Heat transfer in a Jeffrey dusty fluid microchannel under Newtonian heating

Jeffrey-type dusty fluid flow, combined with the effects of Newtonian heating, plays a critical role in numerous engineering applications, particularly in systems requiring thermal regulation such as nuclear reactors and gas-freezing equipment. This study explores the influence of Newtonian surface heating on the flow behavior of a Jeffrey dusty fluid within a porous medium bounded by two parallel plates. One of the plates moves with a constant velocity, inducing motion in the fluid. The analysis is carried out under a two-phase magnetohydrodynamic (MHD) framework, assuming that the suspended dust particles are uniformly distributed and spherical in shape. The governing flow equations are derived as partial differential equations, and the Poincaré–Lighthill perturbation method is employed to derive analytical solutions. The research presents detailed velocity and temperature distributions, as well as tabulated values for skin friction and the rate of heat transfer. The findings indicate that increasing the magnetic field intensity leads to a reduction in fluid velocity, while Newtonian heating significantly alters the temperature near the moving plate.