An Exploratory Analysis of MHD Non-Newtonian Nanomaterial Fluids Flow Across an Exponential Elongated Sheet

This paper aims to calculate the temperature, mass diffusion and flow characteristics of the boundary layer of Casson and Carreau fluids through an exponentially expanding surface where the normal flow of nanomaterials with magnetic properties is zero. In addition, the Buongiorno paradigm represents an even more plausible scenario in which passively controlled nanoparticles are considered at the surface. After that, an effective shooting method based on Runge-Kutta is applied to solve the modified equations. Plots are used to analyse the effects of viscous dispersion, radiant heat and the joule influence of the chosen flow control variables on the conventional profiles, including speed, temperature, and mass diffusion. A tabular representation of the numerical approach for the friction component and Nusselt number is provided. The Lorentz force significantly impacts Carreau fluid in contrast to Casson fluid.