Numerical demonstration of the reciprocity among elemental relaxation and driven-flow problems for a rarefied gas in a channel

作者：Takata Shigeru^*; Oishi Masashi

来源：Physics of Fluids, 2012, 24(1): 012003.

DOI：10.1063/1.3678308

Relaxations from a uniform mass/heat flow and flows driven by an external force/temperature-gradient for a rarefied gas between two parallel plates are studied on the basis of the kinetic theory of gases. By numerical computations of the linearized Bhatnagar-Gross-Krook model of the Boltzmann equation, it is demonstrated that the reciprocity among these elemental flows derived from a general reciprocity theory for time-dependent problems [S. Takata, J. Stat. Phys. 140, 985 (2010)] holds at any time and any Knudsen numbers. Moreover, a propagation of the discontinuity of the velocity distribution VDF) in the relaxation problems and that of the derivative discontinuity of the VDF in the driven-flow problems are demonstrated. Their relation is also clarified.

• 出版日期2012-1