Multiple solutions for gravity-driven thermally heated material of dissipative Ohmic hybrid nanofluids

Purpose Hybrid nanofluids have remarkable characteristics for improving the process of heat transfer. The findings suggest hybrid nanofluids are beneficial heat transfer fluids for industrial uses. Therefore, this article aims to investigate the Darcy–Forchheimer flow of Zn-TiO 2/H 2O hybrid nanofluids through a vertically porous shrinking cylinder. Design/methodology/approach The thermal transportation phenomenon of radiated hybrid nanomaterials is studied subject to linear thermal radiation and chemical species with the consequence of non-uniform heat source/sink influence. The controlling flow and energy equations in the form of governing hybrid nanofluids are developed and then converted into ODEs by operating appropriate resemblance variables. Using the impacts of controlling parameters, the behaviors of flow constraints are interpreted graphically. Findings The current study’s outcomes reveal that the water-based hybrid nanomaterials show a promising upsurge in heat transfer rate. Similarly, as the mass transfer rate grows, the drag coefficient and energy transfer rate boost, while due to curvature relations, it tends to diminish for drag friction. In an upper branch solution, the flow field is improved by greater porosity parameter values, whereas in a lower branch solution, it deteriorates. Furthermore, the velocity profile depicts the opposite trend for upper and lower branches due to a boost in the mixed convection parameter. Originality/value In light of already conducted studies, the relation of internal heat source varying regarding thermal and space in the rheology of hybrid TiO 2 -Zn/H 2O nanofluid possesses intriguing utilization in energy production strategies due to the exhibition of extensive heat energy. The most typical examples of this phenomenon can be observed in nuclear and chemical-reactor power stations, solar power plants for heating and cooling systems, combustion analysis equipment and so on. The current study is devoted to predicting the effect of a varied heat source on the thermal energy characteristics of mixed convective hybrid TiO 2-Zn/H 2O nanofluid flow through the vertical cylinder.