APPLICATION OF THE INTERVAL LATTICE BOLTZMANN METHOD FOR A NUMERICAL MODELLING OF THIN METAL FILMS IRRADIATION BY ULTRA SHORT LASER PULSES


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 arithmetic

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.

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.

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.

Joshi A. A., Majumdar A.: Transient ballistic and diffusive phonon heat transport in thin films, Journal of Applied Physics 74(1), 1993, 31-39.

Kaviany M., McGaughey A. J. H.: Integration of molecular dynamics simulations and Boltzmann transport equation in phonon thermal conductivity analysis, IMECE 2003-41899, 2003.

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.

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.

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.

Venkatakrishnan K., Tan B., Ngoi B. K. A.: Femtosecond pulsed laser ablation of thin gold film, Optics & Laser Technology, 34, 2002, 199-202.

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.

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.

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.

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Published : 2014-12-09


Piasecka-Belkhayat, A., & Korczak, A. (2014). APPLICATION OF THE INTERVAL LATTICE BOLTZMANN METHOD FOR A NUMERICAL MODELLING OF THIN METAL FILMS IRRADIATION BY ULTRA SHORT LASER PULSES. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 4(4), 85-88. https://doi.org/10.5604/20830157.1130203

Alicja Piasecka-Belkhayat  alicja.piasecka@polsl.pl
Silesian 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