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Flow and heat transfer of a generalized Maxwell fluid with modified fractional Fourier's law and Darcy's law

机译:具有修正分数傅里叶定律和达西定律的广义麦克斯韦流体的流动和传热

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摘要

We present an investigation for coupled flow and heat transfer of a generalized fractional Maxwell fluid in a porous medium between two infinite parallel plates. Unlike most classical works, the temperature dependent fluid properties (variable fluid viscosity and thermal conductivity) are taken into account by modified fractional Fourier's law and Darcy's law to describe the constitutive relations in highly coupled velocity and temperature fields in porous medium. The fractional governing equations are solved numerically using implicit finite difference method based on non-shifted Grunwald formula. The effects of pertinent physical parameters on the velocity and temperature fields are presented graphically and analyzed. (C) 2015 Elsevier Ltd. All rights reserved.
机译:我们目前对两个无限平行板之间的多孔介质中广义分数麦克斯韦流体的耦合流动和传热的研究。与大多数经典作品不同,修正分数傅里叶定律和达西定律考虑了温度相关的流体特性(可变的流体粘度和导热系数),以描述多孔介质中高度耦合的速度和温度场的本构关系。基于非移位格伦瓦尔德公式,使用隐式有限差分法对分数控制方程进行数值求解。有关物理参数对速度和温度场的影响以图形方式表示并进行了分析。 (C)2015 Elsevier Ltd.保留所有权利。

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