Mathematical simulation of heat and mass transfer processes in a rectangular channel depending on the accommodation coefficient of tangential momentum

摘要

The article proposes method of solving the problem of heat and mass transfer in a long rectangular channel using Maxwell's mirror- di.usive boundary conditions. A rarefied gas .ow trough cross section is studied on the basis of the Williams model kinetic equation. Expressions are obtained for heat and mass .uxes as linear functions of the temperature gradient supported in the channel. The profiles of the heat .ux vector and the mass velocity of the gas in the channel are constructed depending on the accommodation coe.cient. The specific gas mass .ux and the heat .ux through the channel cross section have been calculated. A numerical analysis of the results is carried out in the case when the tangential momentum accommodation coe.cient is close to unity. It is shown that if one of the channel dimensions is much smaller than the other, the obtained results coincide with the analogous results for channels with infinite parallel walls. The results were compared with the analogous results found in the open press.