The magnetized flow of Newtonian/non‐Newtonian fluid across a curved surface with reaction kinetics and non‐Fourier heat transfer

This study aims to compare the dual solutions of the problem describing the magnetized motion of a Newtonian and second‐grade fluid induced by a curved stretching/shrinking surface using the associations of homogeneous–heterogeneous reaction and Cattaneo–Christov model. The model is further developed using the properties of convective heat transfer, suction velocity, Joule heating, heat source/sink, and viscous dissipation with the porous medium. The relevant transformations are applied to the governing partial differential equations (PDEs) resulting in the system of nonlinear ordinary differential equations (ODEs). The solution technique makes use of the computational scheme in MATLAB known as the bvp4c technique. All relevant findings are obtained using a wide range of dimensionless parameters. The Cattaneo–Christov model and the second‐grade fluid transmits heat faster than the classical Fourier law and Newtonian fluid as well as the heat transfer rate of both fluids was found to drop as the values of Eckert number and curvature parameter enhances. Moreover, the Newtonian fluid has lower friction drag than the second‐grade fluid and the concentration of the bulk fluid is declined by the rising values of hetrogeneous and homogeneous reaction parameter. With potential applications in a variety of engineering fields, including thermal management systems and nanofluid‐based technologies, this work is significant for understanding MHD flow of second‐grade nanofluids over curved surfaces, incorporating heterogeneous reactions and the Cattaneo–Christov model. The results also aid in improving heat transfer efficiency and understanding of fluid behavior under various parameter situations, providing information for improving industrial processes and advanced materials engineering design considerations.