Stability of an initially, stably stratified fluid subjected to a step change in temperature

Theoretical and Computational Fluid Dynamics

Volumn 16, Issue 1, 2002, Pages 49-57

  Kim, M C ^a   Park, H K ^b   Choi, C K ^b  

^a Jeju National University   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036027049     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00162-002-0066-9     Document Type: Article

References (18)

1. Choi, C.K., Kang, K.H., Kim, M.C., and Hwang, I.G. (1998). Convective instabilities and transport properties in horizontal fluid layers. Korean J. Chem. Eng., 15, 192-198.
2. Currie, I.G. (1967). The effect of heating rate on the stability of stationary fluid. J. Fluid Mech., 29, 337-347.
3. Foster, T.D. (1965). Stability of homogeneous fluid cooled uniformly from above. Phys. Fluids, 8, 1249-1257.
4. Foster, T.D. (1969). Onset of manifest convection in a layer of fluid with a time-dependent surface temperature. Phys. Fluids, 12, 2482-2487.
5. Gresho, P.M., and Sani, R.L. (1971). The stability of a fluid layer subjected to a step change in temperature: transient vs. frozen time analysis. Int. J. Heat Mass Transfer, 14, 207-221.
6. Hatta, O.T., and Sandall, O.C. (1995). Computational Methods in Chemical Engineering. Prentice-Hall, Englewood Cliffs. NJ.
7. Hwang. I.G., and Choi, C.K. (1996). An analysis of the onset of compositional convection in a binary melt solidified from below. J. Cryst. Growth, 162, 182-189.
8. Inoue, Y., Akutagawa, S., Saeki, S., and Ito, R. (1983). Bénard convection of electrolytic solution in electric field. Kagakugogaku Ronbunshu, 9, 359-369.
9. Jhaveri, B.S., and Homsy, G.M. (1982). The onset of convection in fluid layers heated rapidly in a time-dependent manner. J. Fluid Mech., 114, 251-260.
10. Kang, K.H., Choi, C.K., and Hwang, I.G. (2000). Onset of solutal Marangoni convection in a suddenly desorbing liquid layer. AIChE J., 46, 15-23.
11. Kim, M.C., Choi, K.H., and Choi, C.K. (1999). Onset of thermal convection in an initially stably stratified fluid layer. Int. J. Heat Mass Transfer, 42, 4253-4258.
12. Lick, W. (1965). The stability of fluid layer with time-dependent heating. J. Fluid Mech., 21, 565-576.
13. Mahalov, A., and Leibovich S. (1992). On the calculation of coupling coefficients in amplitude equations. J. Comput. Phys., 101, 441-444.
14. Morton, B.R. (1957). On the equilibrium of a stratified layer of fluid. J. Mech. Appl. Math., 10, 433-447.
15. Patrick, M.A., and Wragg A.A. (1975). Optical and electrochemical studies of transient free convection mass transfer at horizontal surfaces. Int. J. Heat Mass Transfer, 18, 1397-1405.
16. Ueda, H., Komori, S., Miyazaki, T., and Ozoe, H. (1984). Time-dependent thermal convection in a stably stratified fluid layer heated from below. Phys. Fluids, 27, 2617-2623.
17. Wankat, P.C., and Homsy, G.M. (1977). Lower bounds for the onset time of instability in a heated layer. Phys. Fluids, 20, 1200-1201.
18. Yang, D.J., and Choi, C.K. (2002). The onset of thermal convection in a horizontal fluid layer heated from below with time-dependent heat flux. Phys. Fluids, 14, 930-937.