Drag of Rankine bodies embedded in porous media at small Darcy numbers

IF 1.9 4区工程技术 Q3 MECHANICS

Mechanics Research Communications Pub Date : 2024-08-05 DOI:10.1016/j.mechrescom.2024.104319

C.Y. Wang

引用次数: 0

Abstract

This paper studies the flow over a solid inclusion embedded in a porous medium of low permeability. We study Rankine bodies which represent circular cylinders and spheres when the aspect ratio is one, and thin plates and almost uniform rods when the aspect ratio is small. Using boundary layer theory, the flow field and pressure distribution are determined. It is found that the pressure drag dominates the shear drag except for small aspect ratios. Thus, geometry plays a decisive role in the choice of using the Darcy equation or the Darcy-Brinkman equation. The results are important for the determination of flow resistance of a non-homogeneous porous medium which has solid inclusions.

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嵌入多孔介质中的朗肯体在小达西数下的阻力

本文研究了嵌入低渗透性多孔介质中的固体包裹体上的流动。我们研究了朗肯体，当长径比为 1 时，朗肯体代表圆柱体和球体；当长径比很小时，朗肯体代表薄板和几乎均匀的棒。利用边界层理论确定了流场和压力分布。结果发现，除了较小的纵横比之外，压力阻力主导剪切阻力。因此，在选择使用达西方程还是达西-布林克曼方程时，几何形状起着决定性作用。这些结果对于确定含有固体夹杂物的非均质多孔介质的流动阻力非常重要。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanics Research Communications 物理-力学

CiteScore

4.10

自引率

4.20%

发文量

114

审稿时长

9 months

期刊介绍： Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.