Studying the Thermal Analysis of Rectangular Cross Section Porous Fin: A Numerical Approach

Articles > Article ยท 2021

Authors: Waleed Adel, Ahmet YILDIRIM

Computational methods for differential equations, Journal Indexed in SCI Expanded, International, Scopus, 2021, vol 10, pp 338-350

DOI: 10.22034/cmde.2021.37458.1669

Summary

In this work, a direct computational method has been developed for solving the thermal analysis of porous fins with a rectangular cross-section with the aid of Chebyshev polynomials. The method transforms the nonlinear differential equation into a system of nonlinear algebraic equations and then solved using a novel technique. The solution of the system gives the unknown Chebyshev coefficients. An algorithm for solving this nonlinear system is presented. The results are obtained for different values of the variables and a comparison with other methods is made to demonstrate the effectiveness of the method.

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