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Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions
Open accessAbstract
We present a mathematical formulation of kinetic boundary conditions for lattice Boltzmann schemes in terms of reflection, slip, and accommodation coefficients. It is analytically and numerically shown that, in the presence of a nonzero slip coefficient, the lattice Boltzmann develops a physical slip flow component at the wall. Moreover, it is shown that the slip coefficient can be tuned in such a way to recover quantitative agreement with the analytical and experimental results up to second order in the Knudsen number.
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Citations
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
Review of Fluid Slip over Superhydrophobic Surfaces and Its Dependence on the Contact Angle
Voronov, R. S., Papavassiliou, D. V., & Lee, L. L. (2008) · Industrial & Engineering Chemistry Research · doi:10.1021/ie0712941 · Cited by 294
OpenLB—Open source lattice Boltzmann code
Krause, M. J., Kummerländer, A., Avis, S. J., Kusumaatmaja, H., Dapelo, D., Klemens, F., Gaedtke, M., Hafen, N., Mink, A., Trunk, R., et al. (2021) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2020.04.033 · Cited by 203
Metadata
- Authors
- Sbragaglia, M., & Succi, S.
- Venue
- Physics of Fluids
- Publisher
- AIP Publishing
- Published
- 2005-09-01
- Volume
- 17
- Issue
- 9
- ISSN
- 1070-6631 (ISSN-L)
- 1089-7666
- OpenAlex
- W2129713822
- Cited by
- 182
- References
- 0
- FWCI
- 14.80
- Type
- journal article
- Language
- en
- Open access
- green
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- Sbragaglia, M., & Succi, S. (2005). Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions. Physics of Fluids. https://doi.org/10.1063/1.2044829
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