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Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation
Open accessAbstract
We describe in detail a recently proposed lattice-Boltzmann model [X. Shan and H. Chen, Phys. Rev. E 47, 1815 (1993)] for simulating flows with multiple phases and components. In particular, the focus is on the modeling of one-component fluid systems which obey nonideal gas equations of state and can undergo a liquid-gas-type phase transition. The model is shown to be momentum conserving. From the microscopic mechanical stability condition, the densities in bulk liquid and gas phases are obtained as functions of a temperaturelike parameter. Comparisons with the thermodynamic theory of phase transitions show that the lattice-Boltzmann-equation model can be made to correspond exactly to an isothermal process. The density profile in the liquid-gas interface is also obtained as a function of the temperaturelike parameter and is shown to be isotropic. The surface tension, which can be changed independently, is calculated. The analytical conclusions are verified by numerical simulations.
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Citations
Cites
Lattice-gas automata for the Navier-Stokes equation
Frisch, U., Hasslacher, B., & Pomeau, Y. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.1505 · Cited by 2,788
Cited by
Lattice-Boltzmann method for complex flows
Aidun, C. K., & Clausen, J. R. (2010) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-121108-145519 · Cited by 1,991
Water transport in polymer electrolyte membrane fuel cells
Jiao, K., & Li, X. (2011) · Progress in Energy and Combustion Science · doi:10.1016/j.pecs.2010.06.002 · Cited by 1,086
Andersson, M., Beale, S. B., Espinoza, M., Wu, Z., & Lehnert, W. (2016) · Applied Energy · doi:10.1016/j.apenergy.2016.08.010 · Cited by 204
Metadata
- Authors
- Shan, X., & Chen, H.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1994-04-01
- Volume
- 49
- Issue
- 4
- Pages
- 2941-2948
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2093919312
- Cited by
- 1,493
- References
- 1
- FWCI
- 5.59
- Type
- journal article
- Language
- en
- Open access
- green
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- Shan, X., & Chen, H. (1994). Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation. Physical Review E. https://doi.org/10.1103/physreve.49.2941
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