An analytical study of two different models of rectangular porous fins are investigated using a new approximate analytical method, the Ananthaswamy-Sivasankari method. The obtained results are compared with the numerical solution, which results in a very good agreement. The impacts of several physical parameters involved in the problem are interlined graphically. Fin efficiency and the heat transfer rate are also calculated and displayed. The result obtained by this method is in the most explicit and simple form. The convergence of the solution determined is more accurate as compared to various analytical and numerical methods.
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Ananthaswamy, V., Subanya, R., & Sivasankari, S. (2024). A mathematical study on the non-linear boundary value problem of a porous fin. Computational Methods for Differential Equations, 12(3), 523-543. doi: 10.22034/cmde.2023.57934.2435
MLA
Vembu Ananthaswamy; Ramaiya Ramalingam Subanya; Sathyamoorthy Sivasankari. "A mathematical study on the non-linear boundary value problem of a porous fin". Computational Methods for Differential Equations, 12, 3, 2024, 523-543. doi: 10.22034/cmde.2023.57934.2435
HARVARD
Ananthaswamy, V., Subanya, R., Sivasankari, S. (2024). 'A mathematical study on the non-linear boundary value problem of a porous fin', Computational Methods for Differential Equations, 12(3), pp. 523-543. doi: 10.22034/cmde.2023.57934.2435
VANCOUVER
Ananthaswamy, V., Subanya, R., Sivasankari, S. A mathematical study on the non-linear boundary value problem of a porous fin. Computational Methods for Differential Equations, 2024; 12(3): 523-543. doi: 10.22034/cmde.2023.57934.2435
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