ANALATICAL AND NUMERICAL STUDY OF HEAT TRANSFER IN FINS

Abstract

Abstract - In this paper, one-dimensional heat transfer problems that can be approached by different methods was presented. The analytical approach using the direct solutions of differential equations was used to verify the approximate solution. In this paper the analysis was focused on the insulated fin tip. A more practical approach is the use of a suitable numerical method. The finite volume method seems to provide a good approach in using these complex problems with a variety of boundary conditions and the usage of MATLAB programming. An iterative technique may frequently yield a more efficient solution to the nodal equations than a direct matrix inversion. With the help of finite volume method and MATLAB programming for insulated and uniform crosssectional area of the fin problems and with applying GAUSSSEIDEL iteration method which is used to solve and calculate the nodal temperature distribution at different positions along the fin rod, it was found that the approximate solution is very close to the analytical solution.