Statistical inelastic cross-section model for the Monte Carlo simulation of molecules with discrete internal energy

Koura, Katsuhisa
August 1992
Physics of Fluids A;Aug92, Vol. 4 Issue 8, p1782
Academic Journal
The statistical inelastic cross-section (SICS) model based on the statistical uncorrelation assumption is derived using the microscopic reversibility relation for the Monte Carlo simulation of molecules with discrete internal energy. The SICS model is specified for rotationally inelastic collisions by employing Parker’s rotational energy gain function and applied to the calculation of the rotational distribution through a nitrogen shock wave with the null-collision direct-simulation Monte Carlo method. It is shown that the SICS model produces the Boltzmann and bimodal rotational distributions in low and high Mach number shock waves, respectively, consistent with the experimental results of Robben and Talbot [Phys. Fluids 9, 653 (1966)]. Quantitative agreement between the Monte Carlo and experimental results of the rotational distribution as well as the density and rotational temperature profiles is reasonable for available values of the SICS parameters.


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