The onset of instability in the flow induced by an impulsively started rotating cylinder

Chemical Engineering Science

Volumn 60, Issue 3, 2005, Pages 599-608

  Kim, Min Chan ^a   Choi, Chang Kyun ^b  

^a Jeju National University   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

Developing couette flow; Propagation theory; Stability criteria; Taylor number; Taylor vortices

Indexed keywords

CYLINDERS (CONTAINERS); DEMODULATION; STABILITY; VORTEX FLOW;

INITIAL INSTABILITY; TAYLOR NUMBER;

FLOW OF FLUIDS;

COUETTE FLOW; CYLINDER; FLOW STABILITY; ROTATING FLOW;

EID: 10044274086     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2004.08.021     Document Type: Article

References (26)

1. Chandrasekhar, S., 1961. Hydrodynamic and Hydromagnetic Stability, Oxford University Press, Oxford.
2. Chen, C.F., Christensen, D.C., 1967. Stability of flow induced by an impulsively started rotating cylinder. Physics of Fluids 10, 1845-1846.
3. Chen, C.F., Kirchner, R.P., 1971. Stability of time-dependent rotational Couette flow. Part 2. Stability analysis. Journal of Fluid Mechanics 48, 365-384.
4. Chen, M.M., 1981. Thermal instability of wedge flows. Ph.D. Thesis, University of Illinois at Urbana-Champaign, Illinois.
5. Chen, J.-C., Neitzel, G.P., Jankowski, D.F., 1985. The influence of initial condition on the linear stability of time-dependent circular Couette flow. Physics of Fluids 28, 749-751.
6. Choi, C.K., Kang, K.H., Kim, M.C., Hwang, I.G. 1998. Corrective instabilities and transport properties in horizontal fluid layers. Korean Journal of Chemical Engineering 15, 192-198.
7. Choi, C.K., Park, J.H., Park, H.K., Cho, H.J., Chung, T.J., Kim, M.C., 2004. Temporal evolution of thermal convection in an initially stably-stratified horizontal fluid layer. International Journal of Thermal Sciences 43, 817-823.
8. Cooper, E.R., Jankowski, D.F., Neitzel, G.P., Squire, T.H., 1985. Experiments on the onset of instability in unsteady circular Couette flow. Journal of Fluid Mechanics 161, 97-113.
9. Kang, K.H., Choi, C.K., Hwang, I.G., 2000. Onset of Marangoni convection in a suddenly desorbing liquid layer A.I.Ch.E. Journal 46, 15-23.
10. Kasagi, N., Hirata, N., 1975. Stability of time-dependent flow around a rotating cylinder. Proceedings of the Joint JSME-ASME Applied Mechanics Conference, pp. 431-438.
11. Kim, M.C., 1992. The onset of natural convection and heat transfer correlations in systems experiencing thermal boundary layer characteristics. Ph.D. Thesis, Seoul National University, Seoul, Korea.
12. Kim, M.C., Park, H.K., Choi, C.K., 2002. Stability of an initially, stably stratified fluid subjected to a step change in temperature. Theoretical and Computational Fluid Dynamics 16, 49-57.
13. Kim, M.C., Chung, T.J., Choi, C.K., 2004a. Onset of buoyancy-driven convection in the horizontal fluid layer heated from below with time-dependent manner. Korean Journal of Chemical Engineering 21, 69-74.
14. Kim, M.C., Chung, T.J., Choi, C.K., 2004b, The onset of Taylor-like vortices in the flow induced by an impulsively started rotating cylinder. Theoretical and Computational Fluid Dynamics, accepted for publication.
15. Kirchner, R.P., Chen, C.F., 1970. Stability of time-dependent rotational Couette flow. Part 1. Experimental investigation. Journal of Fluid Mechanics 40, 39-47.
16. Koschmieder, E.L., 1993. Bénard Cells and Taylor Vortices, Cambridge University Press, New York.
17. Liu, D.C.S., 1971. Physical and numerical experiments on time-dependent rotational Couette flow. Ph.D. Thesis, Rutgers University, New Jersey.
18. Liu, D.C.S., Chen, C.F., 1973. Numerical experiments on time-dependent rotational Couette flow. Journal of Fluid Mechanics 59, 77-95.
19. Ogawa, A., Fujita, Y., Nagabayashi, N., 1985. Development and collapse of Taylor vortex on the rotating inner cylinder in the coaxial rest outer cylinder. Chemical Engineering Communications 37, 209-222.
20. Schweizer, P.M., Scriven, L.E., 1983. Evidence of Görtler-type vortices in curved film flows. Physics of Fluids 26, 619-623.
21. Squire, T.H., Jankowski, D.F., Neitzel, G.P., 1986. Experiments with deceleration from a Taylor vortex flow. Physics of Fluids 29, 2742-2743.
22. Tan, K.-K., Thorpe, R.B., 2003. Transient instability of flow induced by an impulsively started rotating cylinder. Chemical Engineering Science 58, 149-156.
23. Tranter, C.J., 1956. Integral Transforms in Mathematical Physics, Wiley, New York.
24. Walowit, J., Tsao, S., DiPrima, R.C., 1964. Stability of flow between arbitrarily spaced concentric cylindrical surfaces including the effect of a radial temperature gradient. Journal of Applied Mechanics 31, 585-593.
25. Yang, D.J., Choi, C.K., 2002. The onset of thermal convection in a horizontal fluid layer heated from below with time-dependent heat flux. Physics of Fluids 14, 930-937.
26. Yeckel, A., Derby, J.I., 2000. Effect of accelerated crucible rotating on melt composition in high pressure vertical Bridgman growth of cadmium zinc telluride. Journal of Crystal Growth 209, 734-750.