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ABSTRACT The present article introduces a novel approach to evaluate the effects of Soret and Dufour on viscous dissipating hydromagnetic flow over the vertically tilted porous oscillating plate, considering chemical reaction, heat sources, and thermal radiation. The study uniquely combines flow past a wavering tilted porous plate, hydromagnetic flow with varying magnetic field inclinations, and the interplay of viscous dissipation and the Dufour and Soret effects. The model's nonlinear flow managerial dimensional PDEs were renewed into nonlinear dimensionless PDEs and solved using an effective finite element technique. The velocity, temperature, and concentration distributions are analyzed graphically counter to the most significant pertinent parameters of the model, and the skin friction, heat, and mass conveyance rates are deliberated by the tabular data at the surface using MATLAB software based on numerical solutions. The results depicted that higher viscous dissipation, heat source, permeability, and Soret and Dufour parameters expand the velocity distribution. The opposite conduct was realized in the velocity distribution due to the radiation, magnetic field strength, plate inclination angle, and aligned magnetic field. The heat causes viscous dissipation, and Dufour effects are triggered to enlarge temperature distribution, but it drops with thermal radiation. The concentration field is sustained by the time factor and the Soret effect but decays with the influence of chemical reactions. Further, the skin friction improved at the surface by the permeability parameter, while the plate tilt angle and devoted magnetic strengths hindered the skin friction. The mass transfer rate grows with chemical processes but decreases with thermo‐diffusion. The heat transfer rate grows at the surface with time and thermal radiation conditions. Considerably, integrating these diverse physical parameters in a single numerical study provides new insights into their combined effects on flow fields, contributing to advancing the knowledge of the hydromagnetic fluid flow performance under various influences in the porous media. Finally, a comparative examination with previous studies validated the precision and exactness of the findings.
Matao et al. (Sun,) studied this question.