MODELLING OF TRANSIENT HEAT TRANSPORT IN CRYSTALLINE SOLIDS USING THE INTERVAL LATTICE BOLTZMANN METHOD (TWO-DIMENSIONAL MODEL)
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 two-dimensional numerical modelling of heat transfer in crystalline solids is considered. In the mathematical description the relaxation time and the boundary conditions 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.
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, 2006, 49, pp. 97-107.
Google Scholar
Eshraghi M., Felicelli S.D.: An implicite lattice Boltzmann model for heat conduction with chase chandr, International Journal of Heat and Masss Transfer, 2012, 55, pp. 2420-2428.
Google Scholar
Markov S.M.: On Directed Interval Arithmetic and its Applications, Journal of Universal Computer Science, 1995, Vol. 1, pp. 514-526.
Google Scholar
Narumanchi S., Murthy J.Y., Amon C.H.: Simulation of unsteady small heat source effects in sub-micron heat conduction, J. Heat Transfer, 2003, 123, pp. 896-903.
Google Scholar
Neumaier A.: Interval methods for system of equations, Cambridge University Press, Cambridge, New York, Port Chester, Melbourne, Sydney, 1990.
Google Scholar
Piasecka Belkhayat A.: Interval boundary element method for 2D transient diffusion problem using directed interval arithmetic, Engineering Analysis with Boundary Elements, 2011, Vol. 35, Issue 3, pp. 259-263.
Google Scholar
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), Częstochowa, pp. 155-160.
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
Statistics
Abstract views: 216PDF downloads: 56
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Most read articles by the same author(s)
- Alicja Piasecka-Belkhayat, Anna Korczak, 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: Vol. 4 No. 4 (2014)
