Investigation of the optimal configuration of a highly conductive material embedded in a triangular fin

Abstract

Triangular fins have gained attention for heat extraction, and various methods are suggested to optimize their performance. In this work, designing a highly conductive material (“insert”) intruding a triangular fin is investigated to increase the heat transfer from the fin, and the optimum configuration of the insert is investigated. First, the optimum design for the insert is investigated, and the triangular insert demonstrates higher heat extraction compared to a quadrilateral insert. The triangular insert resulted in a 47.7% increase in heat transfer rate compared to the quadrilateral insert. With the fixed case of $\lambda$ = 50, $\phi$ = 0.1, $\alpha$ = 0.05, and Bi = 0.05, the geometrical configuration can increase the heat flux to 64%. For the next step, the optimum design of the insert is investigated. This condition is named ${\beta }_{\mathit{opt}}$ and ${\widehat{q}}_{\mathit{opt}},$ which represents the results of the best case in a given situation. It is shown that geometric optimization can enhance heat removal by up to 23.8% when other parameters are fixed. Finally, the influence of different geometric and physical parameters, such as the aspect ratio of the insert, the aspect ratio of the triangular fin, thermal conductivity, and Biot number on the optimization process are investigated.

Keywords:

• Geometric optimization
• heat transfer rate
• highly conductive materials
• triangular fin