Natural convection in a differentialy heated enclosure filled with low Prandtl number fluids with modified Lattice Boltzman method
Authors:
- S. Bawazeer,
- A.A. Mohamad,
- P. Ocłoń
Abstract
The convective motion in a three- and two- dimensional square cavity driven by a temperature gradient is analyzed. The cavity is filled with a low-Prandtl-number (Pr) fluid, typical for liquid metals. The vertical walls have constant but different temperatures, while the horizontal boundaries are adiabatic. Low Prandtl number exhibits strong non-linearity, where the advection term dominates the diffusion term in the momentum equations. Therefore, a Multi-Relaxation-Time, modified Lattice Boltzmann (MRT-LBM) approach is used to overcome the stability of the numerical solutions. Also, by using the mentioned method a wide range of Prandtl numbers, Pr, (0.01–0.5) and a wide range of Rayleigh numbers, Ra, (104 to 108) are investigated. It was found that the flow field exhibits periodic oscillations at the critical Rayleigh numbers, which are dependent on the Prandtl number. The periodic flow becomes aperiodic as the Prandtl number decreases and/or the Rayleigh number decreases. Also, the average Nusselt number are presented and correlated for the investigated range of the controlling parameters.
- Record ID
- CUT6be19c741c7f4a1881687055d6c0d004
- Publication categories
- ;
- Author
- Journal series
- International Journal of Heat and Mass Transfer, ISSN 0017-9310, e-ISSN 1879-2189
- Issue year
- 2019
- Vol
- 143
- Pages
- [1-15]
- Article number
- 118562
- Other elements of collation
- rys.; tab.; wykr.; Bibliografia (na s.) - 14-15; Bibliografia (liczba pozycji) - 25; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 143
- Keywords in English
- convection in liquid metals, Lattice Boltzmann, low-prandtl number, multi-relaxation time, natural convection
- DOI
- DOI:10.1016/j.ijheatmasstransfer.2019.118562 Opening in a new tab
- URL
- https://www.sciencedirect.com/science/article/pii/S0017931019305368?via%3Dihub Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 200
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT6be19c741c7f4a1881687055d6c0d004/
- URN
urn:pkr-prod:CUT6be19c741c7f4a1881687055d6c0d004
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.