Arrhenius energy and heat transport activates effect on gyrotactic microorganism flowing in maxwell bio-nanofluid with nield boundary conditions

Abstract

The growth of high-density heat devices necessitates efficient thermal conveyance. For these needs, the concept of nanofluid plays a vital role. A mathematical model is presented for evaluating the electrical conducting Maxwell nanofluid with heat and mass transfer over a porous stretched sheet in the existence of bioconvection. The bioconvection of swimming microorganisms, thermal radiation and Arrhenius energy are new facets of this investigation. The phenomena of heat transfer and Nield boundary conditions are considered. The higher-order non-linear governing partial differential equations (PDEs) are solved by applying appropriate similarity variables, and a resulting couple of ordinary differential equations (ODEs) are produced. The developing set of ODEs is solved numerically by utilizing a well-known shooting technique with MATLAB bvp4c built-in command and comparing the results with ND-Solve Command in MATHEMATICA 11. The graphs and tables for different physical quantities of interest together with non-dimension velocity, temperature, concentration and density of micro-organisms profiles are discovered for involving parameters like magnetic parameter, Brownian motion, Rayleigh number, Peclet number, Bioconvective Lewis number, the parameter of thermophoresis. The effect of numerous parameters on flow and heat transfer characteristics is debated. The velocity function shows a decrement response for Ha, while the opposite behaviour is seen against. These outcomes may be valuable in enhancing the productivity of heat transfer devices.