Variable viscosity effects on dynamic of non-Newtonian fluid nanofluid over a paraboloid of revolution via Keller box method

The variable viscosity effects on MHD flow of Boger nanofluid due to paraboloid of revolution with chemical reactive species is investigated. It is assumed that the base fluid has a uniform suspension of nanoparticles, and Reynolds exponential viscosity model has been employed. Intensification in thermal transport of base fluids has drawn our attention to increasing thermal conductivity. Similarity transformation is active to reach the partial differential equations into ordinary differential form but boundary layer approximation is utilized for the governing equations. For numerical suction, we considered Keller box method as tool for numerical simulation to obtain the flow field of velocity, heat and volume friction profile. The leading factors of model are varied in their appropriate limits, to visualize their part as graphically. It has been observed that Boger fluid becomes extremely flexible at constant values of viscosity due to which the velocity profile f^′(ζ) is directly increased with large values of the solvent fraction parameter β₂ while ratio of relaxation time parameter β₁ indicates the tendency to be decreased the velocity profile. It is observed that the fluid velocity for variable viscosity is slower but it is higher at constant values of λ, and an opposite trend is reported in temperature profile. The skin friction -f^″(0) is boosted but opposite trend is observed in local Nusselt -θ^′(0) and local Sherwood numbers -ϕ^′(0) with the increasing values of magnetic parameter.