Parametric Study on the Irreversibility of Fully Wet Porous Exponential Fin: A Comparative Analysis of Geometric Variations and Diverse Tip Conditions

Examining fins under various operational conditions aids in understanding heat transfer, which directly influences their thermal performance. Also, by comprehending the imposed boundary conditions, such as insulated, convective or others, engineers can design fins that optimize thermal performance by effectively managing thermal gradients. In view of this, the current study focuses on a fully wet porous exponential fin under convective‐radiative conditions, with surface emissivity modeled as a linear function of temperature. Further, the effects of insulated and convective boundary conditions are examined for inverted, rectangular, and tapered exponential fins. Heat distribution is characterized by a nonlinear differential equation, which is then reformulated into a non‐dimensional version using appropriate dimensionless parameters. To solve the resulting model, the Runge–Kutta–Fehlberg method is employed. Visual representations show the effects of various factors on the energy field and average entropy generation. Under an insulated tip condition, an increase in the surface emissivity parameter leads to a rise in average entropy generation by , and for inverted, rectangular and tapered fin structures, respectively. Additionally, fins with an insulated tip exhibit higher levels of entropy and thermal dispersion compared to those with a convective tip condition.