Interaction integrals in the kinetic theory of gases
作者:
K.F. Ness,
R.E. Robson,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 1985)
卷期:
Volume 14,
issue 3
页码: 257-290
ISSN:0041-1450
年代: 1985
DOI:10.1080/00411458508211678
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Interaction integrals Vℓvarise naturally in so-called moment theories of solution of Boltzmanns equation in which the velocity distribution function is represented by an expansion in Burnett functions. They are essentially matrix elements of scattering cross sections with respect to Sonine polynomials. In this paper, we discuss firstly the way in which the Vℓvarise in the test particle problem when representing the linear Boltzmann collision operator in the Burnett function basis with two free parameters, temperature and drift velocity respectively. Secondly, properties of Vℓvare discussed, recurrence relationships derived and both analytic and numerical evaluation is carried out for both elastic and inelastic processes, described by various model and realistic cross sections. Finally, the significance of these results for transport coefficient calculation is briefly discussed.
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