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本文针对微环缝槽道采用速度滑移和温度跳跃边界条件求解了不可压缩气体的N-S方程和能量方程,理论分析了微环缝槽道在单侧或双侧不同热流密度加热条件下的流动与层流换热特性,讨论了Kn数、内外径比对流动阻力及换热特性的影响。结果表明:滑移流区微环缝通道内的流阻和Nusselt数明显低于连续流区;且随着Kn数的增加,流阻和Nusselt数均减小;但其随内外径比r*的变化趋势与连续流区相似。

In this article, the momentum and energy equations with the boundary conditions of slip velocity and temperature jump are solved for the hydraulic and thermalfully developed laminar flow of the incompressible fluid in micro-annular channel. A theoretical analysis is conducted for flow and heat transfer characteristics in this micro channel on the condition of one wall heated alonewith uniform heat flux and two walls heated with different heat flux in slipflow regime. The influences of the Kn number, the ratio of inner diameter toouter diameter and the heat flux ratio on the flow and heat transfercharacteristics are discussed, respectively. The results show that the frictioncoefficient and Nusselt number in the micro-annular channel are smaller thanthat in the macrochannel, and decrease with the increase of Kn number.

参考文献

[1] E B Arkilic;K S Breuer;M A Schmidt .GaseousFlow in Microchannels[J].Application of Microfabrication to Fluid Mechanics ASME,1994,FED-197:57-66.
[2] A Beskok;G E Karniadakis .Simulation of Slip-Flows in ComplexMicro-Geometries[Z].ASME,1992,DSC40:355-370.
[3] H P Kavehpour;M Faghri;Y Asako .Effects of Compressibility andRarefaction on Gaseous Flow in Microchannel[J].Numerical Heat Transfer,1997(32):677-696.
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