Modeling and Analysis of Magneto-Hydrodynamic Sisko Nanofluid Flow over a Nonlinearly Stretchable Porous Sheet with Thermal Radiation

Abstract

This work examines the action of a magneto-Sisko fluid within a two-dimensional setting when it is subjected to a nonlinearly extensible sheet with a porous medium. The assessment considers the impacts of a continuous magnetic field, thermal radiation, and heat creation while also considering the implications of Brownian motion and thermophoresis diffusion. By employing appropriate similarity transformations, the sets of partial differential equations governing the system are transformed into a set of ordinary differential equations. These are then solved utilizing the NDSolve technique in MATHEMATICA. This research offers a tangible explanation for simulating and analyzing distinct flow properties, like concentration, temperature, and velocity profiles, in return for numerous influencing factors. These data reveal that raising the Sisko fluid parameter enhances the velocity profiles while reducing both the temperature and concentration curves. In addition, greater values of the power-law exponent and the nonlinear stretching coefficient result in reduced velocity, temperature, and concentration profiles. The results agree with the conclusions of previous investigations.