Exact solutions of the Boltzmann equation
作者:
Max Krook,
Tai Tsun Wu,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1977)
卷期:
Volume 20,
issue 10
页码: 1589-1595
ISSN:0031-9171
年代: 1977
DOI:10.1063/1.861780
出版商: AIP
数据来源: AIP
摘要:
The nonlinear Boltzmann equation for the relaxation to equilibrium of a homogeneous one‐component gas, is considered for a class of collision models. The models are characterized by elastic cross sections inversely proportional to the relative speed, but with arbitrary dependence on center‐of‐mass scattering angle. The Boltzmann equation is solved exactly for a particular family of physically interesting initial distributions. The distribution functions are of the similarity form and consist of the product of a Maxwell function with ’’time‐dependent temperature’’ and a linear function ofv2.
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