Nonlinear solution to a non-Fourier heat conduction problem in a slab heated by laser source

• Autorzy: Noroozi M. J. , Saedodin S. , Ganji D. D.

Identyfikatory

DOI

10.1515/meceng-2016-0007

Warianty tytułu

PL

Nieliniowe rozwiązanie problemu niefourierowskiego przewodzenia ciepła w płycie nagrzewanej źródłem laserowym

• Języki publikacji: EN

Abstrakty

EN

The effect of laser, as a heat source, on a one-dimensional finite body was studied in this paper. The Cattaneo-Vernotte non-Fourier heat conduction model was used for thermal analysis. The thermal conductivity was assumed temperature-dependent which resulted in a non-linear equation. The obtained equations were solved using the approximate-analytical Adomian Decomposition Method (ADM). It was concluded that the non-linear analysis is important in non-Fourier heat conduction problems. Significant differences were observed between the Fourier and non-Fourier solutions which stresses the importance of non-Fourier solutions in the similar problems.

PL

W artykule badano działanie laserowego źródła ciepła na ciało jednowymiarowe o skończonych wymiarach. Do analizy rozkładu temperatury zastosowano niefourierowski model przewodnictwa ciepła Cattaneo-Vernotte. Założono, że przewodność cieplna jest zależna od temperatury, w wyniku czego otrzymano równania nieliniowe. Do rozwiązania równań zastosowano przybliżoną analityczną metodę dekompozycji Adomiana (ADM). Stwierdzono, że analiza nieliniowa ma istotne znaczenie w problemach przewodnictwa ciepła typu niefourierowskiego. Zaobserwowano istotne różnice między rozwiązaniami fourierowskimi i niefourierowskimi, co podkreśla celowość stosowania tych ostatnich w podobnych problemach.

Słowa kluczowe

EN

non-Fourier heat conduction problem; nonlinear analysis; C-V model; Adomian Decomposition Method ADM; laser heating

PL

problem niefourierowski przewodzenia ciepła; analiza nieliniowa; model C-V; metoda dekompozycji Adomiana ADM; nagrzewanie laserowe

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2016
• Tom: Vol. LXIII, nr 1
• Strony: 129--144
• Opis fizyczny: Bibliogr. 40 poz., rys.

Twórcy

autor

Noroozi M. J.

• Young Researchers and Elite Club, Malayer Branch, Islamic Azad University, Malayer, Iran

autor

Saedodin S.

• Faculty of Mechanical Engineering, Semnan University, Semnan, Iran

autor

Ganji D. D.

• Department of Mechanical Engineering, Babol University of Technology, Babol, Iran

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.