Dynamics of Williamson Ferro-nanofluid due to bioconvection in the portfolio of magnetic dipole and activation energy over a stretching sheet

Abstract

The significance of the present work is that it is very useful in different fields of bio-engineering and engineering including magnetic drug targeting systems, magnetic hyperthymia, directing of magnetic drugs and etc. This paper explored the mechanical features of the magnetic dipole, activation energy and chemical reaction over the MHD flow of two-dimensional non-Newtonian Williamson Ferro-nanofluid under the stretched surface. The main aim of using the magnetic dipole effect in this problem is to control the momentum and thermal boundary layer thickness with the combining impact of nanofluid. As a result, the current approach is extremely valuable for controlling the thickness of thermal and momentum boundary layers. The thermal radiation and heat source/sink impacts are included in the heat equation for the calculation of heat transmission phenomena. The role of the gyrotactic microorganisms is discussed in the present analysis. The influence of Brownian motion and thermophoresis are also examined. The present mechanical system is formulated in the form of the higher-order PDEs and these nonlinear PDEs are relocated into the nonlinear higher-order ODEs by using the suitable similarity transformations. In the methodology section, for the solution of these highly nonlinear ODEs, the homotopic analysis scheme is employed. The effects of distinct flow parameters on the velocity, temperature, concentration and motile gyrotactic microorganism of the Williamson nanoliquid are scrutinized and discoursed in a graphical form. The following are some key outcomes from this analysis, it is predicted that the speed of the nanoliquid particles is lesser for nanoparticle volume fraction. Also, it is examined that the activation energy boosted the nanofluid concentration. Computation for streamline is performed in the present study.