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Extended Graetz problem including streamwise conduction and viscous dissipation in microchannel

机译:扩展的Graetz问题,包括微通道中的流向传导和粘性耗散

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摘要

Extended Graetz problem in microchannel is analyzed by using eigenfunction expansion to solve the energy equation. The hydrody-namically developed flow is assumed to enter the microchannel with uniform temperature or uniform heat flux boundary condition. The effects of velocity and temperature jump boundary condition on the microchannel wall, streamwise conduction and viscous dissipation are all included. From the temperature field obtained, the local Nusselt number distributions are shown as the dimensionless parameters (Peclet number, Knudsen number, Brinkman number) vary. The fully developed Nusselt number for each boundary condition is obtained also in terms of these parameters.
机译:利用特征函数展开法求解能量方程,分析了微通道中的扩展Graetz问题。假定流体动力学发展的流动以均匀的温度或均匀的热通量边界条件进入微通道。速度和温度跃变边界条件对微通道壁,流向传导和粘性耗散的影响都包括在内。从获得的温度场中,局部Nusselt数分布显示为无量纲参数(Peclet数,Knudsen数,Brinkman数)的变化。还根据这些参数获得了每个边界条件的完全展开的努塞尔数。

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