Instability of a slip flow in a curved channel formed by two concentric cylindrical surfaces

被引：23

作者：

Avramenko, A. A. ^{[2
]}

Kuznetsov, A. V. ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA

[2] Natl Acad Sci Ukraine, Inst Engn Thermophys, UA-03057 Kiev, Ukraine

来源：

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS | 2009年 / 28卷 / 06期

关键词：

Slip flow; Curved microchannel; Linear instability analysis; Taylor number; Dean number; RAREFIED-GAS FLOWS; COUETTE-FLOW; SIMULATION;

D O I：

10.1016/j.euromechflu.2009.06.003

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

instability of a slip flow in a curved channel formed by two concentric cylindrical surfaces is investigated. Two cases are considered. In the first (Taylor-Couette flow) case the flow is driven by the rotation of the inner cylindrical surface; no azimuthal pressure gradient is applied. In the second case (Dean flow) both cylindrical surfaces are motionless, and the flow is driven by a constant azimuthal pressure gradient. The collocation method is used to find numerically the critical values of the Taylor and Dean numbers, which establish the instability criteria for these two cases. The dependencies of critical values of these numbers on the ratio between the radii of concave and convex walls and on the velocity slip coefficient are investigated. (C) 2009 Elsevier Masson SAS. All rights reserved.

引用

页码：722 / 727

页数：6

共 19 条

[1] Deduction of slip coefficient in slip and transition regimes from existing cylindrical Couette flow data [J].

Agrawal, Amit ;

Prabhu, S. V. .

EXPERIMENTAL THERMAL AND FLUID SCIENCE, 2008, 32 (04) :991-996

[2]

[Anonymous], 1984, COMPUTATIONAL GALERK, DOI DOI 10.1007/978-3-642-85949-6

[3] Instability of slip flow in a channel occupied by a hyperporous medium [J].

Avramenko, A. A. ;

Kuznetsov, A. V. ;

Nield, D. A. .

JOURNAL OF POROUS MEDIA, 2007, 10 (05) :435-442

[4]

Bird G., 1994, MOL GAS DYNAMICS DIR

[5] Thermal conductivity and gaseous microscale transport [J].

Calvert, M ;

Baker, J .

JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 1998, 12 (02) :138-145

[6] The influence of slip and jump boundary conditions on the cylindrical Couette flow [J].

Cumin, LMG ;

Kremer, GM ;

Sharipov, F .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2002, 12 (03) :445-459

[7] Fluid motion in a curved channel [J].

Dean, WR .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1928, 121 (787) :402-420

[8]

GADELHAK M, 1999, ASME, V121, P5

[9]

HAMMERLIN G, 1958, ARCH RATION MECH AN, V1, P212

[10]

KOBAYASHI R, 1973, REP I HIGH SPEED, V27, P31

← 1 2 →