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Analysis of gaseous slip flow in a porous micro-annulus under local thermal non-equilibrium condition - An exact solution

机译:局部热不平衡条件下多孔微环空中气体滑流的分析-精确解

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摘要

The phenomenon of rarefaction in a micro-annulus filled with a porous medium is analyzed in the slip-flow regime. A local thermal non-equilibrium (LTNE) model is utilized to represent the energy transport within the porous medium. Exact solutions are derived for both the fluid and solid temperature distributions within the annulus. Two distinct cases of the thermal boundary conditions are considered, namely a constant heat flux at the outer wall and adiabatic inner wall (Case Ⅰ) and vice versa (Case Ⅱ). By eliminating the temperature difference between the fluid and solid phases, the local thermal equilibrium (LTE) model is theoretically proved to be a special case of the LTNE counterpart. Analytical predictions indicate that although the rarefaction leads to a reduction in the heat transfer, the effects of other thermophysical parameters such as the Biot number, the effective thermal conductivity ratio, the porous media shape factor and the annulus aspect ratio also play an important role. The results suggest that the configuration of Case Ⅱ is superior to that of Case Ⅰ from the heat transfer point of view.
机译:在滑流状态下分析了填充有多孔介质的微环中的稀疏现象。利用局部热非平衡(LTNE)模型来表示多孔介质内的能量传输。得出环内流体和固体温度分布的精确解。考虑了两种不同的热边界条件,即外壁和绝热内壁的恒定热通量(情况Ⅰ),反之亦然(情况Ⅱ)。通过消除液相和固相之间的温差,理论上证明了局部热平衡(LTE)模型是LTNE对应物的特例。分析预测表明,尽管稀疏化导致传热减少,但其他热物理参数(如比奥数,有效热导率,多孔介质形状因子和环空长宽比)的影响也起着重要作用。结果表明,从传热的角度看,CaseⅡ的构型优于CaseⅠ。

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