Temperature jump and thermal creep slip: Rigid sphere gas. (English) Zbl 0661.76081
The half-space problems of temperature jump and thermal creep slip are solved for a rigid sphere gas based on the linearized Boltzmann equation. The \(S_ N\) 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 but for other quantities experimental data are needed.
MSC:
| 76P05 | Rarefied gas flows, Boltzmann equation in fluid mechanics |
| 82B40 | Kinetic theory of gases in equilibrium statistical mechanics |
| 76M99 | Basic methods in fluid mechanics |
Keywords:
half-space problems of temperature jump; thermal creep slip; linearized Boltzmann equation; variational resultsReferences:
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