Convection-radiation thermal analysis of triangular porous fins with temperature-dependent thermal conductivity by DTM

Highlights: • Thermal analysis of a triangular porous fin is analytically studied. • The nonlinear energy equation is solved by means of DTM. • Temperature profile for different values of involved parameters is obtained and discussed. • Fin effectiveness and fin efficiency are calculated and discussed. • The fin temperature decreases by increasing Z, R∗ and Ra∗, and reverse results were found for porosity. - Abstract: Increasing performance of porous fins is one of the common priorities nowadays. Hence attention here is given to the convection and radiation effects in the analysis of performance of a porous triangular fin with temperature-dependent thermal conductivity. Mathematical problem is solved by differential transformation method (DTM). The DTM results are compared with the numerical results obtained by fourth-order Runge–Kutta method in order to confirm the accuracy of the analytical solution. The dimensionless temperature distributions, fin efficiency and fin effectiveness are studied with respect to emerging parameters involved in the analysis. It is noted that there is an increase in fin performance in view of porous constraint