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

Document Type : Research Paper


Research Centre and PG Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India.


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.


Main Subjects

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