2015 / September Volume 10 No.3
Second-order Knudsen-layer Analysis for the Generalized Slip- flow Theory I
| Published Date |
2015 / September
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| Title | Second-order Knudsen-layer Analysis for the Generalized Slip- flow Theory I |
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| Pagination | 423-448 |
| Abstract | Numerical analyses of the second-order Knudsen layer are conducted on the basis of
the linearized Boltzmann equation for hard-sphere molecules under the diffuse reflection boundary condition. These aim at completing the data for the asymptotic theory of the Boltzmann equation (the generalized slip-flow theory) that have been lacking for nearly a half century except for the Bhatnagar–Gross–Krook (or Boltzmann–Krook–Welander) kinetic model equation. Numerical data, except for the curvature effects, are prepared up to the second order in the Knudsen number expansion.
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| AMS Subject Classification |
35Q20, 76P05, 82B40, 82C40, 82D05.
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| Received |
2015-01-21
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| Accepted |
2015-06-08
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