Similarity solutions for flows and heat transfer in microchannels between two parallel plates
文献类型:期刊论文
作者 | Wang, Z. C.1,2; Tang, D. W.1; Hu, X. G.1 |
刊名 | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
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出版日期 | 2011-05-01 |
卷号 | 54期号:11-12页码:2349-2354 |
关键词 | Velocity slip Temperature jump Viscous dissipation Homotopy analysis method |
英文摘要 | In this paper we give analytical similarity solutions of the Navier-Stokes equations coupled with energy equation of Newtonian fluid in a microchannel between two parallel plates taking into account the effects of viscous dissipation, the velocity slip and the temperature jump at the wall. Two different thermal boundary conditions are considered: the constant heat flux (CHF) and the constant wall temperature (CWT). We provide new similarity transformations for the governing equations and derive the expressions of Poiseuille number (Po) and Nusselt number (Nu). Then, the homotopy analysis method (HAM) is employed to solve the nonlinear differential equations with related boundary conditions. Both the dimensionless analytical expressions of velocity and temperature are obtained. The rarefaction effects on velocity distribution and flow friction are exhibited. The interactive effects of the Brinkman number (Br) and the Knudsen number (Kn) on Nu are analytically studied for both the CHF and CWT cases. (C) 2011 Elsevier Ltd. All rights reserved. |
WOS标题词 | Science & Technology ; Physical Sciences ; Technology |
类目[WOS] | Thermodynamics ; Engineering, Mechanical ; Mechanics |
研究领域[WOS] | Thermodynamics ; Engineering ; Mechanics |
关键词[WOS] | HOMOTOPY ANALYSIS METHOD ; APPROXIMATE SOLUTION TECHNIQUE ; BOUNDARY-LAYER-FLOWS ; SLIP-FLOW ; SMALL PARAMETERS ; FLUID-MECHANICS ; TRANSITION ; EQUATIONS |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000289820100014 |
公开日期 | 2015-12-22 |
源URL | [http://ir.etp.ac.cn/handle/311046/106511] ![]() |
专题 | 工程热物理研究所_中国科学院工程热物理所(论文库)_期刊论文(SCI) |
作者单位 | 1.Chinese Acad Sci, Inst Engn Thermophys, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Wang, Z. C.,Tang, D. W.,Hu, X. G.. Similarity solutions for flows and heat transfer in microchannels between two parallel plates[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,2011,54(11-12):2349-2354. |
APA | Wang, Z. C.,Tang, D. W.,&Hu, X. G..(2011).Similarity solutions for flows and heat transfer in microchannels between two parallel plates.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,54(11-12),2349-2354. |
MLA | Wang, Z. C.,et al."Similarity solutions for flows and heat transfer in microchannels between two parallel plates".INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 54.11-12(2011):2349-2354. |
入库方式: OAI收割
来源:工程热物理研究所
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