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首页> 外文期刊>International Journal of Heat and Mass Transfer >Analysis of heat transfer and entropy generation for a thermally developing Brinkman-Brinkman forced convection problem in a rectangular duct with isoflux walls
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Analysis of heat transfer and entropy generation for a thermally developing Brinkman-Brinkman forced convection problem in a rectangular duct with isoflux walls

机译：等温壁矩形管中热发展的布林克曼-布林克曼对流强迫问题的传热和熵产生分析

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摘要

Heat transfer and entropy generation analysis of the thermally developing forced convection in a porous-saturated duct of rectangular cross-section, with walls maintained at a constant and uniform heat flux, is investigated based on the Brinkman flow model. The classical Galerkin method is used to obtain the fully developed velocity distribution. To solve the thermal energy equation, with the effects of viscous dissipation being included, the extended weighted residuals method (EWRM) is applied. The local (three-dimensional) temperature field is solved by utilizing the Green's function solution based on the EWRM where symbolic algebra is being used for convenience in presentation. Following the computation of the temperature field, expressions are presented for the local Nusselt number and the bulk temperature as a function of the dimensionless longitudinal coordinate, the aspect ratio, the Darcy number, the viscosity ratio, and the Brinkman number. With the velocity and temperature field being determined, the second law (of thermodynamics) aspect of the problem is also investigated. Approximate closed form solutions are also presented for two limiting cases of MDa values. It is observed that decreasing the aspect ratio and MDa values increases the entropy generation rate.
机译：基于Brinkman流动模型，研究了壁截面保持恒定且均匀的热通量的矩形横截面的多孔饱和管道中热发展强迫对流的传热和熵产生分析。经典的Galerkin方法用于获得完全展开的速度分布。为了解决热能方程式，考虑了粘性耗散的影响，应用了扩展加权残差法（EWRM）。通过使用基于EWRM的格林函数解来求解局部（三维）温度场，其中使用了符号代数以方便表示。在计算温度场之后，根据无因次纵坐标，长宽比，达西数，粘度比和布林克曼数，给出了局部Nusselt数和体温的表达式。确定速度和温度场后，还研究了问题的第二定律（热力学）。还给出了两种极限情况下MDa值的近似闭合形式解。可以看出，降低纵横比和MDa值会增加熵的产生速率。

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