Electromagnetic radiation and convective slippery stipulation influence in viscous second grade nanofluid through penetrable material

This article focuses on magneto hydrodynamic (MHD) secretion of secondary fluid in an expanded area. The dominant type is controlled by suction (injection) and viscous discharge. The Tiwari-Das nanofluid model is the primary reference for the governing model. The final equations obtained from this model are solved by implementing the shooting technique, where this technique contains a fourth-order method of the Runge-Kutte method. In addition, the final values (in standard ODE divisions) are produced out of statistical parameters (PDEs) that guided the governing model at the start. The variations for all parameters are demonstrated through visual solutions. It has been found that the distribution of thermal energy decreases as the solid volume fraction rises, but velocity decreases in conjunction. The temperature of the fluid and the Nusselt number rise as B⁢sBs values are enhanced. The Nusselt number and temperature distribution are affected by rising values of N⁢rNr and E⁢cEc.