Ghost effect and bifurcation in a gas between coaxial circular cylinders with different temperatures

Physics of Fluids

Volumn 15, Issue 10, 2003, Pages 2903-2915

  Sone, Yoshio ^a   Handa, Masato ^b   Doi, Toshiyuki ^c  

^a Kyoto University ^*  (Japan)

^b KYOTO UNIVERSITY   (Japan)

^c TOTTORI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF MOTION; TEMPERATURE; THERMAL STRESS; VELOCITY; VISCOSITY;

KNUDSEN NUMBER;

FLOW OF FLUIDS;

BIFURCATION; CIRCULAR CYLINDER; FLOW VELOCITY; FLUID DYNAMICS; GAS FLOW; MATHEMATICAL ANALYSIS; ROTATION; TEMPERATURE;

EID: 0242349748     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1601614     Document Type: Article

References (13)

1. G. I. Taylor, "Stability of a viscous liquid contained between two rotating cylinders," Philos. Trans. R. Soc. London, Ser. A 223, 289 (1923).
2. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford University Press, London, 1961).
3. E. L. Koschmieder, Bénard Cells and Taylor Vortices (Cambridge University Press, Cambridge, 1993).
4. P. Chossat and G. Iooss, The Couette-Taylor Problem (Springer-Verlag, New York, 1994).
5. S. Stefanov and C. Cercignani, "Monte Carlo simulation of the Taylor-Couette flow of a rarefied gas," J. Fluid Mech. 256, 199 (1993).
6. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Oxford University Press, Oxford, 1994).
7. K. Aoki, Y. Sone, and M. Yoshimoto, "Numerical analysis of the Taylor-Couette problem for a rarefied gas by the direct simulation Monte Carlo method," in Rarefied Gas Dynamics, edited by R. Brun, R. Campargue, R. Gatignol, and J.-C. Lengrand (CÉPADUÈS, Toulouse, 1999), Vol. 2, pp. 109-116.
8. Y. Sone and T. Doi, "Bifurcation of a flow of a gas between rotating coaxial circular cylinders with evaporation and condensation," in Rarefied Gas Dynamics, edited by A. Ketsdever and E. P. Muntz (American Institute of Physics, Melville, NY, 2003), pp. 646-653.
9. Y. Sone, M. Handa, and H. Sugimoto, "Bifurcation studies of flows of a gas between rotating coaxial circular cylinders with evaporation and condensation by the Boltzmann system," Transp. Theory Stat. Phys. 31, 299 (2002).
10. 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); 8, 841 (1996).
11. Y. Sone, Kinetic Theory and Fluid Dynamics (Birkhäuser, Boston, 2002).
12. Y. Sone and T. Doi, "Bifurcation of and ghost effect on the temperature field in the Bénard problem of a gas in the continuum limit," Phys. Fluids 15, 1405 (2003).
13. Y. Sone, "Flows induced by temperature fields in a rarefied gas and their ghost effect on the behavior of a gas in the continuum limit," Annu. Rev. Fluid Mech. 32, 779 (2000).