Unsteady Rotating MHD Jeffreys Fluid Flow with Thermal Radiation and Chemical Reaction Effects

Resumo

This study examines the unsteady magnetohydrodynamic (MHD) flow of a Jeffreys fluid in a rotating porous medium, incorporating thermal radiation, chemical reaction, and buoyancy effects. The governing momentum, energy, and mass equations are developed and analytically solved using the Laplace transform. The impacts of key dimensionless parameters magnetic field (M), permeability (K), rotation (Ω), thermal and solutal Grashof numbers (Gr, Gm), Prandtl number (Pr), Schmidt number (Sc), and reaction parameter (γ) on velocity, temperature, and concentration profiles are analyzed.

            Results show that magnetic effects reduce fluid velocity due to the Lorentz force, while rotation modifies both primary and secondary velocities. Buoyancy forces enhance convective strength, and thermal radiation elevates temperature levels, particularly at higher Prandtl numbers. Concentration gradients intensify with increasing Schmidt number and reaction rate. Engineering parameters, including skin friction, Nusselt number, and Sherwood number, are evaluated, revealing a decrease in skin friction with stronger magnetic fields.