Solution to the kinetic equation in the problem of computing the heat flux between coaxial cylinders. (Russian, English) Zbl 1072.80001

Aleshin, P. S.; Savkov, S. A.

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 8, 1495-1504 (2004); translation in Comput. Math. Math. Phys. 44, No. 8, 1419-1428 (2004).

Summary: The problem of computing the heat flux between coaxial cylinders is considered. Numerical results are presented for the Bhatnagar-Gross-Krook model and the Boltzmann collision integral. A general expression (independent of the form of the kinetic equation or the method for its solution) is given for the heat flux as a function of the energy accommodation coefficient. The numerical results are compared with experimental data and previously obtained results.

MSC:

80A20	Heat and mass transfer, heat flow (MSC2010)
82B40	Kinetic theory of gases in equilibrium statistical mechanics
76P05	Rarefied gas flows, Boltzmann equation in fluid mechanics

Keywords:

kinetic equation; BGK model; heat flux calculations