Role of surface shape on boundary slip and velocity defect

被引:7
作者
Dinler, Ali [1 ]
Barber, Robert W. [1 ]
Emerson, David R. [1 ]
Stefanov, Stefan K. [2 ]
Orucoglu, Kamil [3 ]
机构
[1] STFC Daresbury Lab, Ctr Microfluid & Microsystems Modelling, Warrington WA4 4AD, Cheshire, England
[2] Bulgarian Acad Sci, Inst Mech, BU-1113 Sofia, Bulgaria
[3] Istanbul Tech Univ, Dept Math, TR-34469 Istanbul, Turkey
来源
PHYSICAL REVIEW E | 2012年 / 86卷 / 01期
基金
英国工程与自然科学研究理事会;
关键词
FLOW; SIMULATION; LAYER;
D O I
10.1103/PhysRevE.86.016314
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Although many gas-phase microfluidic devices contain curved surfaces, relatively little research has been conducted on the degree of slip over nonplanar surfaces. The present study demonstrates the influence of the surface shape (i.e., convex/concave) on the velocity slip and formation of the Knudsen layer. In addition, the study reveals that there is a simple relationship between the shear stress exerted on the surface and the velocity defect in the Knudsen layer.
引用
收藏
页数:4
相关论文
共 21 条
[1]   Inverted velocity profile in the cylindrical Couette flow of a rarefied gas [J].
Aoki, K ;
Yoshida, H ;
Nakanishi, T ;
Garcia, AL .
PHYSICAL REVIEW E, 2003, 68 (01) :11-163021
[2]   Challenges in modeling gas-phase flow in microchannels: From slip to transition [J].
Barber, RW ;
Emerson, DR .
HEAT TRANSFER ENGINEERING, 2006, 27 (04) :3-12
[3]  
Bird G., 1994, MOL GAS DYNAMICS DIR
[4]   Molecular Momentum Transport at Fluid-Solid Interfaces in MEMS/NEMS: A Review [J].
Cao, Bing-Yang ;
Sun, Jun ;
Chen, Min ;
Guo, Zeng-Yuan .
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES, 2009, 10 (11) :4638-4706
[5]   Variational derivation of second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules [J].
Cercignani, Carlo ;
Lorenzani, Silvia .
PHYSICS OF FLUIDS, 2010, 22 (06) :1-8
[6]  
Cercignani Carlo, 2000, Rarefied Gas Dynamics, V21
[7]   BOUNDARY-CONDITION FOR FLUID-FLOW - CURVED OR ROUGH SURFACES [J].
EINZEL, D ;
PANZER, P ;
LIU, M .
PHYSICAL REVIEW LETTERS, 1990, 64 (19) :2269-2272
[8]   Measurements of tangential momentum accommodation coefficient for various gases in plane microchannel [J].
Graur, I. A. ;
Perrier, P. ;
Ghozlani, W. ;
Meolans, J. G. .
PHYSICS OF FLUIDS, 2009, 21 (10)
[9]   Analysis of the slip coefficient and defect velocity in the Knudsen layer of a rarefied gas using the linearized moment equations [J].
Gu, Xiao-Jun ;
Emerson, David R. ;
Tang, Gui-Hua .
PHYSICAL REVIEW E, 2010, 81 (01)
[10]   Validation of a second-order slip model for dilute gas flows [J].
Hadjiconstantinou, NG .
MICROSCALE THERMOPHYSICAL ENGINEERING, 2005, 9 (02) :137-153