Implicit scheme of the finite difference method for the second-order dual phase lag equation

• Autorzy: Majchrzak E. , Mochnacki B.

Identyfikatory

DOI

10.15632/jtam-pl.56.2.393

• Języki publikacji: EN

Abstrakty

EN

The second-order dual phase lag equation (DPLE) as a mathematical model of the microscale heat transfer is considered. It is known that the starting point determining the final form of this equation is the generalized Fourier law in which two positive constants (the relaxation and thermalization times) appear. Depending on the order of the generalized Fourier law expansion into the Taylor series, different forms of the DPLE can be obtained. As an example of the problem described by the second-order DPLE equation, thermal processes proceeding in the domain of a thin metal film subjected to a laser pulse are considered. The numerical algorithm is based on an implicit scheme of the finite difference method. At the stage of numerical modeling, the first, second and mixed order of the dual phase lag equation are considered. In the final part of the paper, examples of different solutions are presented and conclusions are formulated.

Słowa kluczowe

EN

microscale heat transfer; dual phase lag model; implicit scheme of finite difference method

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2018
• Tom: Vol. 56 nr 2
• Strony: 393--402
• Opis fizyczny: Bibliogr. 28 poz., rys., tab.

Twórcy

autor

Majchrzak E.

• Silesian University of Technology, Gliwice, Poland

autor

Mochnacki B.

• University of Occupational Safety Management, Katowice, Poland

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).