Abstract
Using theoretical analysis and numerical calculation method, the axial adiabatic compression of a spinning non-ideal gas in a cylinder with a smooth surface is investigated. We show that the axial pressure of a spinning gas will gradually become lower than that of a stationary gas during continuous compression, even though the initial axial pressure of the spinning gas is larger than that of the stationary gas at the same initial temperature and average density. This phenomenon indicates that the axial compressibility of gas is improved in a rotating system. In addition, the effect of different forms of virial coefficient B(T) on pressure and temperature changes in spinning and stationary gases are investigated. Research on the axial compressibility of spinning non-ideal gas can provide useful references for fields that require high compression of gases, such as laser fusion, laboratory astrophysics, and Z-pinch experiments.
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References
Z. Fan, Y. Liu, B. Liu, C. Yu, K. Lan, and J. Liu, Nonequilibrium between ions and electrons inside hot spots from National Ignition Facility experiments, Matter and Radiation at Extremes 2(1), 3 (2017) (I)
E. M. Campbell, V. N. Goncharov, T. C. Sangster, S. P. Regan, P. B. Radha, R. Betti, J. F. Myatt, D. H. Froula, M. J. Rosenberg, I. V. Igumenshchev, W. Seka, A. A. Solodov, A. V. Maximov, J. A. Marozas, T. J. B. Collins, D. Turnbull, F. J. Marshall, A. Shvydky, J. P. Knauer, R. L. McCrory, A. B. Sefkow, M. Hohenberger, P. A. Michel, T. Chapman, L. Masse, C. Goyon, S. Ross, J. W. Bates, M. Karasik, J. Oh, J. Weaver, A. J. Schmitt, K. Obenschain, S. P. Obenschain, S. Reyes, and B. Van Wonterghem, Laser-direct-drive program: Promise, challenge, and path forward, Matter and Radiation at Extremes 2(2), 37 (2017)
B. Y. Sharkov, D. H. Hoffmann, A. A. Golubev, and Y. Zhao, High energy density physics with intense ion beams, Matter and Radiation at Extremes 1(1), 28 (2016)
D. Kraus, J. Vorberger, A. Pak, N. J. Hartley, L. B. Fletcher, S. Frydrych, E. Galtier, E. J. Gamboa, D. O. Gericke, S. H. Glenzer, E. Granados, M. J. MacDonald, A. J. MacKinnon, E. E. McBride, I. Nam, P. Neumayer, M. Roth, A. M. Saunders, A. K. Schuster, P. Sun, T. van Driel, T. Döppner, and R. W. Falcone, Formation of diamonds in laser-compressed hydrocarbons at planetary interior conditions, Nature Astronomy 1(9), 606 (2017)
S. V. Lebedev, I. H. Mitchell, R. Aliaga-Rossel, S. N. Bland, J. P. Chittenden, A. E. Dangor, and M. G. Haines, Azimuthal structure and global instability in the implosion phase of wire array Z-pinch experiments, Phys. Rev. Lett. 81(19), 4152 (1998)
A. J. Harvey-Thompson, S. V. Lebedev, G. Burdiak, E. M. Waisman, G. N. Hall, F. Suzuki-Vidal, S. N. Bland, J. P. Chittenden, P. De Grouchy, E. Khoory, L. Pickworth, J. Skidmore, and G. Swadling, Suppression of the ablation phase in wire array Z pinches using a tailored current prepulse, Phys. Rev. Lett. 106(20), 205002 (2011)
R. P. Drake, High-energy-density physics: Fundamentals, Inertial Fusion, and Experimental Astrophysics, Springer Science & Business Media, 2006
B. L. Holian, Atomistic computer simulations of shock waves, Shock Waves 56(3), 149 (1995)
H. Liu, W. Kang, Q. Zhang, Y. Zhang, H. Duan, and X. T. He, Molecular dynamics simulations of microscopic structure of ultra strong shock waves in dense helium, Front. Phys. 11(6), 115206 (2016)
H. Liu, Y. Zhang, W. Kang, P. Zhang, H. Duan, and X. T. He, Molecular dynamics simulation of strong shock waves propagating in dense deuterium, taking into consideration effects of excited electrons, Phys. Rev. E 95(2), 023201 (2017)
V. I. Geyko and N. J. Fisch, Reduced compressibility and an inverse problem for a spinning gas, Phys. Rev. Lett. 110(15), 150604 (2013)
J. Wang, Y. Shi, L. P. Wang, Z. Xiao, X. He, and S. Chen, Scaling and statistics in three-dimensional compressible turbulence, Phys. Rev. Lett. 108(21), 214505 (2012)
A. G. Xu, G. C. Zhang, Y. B. Gan, F. Chen, and X. J. Yu, Lattice Boltzmann modeling and simulation of compressible flows, Front. Phys. 76(5), 582 (2012)
A. G. Xu, G. C. Zhang, Y. D. Zhang, P. Wang, and Y. J. Ying, Discrete Boltzmann model for implosion- and explosionrelated compressible flow with spherical symmetry, Front. Phys. 13(5), 135102 (2018)
Y. Gan, A. Xu, G. Zhang, Y. Zhang, and S. Succi, Discrete Boltzmann trans-scale modeling of high-speed compressible flows, Phys. Rev. E 97(5), 053312 (2018)
Y. B. Gan, A. G. Xu, G. C. Zhang, C. D. Lin, H. L. Lai, and Z. P. Liu, Nonequilibrium and morphological characterizations of Kelvin–Helmholtz instability in compressible flows, Front. Phys. 14(4), 43602 (2019)
S. Plimpton, Fast parallel algorithms for short-range molecular dynamics, J. Comput. Phys. 117(1), 1 (1995)
L. D. Landau and E. M. Lifshitz, Course of theoretical physics, Vol. 5, Statistical Physics, Elsevier, 2013
R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, On the Lambert W-function, Adv. Comput. Math. 5(1), 329 (1996)
Acknowledgements
This work was financially supported by the National Natural Science Foundation of China (Grant No. 11805061), the Natural Science Foundation of Hunan Province, China (Grant No. 2019JJ50072), the Science Challenge Project (Grant No. TZ2016005), and the Fundamental Research Funds for the Central Universities.
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Zhang, YW., Su, SL., Xie, SB. et al. Investigation into the improved axial compressibility of a spinning non-ideal gas. Front. Phys. 15, 42501 (2020). https://doi.org/10.1007/s11467-020-0962-8
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DOI: https://doi.org/10.1007/s11467-020-0962-8