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The aim of this study is to characterize the Cattaneo-Christov heat flux in magnetohydrodynamics (MHD) radiative flow of Williamson nanofluid through a stretched sheet when confronted with heat source, Arrhenius activation energy and motile microorganisms. Also, the Darcy-Forchheimer model is a widely used and precise technique for modeling fluid dynamics in porous medium. The controlling partial differential equations (PDE) are minimized to ordinary differential equations (ODE) using suitable similarities. The final outcomes were computed numerically using the BVP4C MATLAB interface. The graphical portrayal serves to comprehensively show and build upon the effect of several aspects. The results reveal the increased velocity distribution with the intensifying values of magnetic field, porosity, suction, and Forchheimer number. The thermal gradient is enhanced with the increase in heat source, and radiation, while it diminishes with the augmentation of the thermal relaxation parameter. Furthermore, the concentration maximizes when the activation energy is large. This research shows a favorable link between Peclet quantity and motile microbe density. Additionally, this work numerically analyses and tabulates important engineering metrics such as skin friction, Nusselt number, Sherwood number, and motile density number. The present study has huge interest due to its applications such as food processing, crystal formation in rocks, microelectronic semiconductors, crystal fiber, electronic power plants, and many more.
Malleswari et al. (Fri,) studied this question.