Fluid Flow and Heat Transfer Analysis of Single-Phase Steady Laminar Flow in Rectangular Micro-Channel Heat Sinks

WANG Li-feng; SHAO Bao-dong; CHENG He-ming; TANG Yan-jun

doi:10.3879/j.issn.1000-0887.2013.08.009

Volume 34 Issue 8

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WANG Li-feng, SHAO Bao-dong, CHENG He-ming, TANG Yan-jun. Fluid Flow and Heat Transfer Analysis of Single-Phase Steady Laminar Flow in Rectangular Micro-Channel Heat Sinks[J]. Applied Mathematics and Mechanics, 2013, 34(8): 855-862. doi: 10.3879/j.issn.1000-0887.2013.08.009

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Fluid Flow and Heat Transfer Analysis of Single-Phase Steady Laminar Flow in Rectangular Micro-Channel Heat Sinks

doi: 10.3879/j.issn.1000-0887.2013.08.009

Department of Engineering Mechanics, Architectural Engineering Institute, Kunming University of Science and Technology, Kunming 650500, P.R.China

Received Date: 2013-05-16
Rev Recd Date: 2013-06-17
Publish Date: 2013-08-15

Abstract

Abstract

Fluid flow and heat transfer of single-phase steady laminar flow in a rectangular micro-channel were investigated by analytic method. Based on the assumption of constant flow velocity and heat transfer along y-direction, flow velocity and heat transfer equations for fluid flow in the rectangular micro-channel were set up. Then the theoretical expressions of Nusselt number and Poiseuille number were derived. The computed results show that the analytic solutions derived coincide well with the results of other literatures. When the aspect ratio of cross section tends to infinity, Nusselt number and Poiseuille number tend to be 8.235 and 96, respectively, which are identical to those of other literatures. When Reynolds number is fixed, the friction coefficient increases with the aspect ratio, and when the aspect ratio is fixed, friction coefficient decreases with Reynolds number increase.
- rectangular micro-channel,
- heat sink,
- Nusselt number,
- Poiseuille number,
- steady laminar flow

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References

[1]	Mudawar I. Two-phase microchannel heat sinks: theory, applications, and limitations[J].Journal of Electronic Packaging,2011, 133(4): 041002-1-041002-31.
[2]	Shah R K. Laminar flow friction and forced convection heat transfer in ducts of arbitrary geometry[J].International Journal of Heat and Mass Transfer,1975, 18(7/8): 849-862.
[3]	Lee Poh-Seng, Garimella S V, LIU Dong. Investigation of heat transfer in rectangular micro-channels[J].International Journal of Heat and Mass Transfer,2005, 48(9): 1688-1704.
[4]	Morini G L, Spiga M. Transient laminar natural convection along rectangular ducts[J].International Journal of Heat and Mass Transfer,2001, 44(24): 4703-4710.
[5]	刘赵淼, 逢燕, 申峰. 几何尺寸对矩形微通道液体流动和传热性能的影响[J]. 机械工程学报, 2012, 48(16): 139-145. （LIU Zhao-miao, PANG Yan, SHEN Feng. Effects of geometry on liquid flow and heat transfer in microchannels[J].Journal of Mechanical Engineering,2012, 48(16): 139-145. （in Chinese））
[6]	徐斌, 陆向迅, 吴建, 王洋, 薛宏. 微通道流体物性对流动与传热影响的数值模拟和实验研究[J]. 水动力学研究与进展, 2008, 23(6): 675680. （XU Bin, LU Xiang-xun, WU Jian, WANG Yang, XUE Hong. Influence of thermophysical properties on the flow and heat transfer in rectangular microchannels[J].Chinese Journal of Hydrodynamics,2008, 23(6): 675-680. （in Chinese)）
[7]	Mansoor M M, Wong KokCheong, Mansoor S. Numerical investigation of fluid flow and heat transfer under high heat flux using rectangular micro-channels[J].International Communications in Heat and Mass Transfer,2012, 39(2): 291-297.
[8]	鲁进利, 周宾, 许忠林, 蒋洁, 郭雨含, 郝英立. 不同截面微通道中流动阻力特性[J]. 东南大学学报（自然科学版）, 2011, 41(3): 554557.（LU Jin-li, ZHOU Bin, XU Zhong-lin, JIANG Jie, GUO Yu-han, HAO Ying-li. Flow characteristics in microchannel with different crosssection[J].Journal of Southeast University (Natural Science Edition),2011, 41(3): 554-557.（in Chinese））
[9]	钟主海, 刘磊, 樊辉青, 张翔. 矩形和圆形微通道内流体流动特性的实验研究[J]. 中国电机工程学报, 2012, 32(4): 76-81.（ZHONG Zhu-hai, LIU Lei, FAN Hui-qing, ZHANG Xiang. Experimental study on flow characteristics in rectangular and circular microchannels[J].Proceeding of the CSEE,2012, 32(14): 76-81.（in Chinese））
[10]	龚磊, 吴健康. 微通道液体流动双电层阻力效应[J]. 应用数学和力学, 2006, 27(10): 1219-1224.（GONG Lei, WU Jian-kang. Resistance effect of electric double layer on liquid flow in microchannel[J].Applied Mathematics and Mechanics,2006, 27(10): 1219-1224. （in Chinese））
[11]	Kays W M, Crawford M E.Convective Heat and Mass Transfer [M]. New York: McGrawHill, 1980.
[12]	Theodore L B, Adrienne S L, Frank P I, David P D.Fundamentals of Heat and Mass Transfer [M]. 7th Ed. Hoboken: John Eiley & Sons, 2011.