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Equation of State for Bismuth at High Energy Densities

Author

Listed:
  • Konstantin V. Khishchenko

    (Joint Institute for High Temperatures of the Russian Academy of Sciences, Izhorskaya 13 Bldg 2, 125412 Moscow, Russia
    Landau Phystech School of Physics and Research, Moscow Institute of Physics and Technology, Institutskiy Pereulok 9, 141701 Dolgoprudny, Moscow Region, Russia
    Department of Computational Mechanics, South Ural State University, Prospekt Lenina 76, 454080 Chelyabinsk, Russia
    Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry of the Russian Academy of Sciences, Prospekt Akademika Semenova 1, 142432 Chernogolovka, Moscow Region, Russia)

Abstract

The purpose of this work is to describe the thermodynamic properties of bismuth in a broad scope of mechanical and thermal effects. A model of the equation of state in a closed form of the functional relationship between pressure, specific volume, and specific internal energy is developed. A new expression is proposed for the internal energy of a zero-temperature isotherm in a wide range of compression ratios, which has asymptotics to the Thomas–Fermi model with corrections. Based on the new model, an equation of state for bismuth in the region of body-centered cubic solid and liquid phases is constructed. The results of calculating the thermodynamic characteristics of these condensed phases with the new EOS are compared with the available experimental data for this metal in waves of shock compression and isentropic expansion. The parameters of shock waves in air obtained earlier by unloading shock-compressed bismuth samples are reconsidered. The newly developed equation of state can be used in modeling various processes in this material at high energy densities.

Suggested Citation

  • Konstantin V. Khishchenko, 2022. "Equation of State for Bismuth at High Energy Densities," Energies, MDPI, vol. 15(19), pages 1-12, September.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:19:p:7067-:d:925734
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    References listed on IDEAS

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    1. Sheng Tan & Moge Wang & Jianjun Wu & Yu Zhang & Jian Li, 2020. "A Study on the Plasma Plume Expansion Dynamics of Nanosecond Laser Ablating Al/PTFE," Energies, MDPI, vol. 13(13), pages 1-24, June.
    2. Irina V. Mursenkova & Igor E. Ivanov & Yugan Liao & Igor A. Kryukov, 2022. "Experimental and Numerical Investigation of a Surface Sliding Discharge in a Supersonic Flow with an Oblique Shock Wave," Energies, MDPI, vol. 15(6), pages 1-13, March.
    3. Tatiana Lapushkina, 2022. "Principles of Magnetohydrodynamical Control of Internal and External Supersonic Flows," Energies, MDPI, vol. 15(15), pages 1-21, August.
    4. Feichao Cai & Guanhong Huang & Xiaowei Liu, 2022. "Investigation of Shock Wave Oscillation Suppression by Overflow in the Supersonic Inlet," Energies, MDPI, vol. 15(11), pages 1-19, May.
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