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1 Journal of Applied Mathematics and Computational Mechanics

1 2024

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A mathematical study on non-linear temperature-dependent thermal conductivity

Ananthaswamy Vembu, Sivasankari Sathyamoorthy

Journal of Applied Mathematics and Computational Mechanics

2024

Vol. 23, nr 2

5--18

The two main cases of convective fins with temperature-dependent thermal conductivity and heat generation are studied using the Ananthaswamy-Sivasankari method (ASM) approximately. The semi-analytical expressions for the temperature distribution in two cases are given in their clearest and most simple form. The obtained results are then compared with the numerical results, which show significant agreement. The dimensionless fin efficiency is also evaluated. The impacts of the numerous parameters involved in the problem are displayed graphically. With this approach, convergence can be attained more quickly. The application of this method to higher-order problems with boundary values in the applied sciences is possible.