Taylor wavelet solution procedure for the analysis of triangular porous fin made of functionally graded materials in the presence of hybrid nanofluid

Abstract

This study investigates the thermal performance of a triangular porous fin made of functionally graded materials (FGM) in presence of hybrid nanofluid under the influence of convection, radiation and internal heat generation, using the Taylor wavelet method (TWM). For the first time in the literature, the combined impacts of hybrid nanofluid and FGMs are explored to determine their impact on heat transfer enhancement. The governing dimensionless equations, containing the convective parameter, generation parameter, internal heat generation, radiation parameter, thermogeometric parameter, wet parameter and Peclet number, are solved using the TWM. The results obtained are used to unravel the impact of these parameters on the thermal profiles and heat transfer rate of linear, quadratic and exponential FGMs through graphical representation. An increase in the convective and radiative parameter enhances heat dissipation, whereas an increase in the generation parameter and internal heat generation leads to an elevation in fin temperature. Also, it can be inferred that exponential FGM achieves the highest heat transfer rate compared to other two cases. The TWM offers an accurate solution to nonlinear differential equations with a greater accuracy. The insights gained from the study are useful in advancement of thermal management in many applications.