Burnett equation
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The Burnett equations were derived by the English mathematician D. Burnett.[1]
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Continuum mechanics |
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Series expansion[edit]
Extensions[edit]
The Onsager-Burnett Equations, commonly referred to as OBurnett, which form a superset of the Navier-Stokes equations and are second-order accurate for Knudsen number.[2]
Eq. (1)
Eq. (2) [3]
Derivation[edit]
Starting with the Boltzmann equation
See also[edit]
- Fluid dynamics
- Lars Onsager
- Non-dimensionalization and scaling of the Navier–Stokes equations
- Stokes equations
- Chapman–Enskog theory
- Navier-Stokes equations
References[edit]
- ^ Burnett, D. (1936). "The Distribution of Molecular Velocities and the Mean Motion in a Non-Uniform Gas". Proceedings of the London Mathematical Society, Volume S2-40, Issue 1, 1936, Pages 382–435. s2-40 (1): 382–435. doi:10.1112/plms/s2-40.1.382.
- ^ Jadhav, Ravi Sudam; Agrawal, Amit (December 23, 2021). "Shock Structures Using the OBurnett Equations in Combination with the Holian Conjecture". Fluids. 6 (12): 427. Bibcode:2021Fluid...6..427J. doi:10.3390/fluids6120427.
- ^ Agarwal, Ramesh K.; Yun, Keon-Young; Balakrishnan, Ramesh (October 1, 2001). "Beyond Navier–Stokes: Burnett equations for flows in the continuum–transition regime". Physics of Fluids. 13 (10): 3061–3085. Bibcode:2001PhFl...13.3061A. doi:10.1063/1.1397256 – via aip.scitation.org (Atypon).
Further reading[edit]
- García-Colín, L.S.; Velasco, R.M.; Uribe, F.J. (August 2008). "Beyond the Navier–Stokes equations: Burnett hydrodynamics". Physics Reports. 465 (4): 149–189. Bibcode:2008PhR...465..149G. doi:10.1016/j.physrep.2008.04.010.
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