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Thermally developing forced convection in a channel occupied by a porous medium saturated by a non-Newtonian fluid

机译:在由非牛顿流体饱和的多孔介质占据的通道中热发展强迫对流

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摘要

The classical Graetz methodology is applied to investigate the thermal development of forced convection in a parallel plate channel rilled by a saturated porous medium, with walls held at constant temperature, for the case of a non-Newtonian fluid of power-law type. A Brinkman-Forchheimer model is used for the momentum equation. The analysis for the case of small modified Darcy number leads to expressions for the local Nusselt number and average Nusselt number as functions of the dimensionless longitudinal coordinate, the power-law index, a modified Darcy number, and a modified Reynolds-Forchheimer number (with the last three parameters being involved via a boundary-layer thickness).
机译:对于幂律类型的非牛顿流体,采用经典的Graetz方法研究由饱和多孔介质钻成的平行板通道中强迫对流的热发展,壁壁保持恒温。动量方程使用Brinkman-Forchheimer模型。对于较小的修正Darcy数的情况进行分析,得出了局部Nusselt数和平均Nusselt数的表达式,这些表达式是无量纲纵向坐标,幂律指数,修正的Darcy数和修正的Reynolds-Forchheimer数(具有最后三个参数通过边界层厚度来确定)。

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