Determination of temperature jump coefficient using the direct simulation Monte Carlo method

Abstract

To investigate the temperature jump coefficient of rarefied gases on the wall, we have simulated the heat transfer of the gases between two infinite plates using the direct simulation Monte Carlo method. We have studied six cases of different distances between the plates to reveal the effect of the Knudsen number on the coefficient. The simulated gases include monatomic gases, diatomic gases and a mixture of gases. In the investigation we have applied three sets of surface temperature to show the effect of the surface temperature. The numerical results show that the temperature jump coefficient is independent of both the Knudsen number and the surface temperature, and is thus a constant. But it changes with the internal degree of freedom of gaseous molecules. In addition, we find that the coefficient, in the case of heat flux from the gas to the wall, is larger than that in the case of heat flux from the wall to the gas. When the heat flows from the gas to the wall, the obtained coefficient is 1.7964 for the monatomic gases and 1.7192 for the diatomic and mixed gases. When the heat flows from the wall to the gas, the coefficient is 1.5954 for the monatomic gases and 1.5195 for the diatomic and mixed gases. These values fall in the region of 1.5–1.9 provided by earlier semi-analytical work.