Finite element solutions of Jeffery fluid considering Xue-and Yamada-Ota model on circular cylinder with a thermal jump

•Jeffery fluid along with Xue-and Yamada-Ota model is utilized.•Base fluid is considered as Kerosine oil.•Hybrid nanofluid is incorporated.•Quadratic thermal radiation and heat source are assumed.•Thermal performance is between Xue-and Yamada-Ota hybrid nanofluid models is studied.•Finite element method is utilized. The current investigation is based on FEM (finite element approach) simulations of Jeffery fluid in heat transfer analysis on a circular cylinder subjected to convective boundary conditions. The mathematical model of the X- and YO-model is formulated to investigate the impacts of thermal efficiency. Kerosine oil is assumed to be a base fluid along with nanofluid silicon dioxide and titanium dioxide. Heat transfer occurs through the effects of heat source and quadratic thermal radiation. The objective of the current model is to determine the comparative thermal performance between Xue- and Yamada-Ota models utilized in solar energy, biomedicines electronic processes, etc. It is demonstrated that such a developing model has not yet been studied using finite element methodology. Yamada-Ota hybrid nano-fluid model has maximum thermal production as compared to thermal production for Xue-hybrid nano-fluid. Skin friction coefficients increase when mixed convection and radiation numbers are enhanced.