Solving fully Ttree-dimensional microscale dual phase lag problem using mixed-collocation, finite difference discretization / Alaeddin Malek in Journal of heat transfer, Vol 134 N° 9 (Septembre 2012)  

Public ISBD [article]  inJournal of heat transfer > Vol 134 N° 9 (Septembre 2012) . - 06 p. Titre : Solving fully Ttree-dimensional microscale dual phase lag problem using mixed-collocation, finite difference discretization Type de document : texte imprimé Auteurs : Alaeddin Malek, Auteur ; Zahra Kalateh Bojdi, Auteur ; Parisa Nuri Niled Golbarg, Auteur Année de publication : 2012 Article en page(s) : 06 p. Note générale : heat transfer Langues : Anglais (eng) Mots-clés : collocation spectral methods  finite difference heat conduction equation  thin-films  nanoscale Index. décimale : 536 Chaleur. Thermodynamique Résumé : In the present work, we investigate laser heating of nanoscale thin-films irradiated in three dimensions using the dual phase lag (DPL) model. A numerical solution based on mixed-collocation, finite difference method has been employed to solve the DPL heat conduction equation. Direct substitution in the model transforms the differential equation into a linear system of equations in which related system is solved directly without preconditioning. Consistency, stability, and convergence of the proposed method based on a mixed-collocation, finite difference approximation are proved, and numerical results are presented. The general form of matrices and their corresponding eigenvalues are presented. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.org/getabs/servlet/GetabsServlet?prog=normal&id=JHTRAO000134000009 [...] [article] Solving fully Ttree-dimensional microscale dual phase lag problem using mixed-collocation, finite difference discretization [texte imprimé] / Alaeddin Malek, Auteur ; Zahra Kalateh Bojdi, Auteur ; Parisa Nuri Niled Golbarg, Auteur . - 2012 . - 06 p. heat transfer Langues : Anglais (eng) in Journal of heat transfer > Vol 134 N° 9 (Septembre 2012) . - 06 p. Mots-clés : collocation spectral methods  finite difference heat conduction equation  thin-films  nanoscale Index. décimale : 536 Chaleur. Thermodynamique Résumé : In the present work, we investigate laser heating of nanoscale thin-films irradiated in three dimensions using the dual phase lag (DPL) model. A numerical solution based on mixed-collocation, finite difference method has been employed to solve the DPL heat conduction equation. Direct substitution in the model transforms the differential equation into a linear system of equations in which related system is solved directly without preconditioning. Consistency, stability, and convergence of the proposed method based on a mixed-collocation, finite difference approximation are proved, and numerical results are presented. The general form of matrices and their corresponding eigenvalues are presented. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.org/getabs/servlet/GetabsServlet?prog=normal&id=JHTRAO000134000009 [...]

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