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Abstract
The slip flow or Kramers problem for rarefied gas flow is studied by the use of a number of models. The models employed include the Bhatnagar-Gross-Krook model, Maxwell molecules, the Gross-Jackson model, Cercignani's variable-collision-frequency model, and a new model which allows variable collision frequency, the correct Chapman-Enskog solution and the correct Prandtl number. The Kramers problem is solved by means of an approximation scheme based on the method of elementary solutions for the constant-collision-frequency models and by a variational method for the variable-collision-frequency model. Numerical results show that the slip coefficient is only slightly model-dependent.
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