Abstract
Nowadays, the first most crucial condition of modern technological activities is exceptional refrigeration efficiency for standard construction. The thermal and mass efficiency of nanofluid is identified by the Buongiorno relation assessment, which encourages us to specify novel qualities of thermophoretic diffusion and random motion. Nanofluid mechanisms are accomplished in numerous fields like heat exchanger, solar water heating, and vehicle thermal control. The suggested thermoelectric system depends on the density of the flow, the heat of nanomaterial, the fractional volume of nanomaterial and the motile microorganisms. Ferromagnetic-nanoparticles have become extremely popular in bio-technology due to the vast applications in the field. Various technical and mathematical constraints are accounted in order to produce more beneficial data. The necessary conversion method is used to transform a system of PDEs into a collection of non-linear ordinary differential equations. Such transformed expressions are evaluated numerically by the MATLAB function bvp4c by using the shooting scheme. Some observations are elaborated in the literature dealing with the bio-convection process and other unique characteristics. Graphs are shown for the formulation of various flow factors that influence the dimensionless quantities. Current theoretical model may be useful in manufacturing methods, energy transfer upgrades and thermal energy.