Brownian and thermal diffusivity impact due to the Maxwell nanofluid (graphene/engine oil) flow with motile microorganisms and Joule heating

Abstract Nanofluids have many applications in industries as well engineering such biomedicine, manufacturing, and electronics. Nanofluid is used for improvement of thermal mass transmission. Based on the aforementioned applications, present study, a two-dimensional Maxwell nanofluid with radiation effect existence motile microorganisms over vertically stretchable surface explored. The consequence heat absorption, efficiency flux porous medium, viscous dissipations, Joule heating impacts are considered. Brownian thermophoretic diffusion effects been evaluated. In addition, binary chemical reaction taken into account to evaluate magnetohydrodynamics (MHD) mixed convection flow. Graphene nanoparticles suspended so-called engine oil (base fluid). proposed liquid model depends governing nonlinear equations velocity, temperature, concentration nanoparticles, gyrotactic microorganisms. order transform highly partial differential ordinary equations, an appropriate similarity transformation exploited. For solution homotopy analysis method-technique Mathematica-12 used. fluctuation concentration, microorganisms’ characteristics numerous flow parameters discussed detail. Some important fallouts existing study that parameter, Eckert number, magnetic parameter lessen nanoliquid velocity. But fluid temperature becomes higher growing estimates motion factors. declining solutal profile. microorganism profile shows decrement bioconvection Lewis Rayleigh numbers. improved but velocity declined through augmentation volume fraction. Also, coefficient skin friction Nusselt number obtained versus various parameters.