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.