The interval lattice Boltzmann method for transient heat transport

• Autorzy: Piasecka Belkhayat A.
• Języki publikacji: EN

Abstrakty

EN

In this paper an application of the interval lattice Boltzmann method for solving one-dimensional problems is presented. The Boltzmann transport equation transformed in the phonon energy density equation is considered. Such approach in which the parameters appearing in the problem analyzed are treated as the constant values is widely used. Here, the model with interval value of relaxation time is analyzed. In the final part of the paper, results of numerical computations are shown.

Słowa kluczowe

EN

heat transport; interval lattice Boltzmann method; Boltzmann transport equation; phonons

PL

transport ciepła

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2009
• Tom: Vol. 8, nr 1
• Strony: 155--160
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Piasecka Belkhayat A.

• Department of Strength of Materials and Computational Mechanics 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 ising the lattice Boltzmann method with application to electronics cooling, J. Heat Transfer 2006, 49, 97-107.
• [2] Joshi A.A., Majumdar A., Transient ballistic and diffusive phonon heat transport in thin films, J. Appl. Phys. 1993, 74(1), 31-39.
• [3] Kaviany M., McGaughey A.J.H., Integration of molecular dynamics simulations and Boltzmann transport equation in phonon thermal conductivity analysis, IMECE2003-41899, 2003.
• [4] 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, 896-903.
• [5] Neumaier A., Interval methods for system of equations, Cambridge University Press, Cambridge, New York, Port Chester, Melbourne, Sydney 1990.
• [6] Piasecka Belkhayat A., Interval boundary element method for 2D transient diffusion problem, Engineering Analysis with Boundary Elements 2008, 32, 5, 424-430.