<p>This study investigates the catalytic tangential hyperbolic flow of a C₂H₆O₂–H₂O-based hybrid Hartmann nanofluid over a stretching sheet, considering the effects of nonlinear thermal radiation and a non-uniform heat source. The influence of various physical parameters, including the Weissenberg number, magnetic parameter, radiation parameter, heat generation/absorption parameters and the thermal slip factor, on the velocity, induced magnetic field and temperature profiles are comprehensively analysed. Additionally, the study examines the homogeneous–heterogeneous reactions, skin friction coefficient and Nusselt number under varying physical constraints. The governing partial differential equations are transformed into a system of ordinary differential equations using similarity transformations and the bvp4c solver in MATLAB and then used to solve the equations numerically. The results indicate that the axial velocity and Hall effect decrease with increasing stretching parameter and induced Prandtl number, whereas they improve as the Weissenberg number and magnetic parameter increase. The temperature profile is found to rise with an increase in heat generation, absorption and radiation parameters. Hybrid nanofluids outperform mono-nanofluids in terms of thermal performance. It is anticipated that the results of this study will offer important new information for designing effective thermal systems and may serve as a reference for future research on advanced heat transfer applications involving hybrid nanofluids and complex flow geometries.</p>