MHD hyperbolic tangent Casson-Williamson nanofluid over a linearly stretching sheet with thermophoresis and brownian motion

The main aim of this research is to investigate the effects of Brownian motion and Thermophoresis on an MHD hyperbolic tangent Williamson-Casson nanofluid passing over a stretching sheet. Through appropriate similarity transformations, non-linear partial differential equations governing the model can give rise to non-linear ordinary differential equations. These equations are solved numerically using the Keller-Box method. The quantities related to engineering aspects, such as skin friction, Sherwood number, heat exchange and the various effects of quantifiers on momentum, temperature, and concentration are illustrated with examples for better understanding. For the sake of accuracy, the computational resolution of this research is limited to the published data and is derived from the Keller-Box approach. Heat exchangers, chemical reactors, and thermal management systems are just some of the technological applications for which the study's conclusions may have broad implications. Skin friction increases with Casson and Williamson parameters. For both the fluids, mass transfer is accelerated with Brownian effect while heat transfer decelerates with Thermophoresis effect. The combination of Casson-Williamson characteristics, hyperbolic tangent fluid dynamics and MHD provides a novel way of understanding non-Newtonian fluids in the presence of magnetic fields.