This study numerically investigates the effects of an aligned magnetic field on the behavior of Williamson nanofluid traversing a stretched sheet that is submerged in a porous medium while considering radiation and heat source/sink effects, along with convective limits on the border. The ordinary differential equations are derived from the corresponding partial differential equations using the similarity alteration technique. These equations are then solved using the fourth-order Runge-Kutta method combined with shooting practice. The impact of various values for the restrictions on the flow field profiles is analyzed and visualized graphically. To show the changes, graphs and tables are used for skin friction, Nusselt numeral, and Sherwood numeral across diverse flow conditions. An elevation in the magnetic restriction and permeability restriction contributes to the velocity field decreasing while improving the temperature and concentration distribution. The skin friction coefficient, Sherwood numeral, and Nusselt numeral are found to exhibit a decreasing trend in relation to the magnetic restriction, aligned angle restriction, Forchheimer numeral, and permeability restriction.
Khan et al. (Fri,) studied this question.