Temperature jump and thermal creep slip: Rigid sphere gas

The half-space problems of temprature jump and thermal creep slip are solved for a rigid sphere gas based on the linearized Boltzmann equation. The SN method is used, and it is shown that accurate results for the jump/slip coefficients and the temperature, density, and velocity can be obtained in relatively short computational times. The previously reported variational results for the jump/slip coefficients are found to be quite good (1%–3% error). It is noted, however, that for rigid sphere molecules the Knudsen layer is somewhat thinner than for the BGK model. The creep slip coefficient is in good agreement with the experimental data of Annis [J. Chem. Phys. 57, 2898 (1972)], but for other quantities experimental data are needed.