Unique Analysis for Cascaded Rectangular-Triangular Fins with Convection-Radiation Transport

摘要

A double-differential transform method has been used to analyze a cascaded rectangular-triangular fin losing heat by simultaneous convection and radiation to its surroundings. The base of the fin is heated by convection by a hot fluid at a uniform temperature. The thermal conductivity of the fin material assumed to be a linear function of temperature. An exact analytical solution is developed for a pure convection cascaded rectangular-triangular fin of constant thermal conductivity. Results are presented for the temperature distribution for a range of dimensionless parameters governing the problem. Both single- and two-material cascaded rectangular-triangular fins are analyzed. An optimization study has been performed to establish data for optimum heat transfer rate, cold fluid Biot number, fin efficiency, and fin effectiveness. If properly designed, a cascaded rectangular-triangular fin can be more effective than a rectangular or a triangular fin.