Numerical solution for a porous fin thermal performance problem by application of Sinc collocation method

• Published in: Mathematical methods in the applied sciences 2023-07, Vol.46 (10), p.11373-11391
• Main Authors: Nabati, Mohammad, Salehi, Gholamreza, Taherifar, Somaye
• Format: Article
• Language: English
• Subjects: Boundary conditions; BVPs; Collocation methods; Fins; Heat transfer; Nonlinear systems; Parameters; Physical properties; Porosity; porous fin; Problem solving; Sinc collocation method; Temperature distribution; Thermal conductivity; thermal performance
• ISSN: 0170-4214; 1099-1476
• DOI: 10.1002/mma.7740

Heat transfer can be enhanced in various equipment by utilizing fins that have pores in their media. Efforts have been made to solve the porous fins problem by numerical, semianalytical, and analytical methods. In this paper, after the extraction of equations and the expression of boundary conditions, the Sinc collocation method is employed for problem solving the first time. By using the properties of the Sinc collocation method, the nonlinear problem is discritized into a nonlinear system of equations. The results support the accuracy and speed of the solution. The effects of effective physical parameters such as fins porosity, thermal conductivity of fin, Raley's number, and Darcy parameter have been considered in solving the problem. Also, the variations in temperature distribution, efficiency, and performance of fins are investigated. Therefore, changes in the parameters of the solving method indicate the convergence of the problem in the domain of many issues. In general, the results show that the proposed method can be considered as a powerful method for solving different types of fines.