multiple shock compression. The present EOS developments are general and are expected to be useful for other liquids that have low pressure reference EOS information available.},
doi = {10.1063/1.4959770},
journal = {Journal of Chemical Physics},
number = 5,
volume = 145,
place = {United States},
year = {Tue Aug 02 00:00:00 EDT 2016},
month = {Tue Aug 02 00:00:00 EDT 2016}
}

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