Interaction integrals in the kinetic theory of gases

References

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• We consider CH4, firstly to demonstrate how model interactions can be chosen to give a good approximation to real cross sections (as Fig. 1 shows) and secondly because CH4 initially presented some problems for the moment method of Lin et al. However these difficulties were in the main due to the inaccurate calculation of inelastic rather than elastic interaction integrals. (See reference 20)
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• The hat model is of particular interest since it gives the basic shape of electron-molecular vibrational cross sections, which were found to cause difficulties for the numerical code of Lin et al. (See Section VI and reference 20)
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• We find that, with inaccurate interaction integrals the transport coefficients depend upon both the order of integration and the choice of Tb. These difficulties may occur, for example, in the analysis of electron motion in CH4 and CO2. However, with accurate interaction integrals, reliable transport data can be obtained for these gases. (See reference 20)
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• O'Hara , H. and Smith , F. J. 1971 . Comp. Phys. Comm. , 2 : 47 For a detailed discussion of computation of Ω (s) see, e.g.
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