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首页> 外文期刊>International Journal of Heat and Mass Transfer >Effects of viscous dissipation on slip-flow heat transfer in a micro annulus
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Effects of viscous dissipation on slip-flow heat transfer in a micro annulus

机译：粘性耗散对微环空滑流传热的影响

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摘要

This study deals numerically with the laminar slip-flow forced convection in a micro annulus with constant wall temperature. The solution takes the effects of viscous dissipation, velocity-slip and temperature-jump conditions at the surface into considerations. A hybrid application of the Laplace transformation technique and the local adaptive differential quadrature method (La-DQM) is used to solve the energy equation for the developing temperature field. Of interest are the effects of the Brinkman number Br, the Knudsen number Kn, and the radius ratio β of inner to outer cylinders on the temperature distribution and the Nusselt number.rnThe results indicate that fully developed Nusselt number increases with an increase in the radius ratio β or a decrease in the Knudsen number Kn, but it is rather insensitive to the Brinkman number. The local Nusselt number in the thermal entrance region increases as Br increases. Comparisons are also made of the dimensionless temperature gradient at the outer cylinder between the present results and published data for the circular tube case β = 0, and the agreement is found out to be generally good.
机译：这项研究在数值上处理了壁温恒定的微小环空中的层流滑流强迫对流。该解决方案考虑了表面的粘性耗散，速度滑移和温度跳跃条件的影响。拉普拉斯变换技术和局部自适应差分正交方法（La-DQM）的混合应用被用来求解发展中的温度场的能量方程。有趣的是Brinkman数Br，Knudsen数Kn以及内外圆柱的半径比β对温度分布和Nusselt数的影响。结果表明，充分发展的Nusselt数随半径的增加而增加比率β或克努森数Kn的减小，但它对布林克曼数不敏感。随着Br的增加，热入口区域中的局部Nusselt数增加。还比较了当前结果和圆形管例β= 0的公开数据之间的外量纲处的无量纲温度梯度，发现总体上是一致的。

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