Laminar forced convection slip-flow in a micro-annulus between two concentric cylinders

被引:61
作者
Avci, Mete [1 ]
Aydin, Orhan [1 ]
机构
[1] Karadeniz Tech Univ, Dept Mech Engn, TR-61080 Trabzon, Turkey
关键词
microscale; concentric annular duct; Knudsen number; heat transfer; slip-flow; temperature jump; viscous dissipation;
D O I
10.1016/j.ijheatmasstransfer.2007.10.036
中图分类号
O414.1 [热力学];
学科分类号
摘要
Forced convection heat transfer in hydrodynamically and thermally fully developed flows of viscous dissipating gases in annular microducts between two concentric micro cylinders is analyzed analytically. The viscous dissipation effect, the velocity slip and the temperature jump at the wall are taken into consideration. Two different cases of the thermal boundary conditions are considered: uniform heat flux at the outer wall and adiabatic inner wall (Case A) and uniform heat flux at the inner wall and adiabatic outer wall (Case B). Solutions for the velocity and temperature distributions and the Nusselt number are obtained for different values of the aspect ratio, the Knudsen number and the Brinkman number. The analytical results obtained are compared with those available in the literature and an excellent agreement is observed. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3460 / 3467
页数:8
相关论文
共 20 条
[1]   An experimental investigation of single-phase forced convection in microchannels [J].
Adams, TM ;
Abdel-Khalik, SI ;
Jeter, SM ;
Qureshi, ZH .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1998, 41 (6-7) :851-857
[2]  
Ameel TA, 1997, MICROSCALE THERM ENG, V1, P303
[3]   Laminar forced convection with viscous dissipation in a concentric annular duct [J].
Avci, M ;
Aydin, O .
COMPTES RENDUS MECANIQUE, 2006, 334 (03) :164-169
[4]   Heat and fluid flow characteristics of gases in micropipes [J].
Aydin, O ;
Avci, M .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2006, 49 (9-10) :1723-1730
[5]   Analysis of micro-graetz problem in a microtube [J].
Aydin, Orhan ;
Avci, Mete .
NANOSCALE AND MICROSCALE THERMOPHYSICAL ENGINEERING, 2006, 10 (04) :345-358
[6]   Analysis of laminar heat transfer in micro-Poiseuille flow [J].
Aydin, Orhan ;
Avci, Mete .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2007, 46 (01) :30-37
[7]   Thermally developing flow in microchannels [J].
Aydin, Orhan ;
Avci, Mete .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2006, 20 (03) :628-632
[8]   The Graetz problem extended to slip-flow [J].
Barron, RF ;
Wang, XM ;
Ameel, TA ;
Warrington, RO .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1997, 40 (08) :1817-1823
[9]   Evaluation of the eigenvalues for the Graetz problem in slip-flow [J].
Barron, RF ;
Wang, XM ;
Warrington, RO ;
Ameel, T .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 1996, 23 (04) :563-574
[10]  
Gad-el-Hak M, 2001, MEC IND, V2, P313, DOI DOI 10.1016/S004410050767