Dissipation in Maxwell Forchheimer Flow across a Stretchable Permeable Sheet characterized by Nonuniform Heat Source, Linear and Non-Linear Convections with RSM-Based Analysis

• Forchheimer flow of a non-Newtonian Maxwell fluid that is reacting chemically across a stretched sheet, taking into account the Cattaneo - Christov heat flux • The non-linear ODEs are derived from a set of PDEs using similarity transformation and Matlab sources bvp4c are integrated into the system. • Skin friction and Nusselt number are anticipated to have proven connections using RSM. • The different results that are shown include concentration, temperature, and velocity. This research investigates the Forchheimer flow of a non-Newtonian Maxwell fluid that is chemically reacting across a stretched sheet, taking into account the Cattaneo-Christov heat flux with a nonuniform heat source and non-linearized thermal and solutal convection. The nonlinear ODEs are derived from a set of PDEs that describe the movement of the fluid. After properly defining the non-dimensional variables and applying similarity transformations, the BVP4C method is used to solve these equations numerically. Different active parameters are studied for their effects on the concentration, temperature, and velocity profiles. It also includes tabular representations of the computed values for an application, the Skin friction, Sherwood number, and Nusselt number. The phenomenon of thermal radiation and heat source/sink is examined. Leveraging these new implications enables the design of efficient medication delivery, coating, and filtering systems by providing insight into particle deposition behavior. A significant benefit of the study is the ability to model the performance of certain polymers and geomaterials that are exclusively dependent on heat transfer processes. The coefficients of determination (R2) were greater than 0.98 for Cf, Nu, and Sh, indicating excellent agreement between predictions and computations. Nusselt numbers increased by 25–40% as thermal Grashof numbers increased, while changes in suction parameters affected heat transfer rates by 15–20%.