Determination of the temperature distribution in a rectangular cooling fin using the finite element method

Year 2019, Volume: 7 Issue: 1, 7 - 12, 18.06.2019

İredia Erhunmwun Monday J. Omoregie

Abstract

This paper involves the use of the Galerkin finite element
method to determine the temperature distribution in a rectangular cooling fin.
The governing equation is a one-dimensional second order differential equation.
The result shows that the temperature at the tip of the rectangular cooling fin
which was 100⁰C and begins to drop as it proceeds to the
other end of the rectangular cooling fin which is 61.5518⁰C at 0.1m. The result obtained from the finite element
solutions when compared with the analytical solution, shows that the accuracy
was very high with the highest percentage error of 0.000432875. It can be
stated that the finite element solution is an accurate method for determining
the temperature distribution in a rectangular cooling fin.

Keywords

Cooling fins, heat transfer, finite element method, analytical solution

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