MHD Mixed Convection Flow Over a Permeable Vertical Flat Plate Embedded in a Darcy–Forchheimer Porous Medium

IF 2.7 3区工程技术 Q3 ENGINEERING, CHEMICAL

Transport in Porous Media Pub Date : 2024-09-10 DOI:10.1007/s11242-024-02124-6

John H. Merkin, Natalia C. Roșca, Alin V. Roșca, Ioan Pop

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Abstract

The purpose of this paper is to describe the stead MHD mixed convection flow over a permeable vertical flat plate embedded in a Darcy–Forchheimer porous medium. Using appropriate similarity variables, the partial differential equations are transformed into ordinary (similar) differential equations, which are numerically solved using the bvp4c function in MATLAB. The numerical results are used to present graphically and in tables, illustrations of the reduced skin friction, reduced Nusselt number, velocity, and temperature profiles. Dual (upper and lower branch) solutions are discovered in this exciting analysis. Although numerous studies on the mixed convection past a vertical plate embedded in a fluid-saturated porous medium exist, none of the researchers have focused on the Darcy–Forchheimer flow with asymptotic solutions. The behavior of the flow and heat transfer has been thoroughly analyzed with the variations in governing parameters, such as Darcy–Forchheimer \(G,\) suction/injection \(S\), MHD \(M,\) and mixed convection \(\lambda\) parameters.

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嵌入达西-福克海默多孔介质的可渗透垂直平板上的 MHD 混合对流

本文旨在描述嵌入达西-福克海默多孔介质的可渗透垂直平板上的稳定 MHD 混合对流。利用适当的相似变量，将偏微分方程转换为常（相似）微分方程，并使用 MATLAB 中的 bvp4c 函数对其进行数值求解。数值结果以图形和表格的形式展示了减小的表皮摩擦、减小的努塞尔特数、速度和温度曲线。在这一令人兴奋的分析中发现了双重（上分支和下分支）解决方案。尽管对嵌入流体饱和多孔介质中的垂直板上的混合对流进行了大量研究，但没有任何研究人员关注过具有渐近解的达西-福克海默（Darcy-Forchheimer）流动。随着达西-福克海默（Darcy-Forchheimer）（G,\）吸入/注入（S,\）、MHD（M,\）和混合对流（\lambda\）参数等控制参数的变化，流动和传热行为得到了深入分析。

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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).