4.6 Article

A slip model for rarefied gas flows at arbitrary Knudsen number

Journal

APPLIED PHYSICS LETTERS
Volume 93, Issue 25, Pages -

Publisher

AMER INST PHYSICS
DOI: 10.1063/1.3052923

Keywords

boundary layers; confined flow; kinetic theory; Knudsen flow; lubrication; slip flow

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A slip model for wall bounded rarefied gas flows is derived from kinetic theory. A corresponding modified Reynolds lubrication equation is obtained from the slip velocity boundary conditions at walls for high Knudsen number gas flows. The slip model in a simplest form has predictions very close to the numerical solutions of linearized Boltzmann equation in the whole Knudsen number range, and is preferable to the widely applied 1st order (Maxwell slip model), 2nd order, and 1.5 order slip models.

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