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Examines heat and mass transfer in hydro-magnetic flow through porous medium, indicating optimization for material processing applications.
Objectives To examine the response of Hall and ion-slip currents on transient hydro-magnetic convective flow through a vertical indefinite absorbent sheet. Analyzing the impacts of species reactions and thermo-diffusion on thermal and mass distribution. To explore the reaction of dissipation and porous medium under the flow boundary conditions. To obtain a computational outcome for the governing non-dimensional equations via the Finite Element Method (FEM). To evaluate the local heat and species gradients for varying thermodynamic parameters. To graphically and numerically analyze the sensitivity of the velocity, thermal, and mass fields to different flow parameters. Research Gap In a porous media vertical plate structure, the combined effects of Hall current, ion-slip, chemical reaction, Soret and Dufour effects, and viscous dissipation are not taken into account in the majority of the literature currently in publication. Few research use the FEM to study unsteady flow behavior with coupled thermal and solutal diffusion processes. In complicated geometries, the relationship between electromagnetic forces and reactive diffusion processes is still poorly understood. Applications to the Present Research aids in the optimization of high-temperature material processing and reactor cooling systems. Pertinent for simulating plasma flows around re-entry vehicles with Hall and ion-slip phenomena. Beneficial for designing chemical reactors that use thermal diffusion and catalytic processes. Can be used to predict the dispersion of pollutants in groundwater systems or porous environments. provides information about simulating blood flow in porous Using chemical reaction, thermo-diffusion (Soret effect), and diffusion-thermo (Dufour effect) processes, this study examines the combined effects of Hall and ion-slip currents on unstable hydro magnetic free convective flow via an infinite vertical porous plate. Additionally, the impact of porous media and viscous dissipation on the formation of boundary layers is investigated. The Finite Element Method (FEM) is used to define and quantitatively solve the governing non-dimensional equations for momentum, energy, and concentration. According to the computational results, momentum transfer is strengthened as the velocity field is greatly increased with rising Hall and ion-slip parameters. On the other hand, larger magnetic fields and chemical reaction parameters result in a thinner thermal barrier layer, which improves heat transfer rates. In a similar vein, increased mass transfer is indicated by a decreased concentration boundary layer under stronger chemical reaction and diffusion effects. Heat and mass transmission properties are shown to be significantly enhanced by the Soret and Dufour effects. Moreover, increased thermal and solutal transport for raising reaction and cross-diffusion parameters is confirmed by variations in local Nusselt and Sherwood numbers. This study is interesting because it uses FEM to simultaneously investigate Hall current, ion-slip, chemical reaction, Soret and Dufour effects, and viscous dissipation in a porous media under unstable conditions—a topic that is seldom covered in the literature.The findings of this study are relevant to applications such as nuclear reactor cooling, MHD power generation, plasma flow modeling, chemical reactors, and transport phenomena in porous media.
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Sheri et al. (2026) studied this question.
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