Universal cubic equation of state and contact values of the radial distribution functions for multi-component additive hard-sphere mixtures |
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| Authors: | Jiu-Xun Sun Qiang Wu Ling-Cang Cai Ke Jin |
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| Affiliation: | 1. School of Physical Electronics, University of Electronic Science and Technology, Chengdu, China;2. Laboratory for Shock Wave and Detonation Physics Research, Southwest Institute of Fluid Physics, Mianyang, Chinasjx@uestc.edu.cn;4. Laboratory for Shock Wave and Detonation Physics Research, Southwest Institute of Fluid Physics, Mianyang, China |
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| Abstract: | A universal cubic equation of state (UC EOS) is proposed based on a modification of the virial Percus-Yevick (PY) integral equation EOS for hard-sphere fluid. The UC EOS is extended to multi-component hard-sphere mixtures based on a modification of Lebowitz solution of PY equation for hard-sphere mixtures. And expressions of the radial distribution functions at contact (RDFC) are improved with the form as simple as the original one. The numerical results for the compressibility factor and RDFC are in good agreement with the simulation results. The average errors of the compressibility factor relative to MC data are 3.40%, 1.84% and 0.92% for CP3P, BMCSL equations and UC EOS, respectively. The UC EOS is a unique cubic one with satisfactory precision among many EOSs in the literature both for pure and mixture fluids of hard spheres. |
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| Keywords: | cubic equation of state radial distribution functions at contact hard sphere fluids mixtures multi-components |
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