Thermal and Mass Diffusion Effects in Magnetohydrodynamic Flow of a Reactive Nanofluid Over an Exponentially Accelerating Porous Medium

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Abstract

This study analyzes thermo-diffusion and diffusion-thermo impacts on a heat-absorbing, radiative, MHD Brinkman-type nanofluid flow over an exponentially accelerating porous plate embedded in a permeable medium. The model incorporates ramped temperature and concentration, viscous dissipation, and chemical reaction. Non-dimensionalization via similarity scaling yields a system of PDEs solved using an explicit finite difference method. Results, presented graphically and in tables, reveal that nanofluid velocity and temperature intensify with rising Eckert number, Dufour number, and radiation, but decline with heat absorption. Elevated Soret numbers enhance velocity and concentration, while chemical reactions suppress them. Velocity is dampened by Brinkman resistance, magnetic field, and nanoparticle volume fraction, but bolstered by porosity. Skin friction reduces with stronger Brinkman and radiative effects under both thermal regimes.

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