APPLICATION OF THE INTERVAL LATTICE BOLTZMANN METHOD FOR A NUMERICAL MODELLING OF THIN METAL FILMS IRRADIATION BY ULTRA SHORT LASER PULSES
Alicja Piasecka-Belkhayat
alicja.piasecka@polsl.plSilesian University of Technology, Faculty of Mechanical Engineering, Institute of Computational Mechanics and Engineering (Poland)
Anna Korczak
Silesian University of Technology, Faculty of Mechanical Engineering, Institute of Computational Mechanics and Engineering (Poland)
Abstract
In the paper the one-dimensional numerical modelling of heat transfer in thin metal films irradiated by ultra short laser pulses is considered. In the mathematical description the relaxation times and the boundary conditions for phonons and electrons are given as interval numbers. The problem formulated has been solved by means of the interval lattice Boltzmann method using the rules of directed interval arithmetic. The examples of numerical computations are presented in the final part of the paper.
Keywords:
Boltzmann transport equation, interval lattice Boltzmann method, directed interval arithmeticReferences
Escobar R. A., Ghai S. S., Jhon M. S., Amon C. H.: Multi-length and time scale thermal transport using the lattice Boltzmann method with application to electronics cooling, Journal of Heat and Mass Transfer, 49, 2006, 97-107.
Google Scholar
Eshraghi M., Felicelli S.D.: An implicit lattice Boltzmann model for heat conduction with chase chandler, International Journal of Heat and Mass Transfer, 55, 2012, 2420-2428.
Google Scholar
Ghai S. S., Kim W. T., Escobar R. A., et al.: A novel heat transfer model and its application to information storage systems, Journal Applied Physics 97, 2005.
Google Scholar
Joshi A. A., Majumdar A.: Transient ballistic and diffusive phonon heat transport in thin films, Journal of Applied Physics 74(1), 1993, 31-39.
Google Scholar
Kaviany M., McGaughey A. J. H.: Integration of molecular dynamics simulations and Boltzmann transport equation in phonon thermal conductivity analysis, IMECE 2003-41899, 2003.
Google Scholar
Lee J. B., Kang K., Lee S. H.: Comparison of Theoretical Models of Electron-Phonon Coupling in Thin Gold Films Irradiated by Femtosecond Pulse Lasers, Materials Transactions, Vol. 52, No. 3, 2011, 547-553.
Google Scholar
Piasecka Belkhayat A., Korczak A.: Modelling of transient heat transport in one-dimensional crystalline solids using the interval lattice Boltzmann method, Recent Advances in Computational Mechanics (Eds. T.Łodygowski, J.Rakowski and P.Litewka), Taylor & Francis Group, A Balkema Book, London, 2014.
Google Scholar
Piasecka Belkhayat A., Korczak A.: Numerical modelling of the transient heat transport in 2d silicon thin film using the interval lattice Boltzmann method, Journal of Applied Mathematics and Computational Mechanics, 13 (2), 2014, 95-103.
Google Scholar
Venkatakrishnan K., Tan B., Ngoi B. K. A.: Femtosecond pulsed laser ablation of thin gold film, Optics & Laser Technology, 34, 2002, 199-202.
Google Scholar
Yilbas B. S., Al-Dweik A. Y., Bin Mansour S.: Analytical solution of hyperbolic heat conduction equation in relation to laser short-pulse heating, Physica B, 406, 2011, 1550-1556.
Google Scholar
Yilbas B. S.: A closed form solution for temperature rise inside solid substrate due to time exponentially varying pulse, International Journal of Heat and Mass Transfer, 45, 2002, 1993-2000.
Google Scholar
Zhang X, Chu. S. S., Ho J. R.: Grigoropoulos C.P., Excimer laser ablation of thin gold films on a quartz crystal microbalance at various argon background pressures, Applied Physics A, 64, 1997, 545–552.
Google Scholar
Authors
Alicja Piasecka-Belkhayatalicja.piasecka@polsl.pl
Silesian University of Technology, Faculty of Mechanical Engineering, Institute of Computational Mechanics and Engineering Poland
Authors
Anna KorczakSilesian University of Technology, Faculty of Mechanical Engineering, Institute of Computational Mechanics and Engineering Poland
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