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Ananthaswamy, Vembu, Subanya, Ramaiya, Sivasankari, Sathyamoorthy. (1403). A mathematical study on the non-linear boundary value problem of a porous fin. سامانه مدیریت نشریات علمی, 12(3), 523-543. doi: 10.22034/cmde.2023.57934.2435
Vembu Ananthaswamy; Ramaiya Ramalingam Subanya; Sathyamoorthy Sivasankari. "A mathematical study on the non-linear boundary value problem of a porous fin". سامانه مدیریت نشریات علمی, 12, 3, 1403, 523-543. doi: 10.22034/cmde.2023.57934.2435
Ananthaswamy, Vembu, Subanya, Ramaiya, Sivasankari, Sathyamoorthy. (1403). 'A mathematical study on the non-linear boundary value problem of a porous fin', سامانه مدیریت نشریات علمی, 12(3), pp. 523-543. doi: 10.22034/cmde.2023.57934.2435
Ananthaswamy, Vembu, Subanya, Ramaiya, Sivasankari, Sathyamoorthy. A mathematical study on the non-linear boundary value problem of a porous fin. سامانه مدیریت نشریات علمی, 1403; 12(3): 523-543. doi: 10.22034/cmde.2023.57934.2435

A mathematical study on the non-linear boundary value problem of a porous fin

Computational Methods for Differential Equations
مقاله 8، دوره 12، شماره 3، مهر 2024، صفحه 523-543    اصل مقاله (1.37 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.57934.2435
نویسندگان
Vembu Ananthaswamy* ؛ Ramaiya Ramalingam Subanya؛ Sathyamoorthy Sivasankari
Research Centre and PG Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India.
چکیده
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.
کلیدواژه‌ها
Longitudinal fin؛ Darcy’s model؛ Insulated tip؛ Ananthaswamy-Sivasankari method (ASM)؛ Magneto hydrodynamics (MHD)
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