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.
