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Analysis of heat flux bifurcation inside porous media incorporating inertial and dispersion effects - An exact solution

机译:结合惯性和分散效应的多孔介质内部热通量分叉分析-精确的解决方案

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摘要

The phenomenon of heat flux bifurcation inside a porous medium is analyzed by studying the convective heat transfer process within a channel partially filled with a porous medium under Local Thermal Non-Equilibrium (LTNE) conditions. Either the thermal dispersion effect or the inertial effect is considered in the physical model. Exact solutions are derived for both the fluid and solid temperature distributions for three interface thermal models at the porous-fluid interface. The required conditions for validity of each interface thermal model are obtained, and the equivalence correlations between different interface thermal models are developed. The range of validity of the Local Thermal Equilibrium (LTE) condition is established, and the phenomenon of heat flux bifurcation inside a porous medium is established and demonstrated for the first time in the literature. Furthermore, the Nusselt number is obtained and investigated for pertinent parameters. The ranges of physical parameters in which the thermal dispersion effect and the inertia effect are important are established.
机译:通过研究局部热非平衡(LTNE)条件下部分填充有多孔介质的通道内的对流传热过程,分析了多孔介质内部的热通量分叉现象。在物理模型中考虑了热扩散效应或惯性效应。对于多孔流体界面处的三个界面热模型,得出了流体和固体温度分布的精确解。获得了每个界面热模型有效性的必要条件,并建立了不同界面热模型之间的等效关系。建立了局部热平衡(LTE)条件的有效范围,并建立了多孔介质内部的热通量分叉现象,并首次在文献中进行了证明。此外,获得了努塞尔数并研究了相关参数。确定了其中热分散效应和惯性效应很重要的物理参数范围。

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