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The main perspective of this research focuses on addressing the pressing industry problem related to energy inefficiency by studying the heat transfer improvement of solar radiative and heat absorption/emission phenomena over a stretchable curved sheet inside the circle. To increase the model novelty, the combined influence of thermal relaxation, Newtonian heating, radiation mechanism, and Darcy-Forchheimer are included in the problem formulation of governing equations. Furthermore, this research employs the Cattaneo–Christov heat theory model to investigate the thermal flux via utilising the above-mentioned phenomenon with the purpose of advancing thermal technology. In this perspective, Molybdenum disulfide () with a base fluid of Propylene glycol is utilised as nanoparticles for nanofluid (NFs), and for making hybrid nanofluid (HNFs), Molybdenum disulfide () and silicon dioxide are …