Nonlinear Poiseuille flow in a gas

Physics of Fluids

Volumn 10, Issue 4, 1998, Pages 1021-1027

  Tij, Mohamed ^a   Sabbane, Mohamed ^a   Santos, Andrés ^b  

^a MOULAY ISMAIL UNIVERSITY   (Morocco)

^b UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001473679     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869621     Document Type: Article

References (19)

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2. D. J. Tritton, Physical Fluid Dynamics (Oxford University Press, Oxford, 1988); R. B. Bird, W. E. Stewart, and E. W. Lightfoot, Transport Phenomena (Wiley, New York, 1960); H. Lamb, Hydrodynamics (Dover, New York, 1945).
3. D. J. Tritton, Physical Fluid Dynamics (Oxford University Press, Oxford, 1988); R. B. Bird, W. E. Stewart, and E. W. Lightfoot, Transport Phenomena (Wiley, New York, 1960); H. Lamb, Hydrodynamics (Dover, New York, 1945).
4. L. P. Kadanoff, G. R. McNamara, and G. Zanetti, " A Poiseuille viscometer for lattice gas automata," Complex Syst. 1, 791 (1987); "From automata to fluid flow: Comparison of simulation and theory," Phys. Rev. A 40, 4527 (1989).
5. L. P. Kadanoff, G. R. McNamara, and G. Zanetti, " A Poiseuille viscometer for lattice gas automata," Complex Syst. 1, 791 (1987); "From automata to fluid flow: Comparison of simulation and theory," Phys. Rev. A 40, 4527 (1989).
6. M. Alaoui and A. Santos, " Poiseuille flow driven by an external force," Phys. Fluids A 4, 1273 (1992).
7. R. Esposito, J. L. Lebowitz, and R. Marra, " A hydrodynamic limit of the stationary Boltzmann equation in a slab," Commun. Math. Phys. 160, 49 (1994).
8. M. Tij and A. Santos, " Perturbation analysis of a stationary nonequilibrium flow generated by an external force," J. Stat. Phys. 76, 1399 (1994).
9. C. Cercignani, The Boltzmann Equation and Its Applications (Springer-Verlag, New York, 1988).
10. M. Malek Mansour, F. Baras, and A. L. Garcia, " On the validity of hydrodynamics in plane Poiseuille flows," Physica A 240, 255 (1997).
11. For a similar analysis but for the Fourier flow, see 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).
12. S. Chapman and T. G. Cowling, The Mathematical Theory of Nonuniform Gases (Cambridge University Press, Cambridge, 1970).
13. J. A. McLennan, Introduction to Nonequilibrium Statistical Mechanics (Prentice Hall Englewood Cliffs, 1989).
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15. Z. Alterman, K. Frankowski, and C. L. Pekeris, " Eigenvalues and eigenfunctions of the linearized Boltzmann, collision operator for a Maxwell gas and for a gas of rigid spheres," Astrophys. J. 7, 291 (1962).
16. M. Tij and A. Santos, " Combined heat and momentum transport in a dilute gas," Phys. Fluids 7, 2858 (1995).
17. M. Tij and M. Sabbane (unpublished).
18. Y. Sone, K. Aoki, S. Takata, H. Sugimoto, and A. V. Bobylev, " Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation," Phys. Fluids 8, 628 (1996); Y. Sone, S. Takata, and H. Sugimoto, "The behavior of a gas in the continuum limit in the light of kinetic theory: The case of cylindrical Couette flows with evaporation and condensation," Phys. Fluids 8, 3403 (1996).
19. Y. Sone, K. Aoki, S. Takata, H. Sugimoto, and A. V. Bobylev, " Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation," Phys. Fluids 8, 628 (1996); Y. Sone, S. Takata, and H. Sugimoto, "The behavior of a gas in the continuum limit in the light of kinetic theory: The case of cylindrical Couette flows with evaporation and condensation," Phys. Fluids 8, 3403 (1996).