Effects of prescribed surface temperature and heat flux with electrical conductivity via microbial chemotaxis to enhance nanoparticle

The purpose of the current investigations in to explore the three-dimensional magnetohydrodynamic (MHD) Oldroyd-B nanofluid flow over an exponential stretchable surface with variable thermal conductivity. Impact of thermal radiation and gyrotactic motile organism also incorporated in the present study. A fluid that has tiny particles, also referred to as nanoparticles, scattered throughout a base fluid is called a nanofluid. These nanoparticles can be formed from metals, oxides, carbon-based compounds, or other nanomaterials, and their usual sizes range from 1 to 100 nanometers. Water, oil, ethylene glycol, or other common liquids can be used as the foundation fluid. Because of their improved physical qualities, greater heat transfer, and thermal conductivity, nanofluids have many uses in a variety of sectors. Two type of boundary conditions are associated here like prescribed surface temperature (PST) and prescribed heat flux (PHF). Exploring nanoparticles influence on a fluid viscoelasticity, and vice versa, advanced understanding of three-dimensional nanofluid flow over a porous, stretchable surface. The research also probed microorganisms' and reactions' impact on heat/mass transfer. Employing MATLAB and a similarity approach converted Navier-Stokes equations into ordinary differential equations. Outcomes included velocity profile, temperature profiles, concentration profiles, and microbe behavior. Thus, this significantly contributed to modelling collectors and thermal storage. The concentration profile flattens when the Schmidt number $\left(\mathrm{Sc}\right)$ is increased, indicating that the fluid flow behavior is clearly influenced. Moreover, these findings established ways to improve energy systems' efficiency by elucidating heat transport and fluid flow parameters. This enables sustainable energy solutions to tackle global challenges. The influence of various convergence parameters is illustrated through graphically and in the form of table. Also, our results are validated with the previously published data and found tremendous agreement.