Influence of fluid thermal sensitivity on the thermo-mechanical stability of the Taylor-Couette flow

Physics of Fluids

Volumn 15, Issue 11, 2003, Pages 3308-3317

  Thomas, D G ^a   Sureshkumar, R ^a   Khomami, B ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HEATING; REYNOLDS NUMBER; ROTATION; THERMAL EFFECTS; THERMODYNAMIC STABILITY; VISCOSITY;

TIME-DEPENDENT TRANSITIONS;

FLOW OF FLUIDS;

CYLINDER; FLOW AROUND OBJECT; MECHANICAL STABILITY; ROTATION; TAYLOR-COUETTE FLOW; VISCOUS FLUID;

EID: 0344899824     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1608015     Document Type: Article

References (21)

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, Oxford, 1961).
3. C. D. Andereck, S. S. Liu, and H. L. Swinney, "Flow regimes in a circular Couette system with independently rotaing cylinders," J. Fluid Mech. 164, 155 (1986).
4. P. Chossat and G. Iooss, The Couette-Taylor Problem (Springer, New York, 1994).
5. Y. Demay and G. Iooss, "Calcul des solutions bifurquees pour la probleme de Couette-Taylor avec les deux cylinders en rotation," J. Mec. Theor. Appl. (Special Issue), 193 (1984).
6. Y. Demay, G. Iooss, and P. Laure, "Wave patterns in the small gap Couette-Taylor problem," Eur. J. Mech. B/Fluids 11, 621 (1992).
7. H. Fasel and O. Booz, "Numerical investigation of supercritical Taylor-vortex flow for a wide gap," J. Fluid Mech. 138, 21 (1984).
8. M. Golubitsky and I. N. Stewart, "Symmetry and stability in Taylor-Couette flow," SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 17, 249 (1986).
9. C. A. Jones, "On flow between counter-rotating cylinder," J. Fluid Mech. 120, 433 (1982).
10. C. B. Liao, S. J. Jane, and D. L. Young, "Numerical simulation of three dimensional Couette-Taylor flows," Int. J. Numer. Methods Fluids 29, 827 (1999).
11. P. S. Marcus, "Simulation of Taylor-Couette flow. Part 1. Numerical methods and comparison with experiments," J. Fluid Mech. 146, 45 (1984).
12. P. S. Marcus, "Simulation of Taylor-Couette flow. Part 2. Numerical results for wavy-vortex flow with one travelling," J. Fluid Mech. 146, 65 (1984).
13. R. D. Moser, P. Moin, and A. Leonard, "A spectral numerical method for the Navier-Stokes equation with applications to Taylor-Couette flow," J. Comput. Phys. 52, 524 (1983).
14. H. A. Snyder and S. K. F. Karlsson, "Experiments on the stability of Couette motion with a radial thermal gradient," Phys. Fluids 7, 1696 (1964).
15. M. Ali and P. D. Weidman, "On the stability of circular Couette flow with radial heating," J. Fluid Mech. 220, 53 (1990).
16. U. A. Al-Mubaiyedh, R. Sureshkumar, and B. Khomami, "Effect of viscous heating on the stability of Taylor-Couette flow," J. Fluid Mech. 462, 111 (2002).
17. J. M. White and S. J. Muller, "Experimental studies on the stability of Newtonian Taylor-Couette flow in the presence of viscous heating," J. Fluid Mech. 462, 133 (2002).
18. U. A. Al-Mubaiyedh, R. Sureshkumar, and B. Khomami, "Influence of energetics on the stability of viscoelastic Taylor-Couette flow," Phys. Fluids 11, 3217 (1999).
19. J. M. White and S. J. Muller, "Viscous heating and the stability of Newtonian and viscoelastic Taylor-Coutte flows," Phys. Rev. Lett. 84, 5130 (2000).
20. J. M. White and S. J. Muller, "The role of thermal sensitivity of fluid properties, centrifugal destabilization, and nonlinear disturbances on the viscous heating instability in Newtonian Taylor-Couette flow," Phys. Fluids 14, 3880 (2002).
21. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer, New York, 1988).