Analysis and modeling of magnetic dipole for the radiative flow of non‐Newtonian nanomaterial with Arrhenius activation energy

Abstract

The present investigation deliberates the impact of the magnetic dipole for the flow of non‐Newtonian Williamson nanoliquid by considering the thermal radiation and chemical reaction defined by the Arrhenius model. The flow model is established by incorporating the well‐known Buongiorno's nanofluid model, and as a result, Brownian motion and thermophoretic diffusion are assimilated in mathematical modeling. The heat transportation process is accomplished by thermal radiation, heat generation owing to internal energy generation/absorption of the fluid, and viscous dissipation. The coupled nonlinear mathematically formulated partial differential equations (PDEs) are metamorphosed into the ordinary differential equations (ODEs) through the transformation. The bvp4c method is utilized to obtain the solution of formulated ODEs together with the additional conditions at the boundary. The impact of pertinent flow characteristics on temperature, velocity, and concentration profiles is outlined graphically. Also, the strength of energy, surface drag force, and mass transport are calculated and formed in the tabular form. The outcomes show that a rise in activation energy causes fluid concentration to increase. Velocity gets reduced with the increment in either ferrohydrodynamic interaction factor or Weissenberg number.