Journal of Fluid Mechanics

The Boltzmann collision integrals for a combination of Maxwellians

S. M.  Deshpande a1 and R.  Narasimha a1
a1 Department of Aeronautical Engineering, Indian Institute of Science, Bangalore 12

Article author query
deshpande sm   [Google Scholar] 
narasimha r   [Google Scholar] 


The gain and loss integrals in the Boltzmann equation for a rigid sphere gas are evaluated in closed form for a distribution which can be expressed as a linear combination of Maxwellians. Application to the Mott-Smith bimodal distribution shows that the gain is also bimodal, but the two modes in the gain are less pronounced than in the distribution. Implications of these results for simple collision models in non-equilibrium flow are discussed.

(Published Online March 29 2006)
(Received August 20 1968)