Modelling of the Forchheimer-Extended Darcy–Brinkman–Boussinesq Flow Through a Thin Channel

IF 2.6 3区工程技术 Q3 ENGINEERING, CHEMICAL

Transport in Porous Media Pub Date : 2025-09-27 DOI:10.1007/s11242-025-02233-w

Marko Radulović, Karol Hajduk, Luka Tolj

引用次数: 0

Abstract

In this paper, we study the Forchheimer-extended Darcy–Brinkman–Boussinesq fluid flow through a thin channel filled with porous medium using methods of asymptotic analysis. The fluid inside the channel is cooled (or heated) by the surrounding medium, and the flow is governed by the prescribed pressure drop between the pipe’s ends. Employing asymptotic analysis with respect to the small parameter representing the channel’s thickness, we derive a first-order asymptotic approximation for the velocity, pressure and temperature. The velocity approximation explicitly acknowledges the thermal effects as well as the inertial effects. These effects are clearly visualized in the provided numerical examples. Finally, we rigorously justify the obtained asymptotic model via the error estimates in suitable norms in order to indicate the order of accuracy of the proposed approximate solution.

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薄通道Forchheimer-Extended Darcy-Brinkman-Boussinesq流的模拟

本文用渐近分析方法研究了Forchheimer-extended Darcy-Brinkman-Boussinesq流体在充满多孔介质的薄通道中的流动。通道内的流体被周围介质冷却（或加热），流动由管道两端之间规定的压降控制。利用对代表通道厚度的小参数的渐近分析，我们导出了速度、压力和温度的一阶渐近近似。速度近似明确地承认热效应和惯性效应。这些影响在所提供的数值例子中清晰地可视化。最后，我们通过适当范数下的误差估计严格证明所得到的渐近模型，以表明所提出的近似解的精度等级。

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

Transport in Porous Media 工程技术-工程：化工

CiteScore

5.30

自引率

7.40%

发文量

155

审稿时长

4.2 months

期刊介绍： -Publishes original research on physical, chemical, and biological aspects of transport in porous media- Papers on porous media research may originate in various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering)- Emphasizes theory, (numerical) modelling, laboratory work, and non-routine applications- Publishes work of a fundamental nature, of interest to a wide readership, that provides novel insight into porous media processes- Expanded in 2007 from 12 to 15 issues per year. Transport in Porous Media publishes original research on physical and chemical aspects of transport phenomena in rigid and deformable porous media. These phenomena, occurring in single and multiphase flow in porous domains, can be governed by extensive quantities such as mass of a fluid phase, mass of component of a phase, momentum, or energy. Moreover, porous medium deformations can be induced by the transport phenomena, by chemical and electro-chemical activities such as swelling, or by external loading through forces and displacements. These porous media phenomena may be studied by researchers from various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering).