Thermal, Mass, and Flow Analysis of Time‐Dependent Hydromagnetic Viscoelastic Fluid Over a Porous Stretching Sheet With Radiation and Heat Flux

ABSTRACT This study examines the time‐dependent flow, mass, and heat transmission of a hydromagnetic viscoelastic fluid, which is modeled using Walters Liquid Model B′. The fluid is introduced over a stretching, permeable sheet that is embedded in a porous medium. The effects of mass suction/blowing, heat flux, and thermal radiation are taken into account. Utilizing similarity transformations, the flow‐regulated equations are transformed into a self‐similar form, and MATLAB's bvp4c solver is applied to determine the numerical solution. The findings reveal that the growth of viscoelasticity, unsteadiness, magnetic influence, and permeability contribute to a rise in velocity, while these same parameters cause a reduction in fluid temperature. Suction and blowing further reduce velocity and temperature, whereas thermal radiation increases temperature, and a greater Prandtl number inhibits thermal diffusion. Furthermore, flow‐dominant factors result in a reduction in species concentration. These findings pertain to industrial and biological systems where magnetic fields, thermal radiation, and surface permeability influence flow and heat transfer, including increased oil recovery, thermal treatments, and solar energy applications.