Influence of gravity on nonlinear transport in the planar Couette flow

Physics of Fluids

Volumn 11, Issue 4, 1999, Pages 893-904

  Tij, Mohamed ^a   Garzó, Vicente ^b   Santos, Andres ^b  

^a MOULAY ISMAIL UNIVERSITY   (Morocco)

^b UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001431302     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869960     Document Type: Article

References (21)

1. M. Mareschal, M. Malek Mansour, A. Puhl, and E. Kestemont, "Molecular dynamics vs hydrodynamics in a two-dimensional Rayleigh-Bénard system," Phys. Rev. Lett. 61, 2550 (1988); A. Puhl, M. Malek Mansour, and M. Mareschal, "Quantitative comparison of molecular dynamics with hydrodynamics in Rayleigh-Bénard convection," Phys. Rev. A 40, 1999 (1989); D. Risso and P. Cordero, "Two-dimensional gas of disks: Thermal conductivity," J. Stat. Phys. 82, 1453 (1996).
2. M. Mareschal, M. Malek Mansour, A. Puhl, and E. Kestemont, "Molecular dynamics vs hydrodynamics in a two-dimensional Rayleigh-Bénard system," Phys. Rev. Lett. 61, 2550 (1988); A. Puhl, M. Malek Mansour, and M. Mareschal, "Quantitative comparison of molecular dynamics with hydrodynamics in Rayleigh-Bénard convection," Phys. Rev. A 40, 1999 (1989); D. Risso and P. Cordero, "Two-dimensional gas of disks: Thermal conductivity," J. Stat. Phys. 82, 1453 (1996).
3. M. Mareschal, M. Malek Mansour, A. Puhl, and E. Kestemont, "Molecular dynamics vs hydrodynamics in a two-dimensional Rayleigh-Bénard system," Phys. Rev. Lett. 61, 2550 (1988); A. Puhl, M. Malek Mansour, and M. Mareschal, "Quantitative comparison of molecular dynamics with hydrodynamics in Rayleigh-Bénard convection," Phys. Rev. A 40, 1999 (1989); D. Risso and P. Cordero, "Two-dimensional gas of disks: Thermal conductivity," J. Stat. Phys. 82, 1453 (1996).
4. M. Tij, V. Garzó, and A. Santos, "Nonlinear heat transport in a dilute gas in the presence of gravitation," Phys. Rev. E 56, 6729 (1997).
5. E. S. Asmolov, N. K. Makashev, and V. I. Nosik, "Heat transfer between parallel plates in a gas of Maxwellian molecules," Sov. Phys. Dokl. 24, 892 (1979).
6. A. Santos and V. Garzó, "Exact nonlinear transport from the Boltzmann equation," in Rarefied Gas Dynamics 19, edited by J. Harvey and G. Lord (Oxford University Press, Oxford, 1995), Vol. 1, pp. 13-22.
7. M. Tij, V. Garzó, and A. Santos, "On the influence of gravity on the thermal conductivity," in Rarefied Gas Dynamics 21 (Cépaduès, Toulouse, 1999) (to be published).
8. C. Trozzi and G. Ciccotti, "Stationary nonequilibrium states by molecular dynamics. II. Newton's law," Phys. Rev. A 29, 916 (1984).
9. D. K. Bhattacharya and B. C. Eu, "Nonlinear transport processes and fluid dynamics: Effects of thermoviscous coupling and nonlinear transport coefficients on plane Couette flow of Lennard-Jones fluids," Phys. Rev. A 35, 821 (1987).
10. D. Risso and P. Cordero, "Dilute gas Couette flow: Theory and molecular dynamics simulation," Phys. Rev. E 56, 489 (1997).
11. M. Tij and A. Santos, "Combined heat and momentum transport in a dilute gas," Phys. Fluids 7, 2858 (1995).
12. J. J. Brey, A. Santos, and J. W. Dufty, "Heat and momentum transport far from equilibrium," Phys. Rev. A 36, 2842 (1987).
13. C. S. Kim, J. W. Dufty, A. Santos, and J. J. Brey, "Analysis of nonlinear transport in Couette flow," Phys. Rev. A 40, 7165 (1989).
14. V. Garzó and M. López de Haro, "Kinetic model for heat and momentum transport," Phys. Fluids 6, 3787 (1994).
15. V. Garzó and M. López de Haro, "Nonlinear transport for a dilute gas in steady Couette flow," Phys. Fluids 9, 776 (1997).
16. J. M. Montanero and V. Garzó, "Nonlinear Couette flow in a dilute gas: Comparison between theory and molecular dynamics simulation," Phys. Rev. E 58, 1836 (1998).
17. J. M. Montanero, V. Garzó, and A. Santos (unpublished).
18. P. L. Bhatnagar, E. P. Gross, and M. Krook, "A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems," Phys. Rev. 94, 511 (1954).
19. D. J. Tritton, Physical Fluid Dynamics (Oxford University Press, Oxford, 1988).
20. J. W. Dufty, "Kinetic Theory of Fluids Far From Equilibrium: Exact Results," in Lectures on Thermodynamics and Statistical Mechanics, edited by M. López de Haro and C. Varea (World Scientific, Singapore, 1990), pp. 166-181.
21. M. Malek Mansour, F. Baras, and A. L. Garcia, "On the validity of hydrodynamics in plane Poiseuille flows," Physica A 240, 255 (1997).