Thermal Performance Evaluation of Moving Inclined Pin‐Fins in Fully Wet Conditions: A Comparative Analysis of Cylindrical and Conical Geometries

ABSTRACT This research examines the thermal efficiency of inclined moving conical and cylindrical pin‐fin structures functioning in completely wet conditions, emphasizing the interaction between convective and radiative heat transfer processes. Traditional analytical approaches often face convergence challenges when dealing with the nonlinear governing equations of porous fin systems. To overcome this limitation, we employ two computational techniques‐the Fibonacci wavelet method (FWM) and the differential transform method (DTM) to find accurate solutions. The effects of key parameters, including the wet porous parameter, radiation parameter, convective heat transfer coefficient, Peclet number, and inclination angle, on the temperature distribution are systematically examined. The results reveal that increasing the inclination angle from π/6 to π/2 reduces the base temperature ( X = 0) by 6.55% for cylindrical fins ( n = 0) and by 7.89% for conical fins ( n = 1). Conversely, increasing the Peclet number from 0.5 to 2 leads to temperature increases of 17.00% and 10.75% for cylindrical and conical fins, respectively, indicating a strong geometry‐dependent thermal response. Overall, conical fins demonstrate superior heat dissipation performance compared with cylindrical fins, making them more suitable for high‐performance cooling applications. The findings provide valuable insights for thermal management in microelectronic systems and confirm the effectiveness of FWM and DTM for solving complex nonlinear heat transfer problems in porous fin configurations.