Abstract
This presented work investigate the bio-convections effects of the magnetized time dependent axisymmetric flow of Carreau-nanomaterial performances with multiple slip effects over a stretching sheet. The momentum, heat, concentration and density of motile micro-organism are renovated into the system of equation via using well known similarity revolution. Well known Mathematical computational techniques and software (i.e. bvp4c and MATLAB) are used to draw graphical and tabular results. Velocity profile equation [Formula: see text], energy equation [Formula: see text], volumetric nanoparticles [Formula: see text], density motile microorganism [Formula: see text].The Carreau viscosity model is use to reduce the viscosity of fluid when [Formula: see text] and [Formula: see text]. Besides we moderate this into power law index with [Formula: see text] and [Formula: see text] partial slip condition of velocity is also instigated at the surface. Gravity dependent gyrotactic nanoparticles are utilized for well observing axisymmetric flow with convective boundary layer condition and comparatively better heat transfer rate result and applicable to maximum realistic approach.