Dynamics of chemical reactions and temperature-dependent thermal conductivity in a viscous fluid over an oscillating curved surface.

This study addresses the critical analysis of heat and mass transfer within a time-dependent, viscous fluid flow over an oscillatory stretched curved surface, incorporating variable thermal conductivity and both homogeneous and heterogeneous chemical reactions. The research highlights the influence of heat generation and magnetic fields on energy and momentum equations, employing a curvilinear coordinate system to transform a complex physical problem into a tractable mathematical model. A homotopy analysis method is utilized to derive a convergent series solution for the resulting partial differential equations, enabling a comprehensive parametric investigation of temperature, velocity, concentration, and pressure fields. Extensive graphical and tabular analyses reveal how specific parameters, such as reaction strengths, radius of curvature, and Schmidt number, influence the surface concentration, heat and mass transfer rates, and skin friction coefficient. The insights provided are essential for applications in engineering and industrial processes involving curved surfaces under dynamic thermal and magnetic conditions, such as in chemical reactors, biomedical devices, and materials processing, where precise control of heat and mass transfer is critical for system efficiency and performance optimization.