Analysis of entropy generation in a fully wet porous moving longitudinal fin exposed to convection and radiation: homogeneous and functionally graded materials.
A wet porous moving longitudinal fin composed of linear functionally graded material (FGM) has been chosen for the analysis. The thermal behaviour of the fin and its entropy generation in the presence of convective-radiative heat transmission are the focus of the study. Further, three distinct cases of FGM, namely homogeneous, type I (higher thermal grading towards the fin base) and type II (higher thermal grading towards the fin tip) have been comparatively investigated. The derived energy equation is a 2nd-order nonlinear ordinary differential equation and is solved with the aid of the Runge Kutta Fehlberg method. The fin thermal profile, entropy generation profile, and average entropy generation have been graphically analysed for the thermal conductivity grading parameter, Peclet number, convective parameter, radiative parameter, wet porous parameter, and dimensionless ambient temperature. The entropy generation along fin length as well as the average entropy generated in a fin are discovered to be lowest in the case of homogeneous fin structures followed by type I and type II FGM fin structures. The present investigation benefits the manufacture and design of FGM fin structures.