▎ 摘　　要

The main interest of the current research study is, on the one hand, to increase heat transfer of the base and mixture fluids by using hybrid nanoparticles. By considering two types of boundary conditions such as insulated and convective tips, to explore numerically and analytically the simultaneous impacts of the thermal radiative and free convective flow of hybrid nanofluid via a moving porous longitudinal fin. This investigation employs Darcy's model and the mixture base fluid H2O (50%)-C2H6O2 (50%). The governing equations have been solved by utilizing Runge-Kutta-Fehlberg 4th-5th order technique (RKFT45) with shooting-scheme and analytically via Duan-Rach Approach (DRA). It is found that the nondimensional temperature theta(eta) is a decreasing function of a wet porous number m(2) and convective parameter N-c for both insulated and convective tips, and as an increasing function of ambient temperature theta(a), Peclet number Pe and power index n. It is also found that the thermal profile theta(eta) presents a decrease for all considered shape factors in the cases of insulated and convective tips boundary conditions. Computational results and those obtainable in the previous works have been used to verify and strengthen the results gained by the analytical DRA technique.