Analytical Solution for Different Profiles of Fin with Temperature-Dependent Thermal Conductivity

A. Moradi, H. Ahmadikia
2010 Mathematical Problems in Engineering  
Three different profiles of the straight fin that has a temperature-dependent thermal conductivity are investigated by differential transformation method (DTM) and compared with numerical solution. Fin profiles are rectangular, convex, and exponential. For validation of the DTM, the heat equation is solved numerically by the fourth-order Runge-Kutta method. The temperature distribution, fin efficiency, and fin heat transfer rate are presented for three fin profiles and a range of values of heat
more » ... transfer parameters. DTM results indicate that series converge rapidly with high accuracy. The efficiency and base temperature of the exponential profile are higher than the rectangular and the convex profiles. The results indicate that the numerical data and analytical method are in agreement with each other.
doi:10.1155/2010/568263 fatcat:swd4mwedevcwrebimn26ppik6q