The onset of Taylor-Görtler vortices in the time-dependent Couette flow induced by an impulsively imposed shear stress

Korean Journal of Chemical Engineering

Volumn 23, Issue 6, 2006, Pages 874-880

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

^a Jeju National University   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

Constant shear; Propagation theory; Taylor G rtler vortex; Time dependent couette flow

Indexed keywords

EID: 33847765474     PISSN: 02561115     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11814-006-0002-6     Document Type: Article

References (28)

1. Chadrasekhar, S., Hydrodynamic and hydmmagnetic stability, Oxford University Press (1961).
2. Carslaw, H. S. and Jaeger, J. C., Conduction of heat in solids, 2nd ed., Oxford University Press (1959).
3. Chen, C. F. and Christensen, D. K., "Stability of flow induced by an impulsively started rotating cylinder," Phys. Fluids, 10, 1845 (1967).
4. Chen, C. F. and Kirchner, R. P., "Stability of time-dependent rotational Couette flow. Part 2. Stability analysis," J. Fluid Mech., 48, 365 (1971).
5. Choi, C. K., Kang, K. H., Kim, M. C. and Hwang, I. G., "Convective instabilities and transport properties in horizontal fluid layers," Korean J. Chem. Eng., 15, 192 (1998).
6. Choi, C. K., Park, J. H., Park, H. K., Cho, H. J., Chung, T. J. and Kim, M. C., 'Temporal evolution of thermal convection in an initially, stably stratified fluid," Int. J. Therm. Sci., 43, 817 (2004).
7. Foster, T. D., "Onset of manifest convection in a layer of fluid with a time-dependent surface temperature," Phys. Fluids, 12, 2482 (1969).
8. Hwang, I. G. and Choi, C. K., "An analysis of the onset of compositional convection in a binary melt solidified from below," J. Cryst. Growth, 162, 182 (1996).
9. Kang, K. H. and Choi, C. K., "A theoretical analysis of the onset of surface-tension-driven convection in a horizontal liquid layer cooled suddenly from above," Phys. Fluids, 9, 7 (1997).
10. Kang, K. H., Choi, C. K. and Hwang, I. G., "Onset of sohital Marangoni convection in a suddenly desorbing liquid layer," AIChE J., 46, 15 (2000).
11. Kasagj, N. and Hirata, N., Stability of time-dependent flow around a rotating cylinder, Proc. Joint JSME-ASME Applied Mechanics Conference, pp. 431-438 (1975).
12. Kim, M. C., Park, H. K. and Choi, C. K., "Stability of an initially, stably stratified fluid subjected to a step change in temperature," Theoret. Comput. Fluid Dynamics, 16, 49 (2002).
13. Kim, M. C., Chung, T. J. and Choi, C. K., "The onset of Taylor-like vortices in the flow induced by an impulsively started rotating cylinder," Theoret. Comput. Fluid Dynamics, 18, 105 (2004a).
14. Kim, M. C., Chung, T. J. and Choi, C. K., "Onset of buoyancy-driven convection in the horizontal fluid layer heated from below with time-dependent manner," Korean J. Chem. Eng., 21, 69 (2004b).
15. Kim, M. C. and Choi, C. K., "The onset of instability in the flow induced by an impulsively started rotating cylinder1," Chem. Eng. Sci., 60, 5363 (2005a).
16. Kim, M. C. and Choi, C. K., "The onset of Taylor-Görtler vortices in impulsively decelerating swirl flow," Korean J. Chem. Eng., (2004).
17. Kim, M. C., Park, J. H. and Choi, C. K., "Onset of buoyancy-driven convection in the horizontal fluid layer subjected to ramp heating from below," Chem. Eng. Sci, 60, 5363 (2005b).
18. Kirchner, R. P. and Chen, C. F., "Stability of time-dependent rotational Couette flow. Part 1. Experimental investigation," J. Fluid Mech., 40, 39 (1970).
19. Liu, D. C. S., Physical and numerical experiments on time-dependent rotational Couette flow, Ph.D. Thesis, Rutgers University, New Jersey (1971).
20. MacKerrell, S. O., Blennerhassett, P. J. and Bassom, A. P., "Görtler vortices in the Rayleigh layer on an impulsively started cylinder," Phys. Fluids, 14, 2948 (2002).
21. Otto, S. R., "Stability of the flow around a cylinder: The spin-up problem," IMA J. Appl. Math., 51, 13 (1993).
22. Schweizer, P. M. and Scriven, L. E., "Evidence of Gortler-type vortices in curved film flows," Phys. Fluids, 26, 619 (1983).
23. Shen, S. F., "Some considerations on the laminar stability of time-dependent basic flows," J. Aero. Sci., 28, 397 (1961).
24. Tan, K.-K. and Thorpe, R. B., 'Transient instability of flow induced by an impulsively started rotating cylinder," Chem. Eng. Sci., 58, 149 (2003).
25. Walowft, J., Tsao, S. and DiPrima, R. C., "Stability of flow between arbitrarily spaced concentric cylidrical surfaces including the effect of a radial temperature gradient," Trans. ASME: J. Appl. Mech., 31, 585 (1964).
26. Yang, D. J. and Choi, C. K., "The onset of thermal convection in a horizontal fluid layer heated from below with time-dependent heat flux," Phys. Fluids, 14, 930 (2002).
27. Yeckel, A. and Derby, J. J., "Effect of accelerated crucible rotating on melt composition in high pressure vertical Bridgman growth of cadmium zinc telluride," J. Crystal Growth, 209, 734 (2000).
28. Yoon, D.-Y. and Choi, C.K., "Thermal convection in a saturated porous medium subjected to isothermal heating" Korean J. Chem. Eng., 6, 144 (1989).