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

#### Iredia Erhunmwun [1] , Monday J. Omoregie [2]

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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.

Cooling fins, heat transfer, finite element method, analytical solution
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Primary Language en Engineering Research Article Orcid: 0000-0002-0497-8220Author: Iredia Erhunmwun (Primary Author)Institution: University of BeninCountry: Nigeria Orcid: 0000-0002-0497-8220Author: Monday J. OmoregieInstitution: University of BeninCountry: Nigeria Publication Date: June 18, 2019
 Bibtex @research article { mjen555661, journal = {MANAS Journal of Engineering}, issn = {1694-7398}, eissn = {1694-7398}, address = {Kyrgyz-Turkish Manas University}, year = {2019}, volume = {7}, pages = {7 - 12}, doi = {}, title = {Determination of the temperature distribution in a rectangular cooling fin using the finite element method}, key = {cite}, author = {Erhunmwun, Iredia and Omoregie, Monday J.} } APA Erhunmwun, I , Omoregie, M . (2019). Determination of the temperature distribution in a rectangular cooling fin using the finite element method. MANAS Journal of Engineering, 7 (1), 7-12. Retrieved from http://dergipark.org.tr/mjen/issue/45851/555661 MLA Erhunmwun, I , Omoregie, M . "Determination of the temperature distribution in a rectangular cooling fin using the finite element method". MANAS Journal of Engineering 7 (2019): 7-12 Chicago Erhunmwun, I , Omoregie, M . "Determination of the temperature distribution in a rectangular cooling fin using the finite element method". MANAS Journal of Engineering 7 (2019): 7-12 RIS TY - JOUR T1 - Determination of the temperature distribution in a rectangular cooling fin using the finite element method AU - Iredia Erhunmwun , Monday J. Omoregie Y1 - 2019 PY - 2019 N1 - DO - T2 - MANAS Journal of Engineering JF - Journal JO - JOR SP - 7 EP - 12 VL - 7 IS - 1 SN - 1694-7398-1694-7398 M3 - UR - Y2 - 2019 ER - EndNote %0 MANAS Journal of Engineering Determination of the temperature distribution in a rectangular cooling fin using the finite element method %A Iredia Erhunmwun , Monday J. Omoregie %T Determination of the temperature distribution in a rectangular cooling fin using the finite element method %D 2019 %J MANAS Journal of Engineering %P 1694-7398-1694-7398 %V 7 %N 1 %R %U ISNAD Erhunmwun, Iredia , Omoregie, Monday J. . "Determination of the temperature distribution in a rectangular cooling fin using the finite element method". MANAS Journal of Engineering 7 / 1 (June 2019): 7-12. AMA Erhunmwun I , Omoregie M . Determination of the temperature distribution in a rectangular cooling fin using the finite element method. MJEN. 2019; 7(1): 7-12. Vancouver Erhunmwun I , Omoregie M . Determination of the temperature distribution in a rectangular cooling fin using the finite element method. MANAS Journal of Engineering. 2019; 7(1): 12-7.