Analytical Analysis of Steady Magneto Casson Nanofluid Squeezing Flow Using Homotopy Analysis Method with Heat and Mass Transfer

Researchers are searching state-of-the-art materials continuously for solutions to our most pressing queries regarding regulating heat transfer and energy preservation. One viable strategy is to add small solid metal particles to common fluids to increase their thermal efficiency. Examining the properties of a steady-state magneto-Casson squeezing flow that takes heat and mass transfer into consideration was the aim of this work. The right way to solve the flow problem was to treat it as a time-independent system with a medium that contains permeability between the plates. The authors also examined the effects of thermophoresis, Brownian motion, and magnetic fields on the flow. To conduct the investigation, a similarity transformation was applied to the momentum, mass, and energy equations governing the flow of the system. This change resulted in a fifth-order nonlinear ordinary differential equation (NODE), which described the velocity profile. A second-order NODE that was coupled to this NODE managed the temperature and concentration distribution. The authors used the homotopy analysis method to obtain analytical results that were nearly correct. Following the acquisition of the solutions, more investigation was carried out to ascertain the impact of diverse elements on the temperature, concentration, and velocity profiles. Among these were skin friction, the Nusselt number, porosity, thermal radiation, thermophores, Prandtl, Levis, and Eckert numbers. Effective heat transfer is essential to many industries, including the automotive, microelectronics, defense, and industrial sectors. Cooling various devices and equipment effectively remains a major challenge, though. By applying this theoretical method to improve the heat transfer ratio, the authors hope to meet the demands of the engineering and industrial sectors.