Numerical modelling of the transient heat transport in 2D silicon thin film using the interval lattice Boltzmann method

• Autorzy: Piasecka-Belkhayat A. , Korczak A.
• Języki publikacji: EN

Abstrakty

EN

In the paper the description of numerical analysis of the heat transfer process proceeding in a two-dimensional silicon thin film is presented. It is assumed that some parameters like relaxation time and boundary temperatures appearing in the mathematical model of the analyzed problem are given as intervals. The discussed problem has been solved using the interval form of the lattice Boltzmann method applying the rules of the directed interval arithmetics. In the final part of the paper, the results of numerical computations are shown.

Słowa kluczowe

EN

heat transport; interval lattice Boltzmann method

PL

transport ciepła

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 2
• Strony: 95--103
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Piasecka-Belkhayat A.

• Institute of Computational Mechanics and Engineering Silesian University of Technology, Poland

autor

Korczak A.

• Institute of Computational Mechanics and Engineering Silesian University of Technology, Poland

Bibliografia

• [1] 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 2006, 49, 97-107.
• [2] Joshi A.A., Majumdar A., Transient ballistic and diffusive phonon heat transport in thin films, Journal of Applied Physics 1993, 74(1), 31-39.
• [3] Eshraghi M., Felicelli S.D., An implicit lattice Boltzmann model for heat conduction with phase change, International Journal of Heat and Mass Transfer 2012, 55, 2420-2428.
• [4] Markov S.M., On directed interval arithmetic and its applications, Journal of Universal Computer Science 1995, 1, 514-526.
• [5] Neumaier A., Interval Methods for System of Equations, Cambridge University Press, Cambridge, New York, Port Chester, Melbourne, Sydney 1990.
• [6] Piasecka Belkhayat A., The interval lattice Boltzmann method for transient heat transport, Scientific Research of the Institute of Mathematics and Computer Science 2009, 1(8), 155 160.
• [7] Piasecka Belkhayat A., Korczak A., Modelling of transient heat transport in one-dimensional crystalline solids using the interval lattice Boltzmann method, [in:] Recent Advances in Computational Mechanics, eds. T. Łodygowski, J. Rakowski, P. Litewka, Taylor & Francis Group, A Balkema Book, London 2014, 363-368.
• [8] Narumanchi S., Murthy J.Y., Amon C.H., Simulation of unsteady small heat source effects in submicron heat conduction, Journal of Heat Transfer 2003, 123, 896-903.