Mixed Convective and Nonuniform Internal Heat Generation Effect on Hydromagnetic Micropolar Fluid Flowing Across a Permeable Stretchy Wall: A Numerical Investigation

The quest to efficiently manage heat generation/absorption in industries, such as chemical production, mechanical machines, oil exploration, and aeronautical engineering, is in high demand. This study is conducted to examine the impacts of internal heat generation/absorption as well as unsteady mixed convection of the micropolar fluid through a permeable channel. The formulated nonlinear fundamental equations converted from partial differential equation to ordinary differential equation are numerically analyzed and solved using the Laguerre Collocation Method along with Gauss–Lobatto points. To verify the simulation's accuracy, validation is performed via shooting technique with the fourth-order Runge–Kutta method acting as the control method with the aid of Mathematica 11.0 software. The behavior of the flow was influenced by various physical parameters, which were analyzed using plots and tables. Impacts of skin friction, Sherwood number, and Nusselt number are evaluated. The findings reveal that an improvement in the micropolar term leads to an enhancement in temperature and velocity while angular momentum declines. Additionally, it was revealed that an increase in nonuniform heat generation parameters, magnetic term, and Eckert number improves the temperature profile, while the greater Grashof number results in an enhancement in the velocity profile.