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On the moment system and a flexible Prandtl number

On the moment system and a flexible Prandtl number
On the moment system and a flexible Prandtl number
The Maxwell–Boltzmann moment system can be seen as a particular case of a mathematically more general moment system proposed by Machado (Ref. [1]). These last moments, of which a suggested continuous distribution and an integral generating form are presented here for some orders, are used in this paper to theoretically show (one of) their usefulness: A flexible Prandtl number can be obtained in both the Boltzmann equation and in the lattice Boltzmann equation with a conventional single relaxation time Bhatnagar–Gross–Krook (BGK) collision model.




boltzmann equation, lattice boltzmann, heat transport phenomena
0217-9849
1-10
Machado, Raúl
4e9dcec0-82ff-4735-b97c-dfbd4435ded2
Machado, Raúl
4e9dcec0-82ff-4735-b97c-dfbd4435ded2

Machado, Raúl (2014) On the moment system and a flexible Prandtl number. Modern Physics Letters B, 28 (6), 1-10. (doi:10.1142/S0217984914500481).

Record type: Article

Abstract

The Maxwell–Boltzmann moment system can be seen as a particular case of a mathematically more general moment system proposed by Machado (Ref. [1]). These last moments, of which a suggested continuous distribution and an integral generating form are presented here for some orders, are used in this paper to theoretically show (one of) their usefulness: A flexible Prandtl number can be obtained in both the Boltzmann equation and in the lattice Boltzmann equation with a conventional single relaxation time Bhatnagar–Gross–Krook (BGK) collision model.




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More information

Published date: 2014
Keywords: boltzmann equation, lattice boltzmann, heat transport phenomena
Organisations: Engineering Science Unit

Identifiers

Local EPrints ID: 364808
URI: http://eprints.soton.ac.uk/id/eprint/364808
ISSN: 0217-9849
PURE UUID: 1beca22a-3242-4891-80e1-3ec739f83877

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Date deposited: 13 May 2014 10:41
Last modified: 14 Mar 2024 16:41

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