A Handy Analytical Approximate Solution for a Heat Transfer Problem Using the Method of Subdomains with Boundary Conditions
Journal Title: International Journal of Multidisciplinary Research and Analysis - Year 2024, Vol 7, Issue 05
Abstract
The aim of this paper is to show the application of the method of weighted residuals through subdomains to offer a solution to the steady-state one-dimensional heat conduction problem in a slab with thermal conductivity linearly dependent on temperature. The proposed solution is a fourth-degree polynomial, derived using three subdomains. Despite its simplicity, the solution demonstrates good accuracy, as evidenced by an RMS error of 𝟎.𝟎𝟎𝟎𝟗𝟔𝟖𝟗𝟒𝟔𝟎𝟔𝟕𝟑𝟗𝟑𝟎. However, if greater accuracy is required, the Method of Weighted Residuals allows for the use of more subdomains with a higher-degree polynomial.
Authors and Affiliations
M. Sandoval-Hernandez, N. Carrillo-Ramon, S. E. Torreblanca-Bouchan, A. de J. Mota-Hernandez, G. J. Morales-Alarcon, A. R. Escobar-Flores, J. Farias-Uscanga , J. E Perez-Jacome-Friscione, U. A. Filobello-Nino, H. Vazquez-Leal, S. Y. Campos-Dominguez, S. Ocaña-Pimentel
Keywords
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- EP ID EP735921
- DOI http://www.ijmra.in/v7i5/63.php
- Views 83
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