Two-phase analysis on radiative solar pump applications using MHD Eyring–Powell hybrid nanofluid flow with the non-Fourier heat flux model

This analysis aims to determine the two-phase analysis of thermal transmission on MHD Eyring–Powell dusty hybrid nanofluid flow over a stretching cylinder with non-Fourier heat flux model and the influence of a uniform heat source and thermal radiation. The hybrid nanofluid was formulated by the mixture of Silicone oil-based Iron Oxide \((\text{Fe}_{3}\text{O}_{4})\) and Silver (Ag) nanoparticles flow properties after the mechanism has been filled with dusty particles. The increasing demand for sustainable sources of heat and electricity has inspired significant interest towards the conversion of solar radiation into thermal energy. Due to their enhanced ability to promote heat transmission, nanofluids can significantly contribute to enhancing the efficiency of solar-thermal systems. The non-linear equations for the velocity, energy, skin friction coefficient, and Nusselt number are solved using Bvp4c with MATLAB solver. Tables and graphs are used to show how essential parameters affect fluid transport properties. The temperature profile is decreased with greater Eyring–Powell fluid parameter values. The curvature parameter is intensified for the higher values of the velocity profile. The temperature is influenced by increasing values in the thermal radiation, while it is reduced by rising values in the thermal relaxation parameter. Increasing the value of the curvature parameter leads to a reduction in the skin friction factor. It is revealed that improving the values of the fluid–particle interaction for temperature and curvature parameter decrements for the Nusselt number.