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Collision integrals of ionized air components for a screened coulomb potential

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Abstract

Results of a numerical evaluation of the integrals Ωι,s (ι = 1, 2, 3, 4 and s = ι ... 8 -ι), in terms of which transport coefficients are expressed [1], are given in this paper. The results obtained are of practical use for calculating kinetic properties of ionized gases within the Chapman-Enskog theory, including third-order terms in the Sonine polynomial expansion. The integrals Ωι,s were calculated for singly-ionized colliding air particles at temperatures T = 10,000–40,000 °K and pressures p = 0.1, 1, and 100 atm. The screened Coulomb potential for attraction and repulsion was the model for electron-ion and ionic interactions, and the Debye screening length was chosen by taking into account screening both by electrons and by multiply-charged ions. Quantum effects are not important in the temperature and pressure ranges considered for air, and can, therefore, be neglected in calculating kinetic properties.

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 168–171, September–October, 1971.

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Sokolova, N.A. Collision integrals of ionized air components for a screened coulomb potential. J Appl Mech Tech Phys 12, 777–779 (1971). https://doi.org/10.1007/BF00851136

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  • DOI: https://doi.org/10.1007/BF00851136

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