Study of thermal variation in a longitudinal exponential porous fin wetted with TiO₂-SiO₂/hexanol hybrid nanofluid using hybrid residual power series method

This study aims to inspect the steady state thermal distribution and heat transfer within a longitudinal porous fin of exponential profile wetted with hybrid nanoliquid. The aggregate influence of conduction, radiation, and convection causes heat transfer in the fin. The Darcy model and the Fourier law of heat conduction are used for modeling the governing ordinary differential equation (ODE) that represents the corresponding fin problem. Through the use of non-dimensional terms, the formulated equation is further simplified into a dimensionless equation along with suitable boundary condition. The arising nonlinear dimensionless equation is solved analytically using the improved residual power series method with the Pade approximant (Hybrid residual power series method/HRPSM). The consequences of various dynamic thermal parameters on thermal behavior are explored using graphical portrayal. As per the observations of this investigation, the surface wet condition by hybrid nonliquid and porous nature of the exponential fin will have a significant effect on the temperature distribution. More specifically, as the values of these corresponding parameters increase, the rate of heat transfer intensifies. Finally, the obtained HRPSM results are compared with previous investigations, and a high level of consistency is observed.