Approximate analytical solution to the Cattaneo heat conduction model with various laser sources

• Autorzy: Nuruddeen Rahmatullah Ibrahim

Identyfikatory

DOI

10.17512/jamcm.2022.1.06

• Języki publikacji: EN

Abstrakty

EN

The present manuscript investigates the role being played by various laser short heating sources in a conduction process of a metallic substrate. The Cattaneo heat conduction model is considered in favour of its finiteness of conduction speed. The analytical solutions for the temperature fields are determined via the application of the Laplace integral transform. Finally, we sought a numerical Laplace inversion scheme where the analytical inversion failed and graphically examined the significance of the heating parameters on the temperature fields.

Słowa kluczowe

EN

Cattaneo model; heat conduction; laser heating; Laplace transform; numerical inversion

PL

model Cattaneo; przewodzenie ciepła; nagrzewanie laserowe; transformata Laplace'a; inwersja numeryczna

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2022
• Tom: Vol. 21, nr 1
• Strony: 67--78
• Opis fizyczny: Bibliogr. 27 poz., rys.

Twórcy

autor

Nuruddeen Rahmatullah Ibrahim

• Department of Mathematics, Federal University Dutse, 7156 Dutse, Jigawa State, Nigeria

Bibliografia

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