Stagnation point flow of Sutterby fluid over a stretching sheet with an inclined magnetic field: gradient descent method

This mathematical marvel for Sutterby fluid with melting heat transfer, angled magnetic field, and stagnation point uses first- and second-order slip at the boundaries to present flow along a stretching sheet. The Cattaneo–Christov heat flux model is used to study heat transfer properties on a stretching sheet. The shooting technique is employed to solve these equations numerically. Upon careful analysis and graphical presentation, the acquired data provide a significant understanding of how different physical parameters affect the flow properties. Specifically, the study explores the function of parameters, including the melting parameter, velocity ratio, Deborah number, and temperature and velocity field distributions. Furthermore, by integrating optimization theory concepts, the work closes the gap between statistical modelling and fluid dynamics. By using objective function data from each iteration, the iterative optimization method improves the model’s predictive accuracy and makes it easier to approximate optimal solutions. It is reported that with increasing velocity ratio, fluid velocity accelerates. The fluid temperature in first- and second-order slip falls as the Deborah number rises. This research advances the theoretical knowledge and real-world applications of fluid dynamics and computational modelling. The knowledge acquired from this research has applications in environmental science, materials processing, engineering design, and other domains.