A slip model for rarefied gas flows at arbitrary Knudsen number

被引：252

作者：

Wu, Lin ^{[1
]}

机构：

[1] Univ Nebraska, Dept Mech Engn, Lincoln, NE 68588 USA

来源：

APPLIED PHYSICS LETTERS | 2008年 / 93卷 / 25期

关键词：

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

D O I：

10.1063/1.3052923

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

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.

引用

页数：3

共 6 条

[1]

Burgdorfer A., 1959, ASME J. Basic Eng, V81, P94, DOI [DOI 10.1115/1.4008375, 10.1115/1.4008375]

[2] A DATABASE FOR INTERPOLATION OF POISEUILLE FLOW-RATES FOR HIGH KNUDSEN NUMBER LUBRICATION PROBLEMS [J].

FUKUI, S ;

KANEKO, R .

JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME, 1990, 112 (01) :78-83

[3]

HSIA YT, 1983, ASME, V105, P120

[4]

Kennard E.H., 1938, KINETIC THEORY GASES

[5] MODIFIED REYNOLDS-EQUATION FOR ULTRA-THIN FILM GAS LUBRICATION USING 1.5-ORDER SLIP-FLOW MODEL AND CONSIDERING SURFACE ACCOMMODATION COEFFICIENT [J].

MITSUYA, Y .

JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME, 1993, 115 (02) :289-294

[6] A generalized compressible Reynolds lubrication equation with bounded contact pressure [J].

Wu, L ;

Bogy, DB .

PHYSICS OF FLUIDS, 2001, 13 (08) :2237-2244

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