Analysis of heat transfer in Casson fluid flow due to aligned flat plate with leading edge accretion and slip boundary conditions

This study explores the application of Casson fluid in cooling systems for rolling mills and heat exchangers, with an emphasis on reducing leading-edge accretion and optimizing heat transfer efficiency. By building on current optimization practices in metallurgical plants and power generation facilities, our research provides a structured approach to enhancing operational efficiency and reducing costs related to heat management and accretion. Our objective is to advance the understanding and use of non-Newtonian Casson fluids in managing leading-edge accretion, ultimately contributing to the development of more efficient and resilient materials for high-temperature applications. In this work, we analyze the unsteady flow of Casson fluid over an aligned flat plate with a moving slot, incorporating slip boundary conditions. The combined influence of these physical factors offers a comprehensive view of the complex interactions in such systems, which are relevant for industrial processes and advanced material manufacturing. The boundary layer equations are converted to nonlinear ordinary differential equations using the Blasius-Rayleigh-Stokes similarity variable. Solving these equations employs the shooting method in Matlab, where the Runge-Kutta-Fehlberg approach assesses convergence of the numerical solution. We present our findings with visualizations that illustrate the influence of various dynamic parameters on the flow field. This comparative study shows that non-Newtonian fluids improve heat retention, thermal stability, and energy efficiency. They enhance solutal mixing, reduce fouling, lower surface friction, and improve flow control, making them ideal for industrial applications. Non-Newtonian fluids offer better heat transfer, reduce particle deposition, and allow precise control over thermal and solutal properties, making them suitable for cooling systems, lubrication, and nanofluidic applications. Replacing water-based coolants with non-Newtonian Casson-type fluids boosts heat and mass transfer, operational efficiency, and system longevity. Future research should focus on optimizing these fluids under dynamic conditions to further enhance their performance in industry.