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

• Autorzy: Ananthaswamy Vembu , Sivasankari Sathyamoorthy

Identyfikatory

DOI

10.17512/jamcm.2024.2.01

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Ananthaswamy-Sivasankari method (ASM); fin efficiency; internal heat generation; longitudinal convective fin; temperature-dependent thermal conductivity

PL

Metoda Ananthaswamy-Sivasankari (ASM); wydajność żeber; wewnętrzne wytwarzanie ciepła; podłużne żebro konwekcyjne; przewodność cieplna zależna od temperatury

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 2
• Strony: 5--18
• Opis fizyczny: Bibliogr. 32 poz., rys., tab.

Twórcy

autor

Ananthaswamy Vembu

• Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

autor

Sivasankari Sathyamoorthy

• Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

Bibliografia

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