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On the transition to turbulent convection. Part 2. The transition to time-dependent flow
Abstract
The Rayleigh number at which steady convective flow changes to time-dependent flow is determined experimentally for several fluids with Prandtl numbers from 1 to 10 4. The time dependence is of two forms: (i) a slow tilting of the cell boundary, with time scale of the vertical thermal diffusion time, (ii) an oscillation with a faster time scale determined by the orbit time of the fluid around the cell. The nature of this oscillation is one of hot (or cold) spots advected with the original cellular motion. At a fixed point in the fluid this produces a time periodic oscillation of the temperature. A discrete change of slope of the heat flux curve accompanies this transition. As the Rayleigh number is increased, transition to disorder is seen to result from an increase in the frequency and number of these oscillations.
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Citations
Cited by
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
Non-linear properties of thermal convection
Busse, F. H. (1978) · Reports on Progress in Physics · doi:10.1088/0034-4885/41/12/003 · Cited by 960
Mantle plumes and flood basalts
White, R. S., & McKenzie, D. (1995) · Journal of Geophysical Research: Solid Earth · doi:10.1029/95jb01585 · Cited by 548
Instabilities of convection rolls in a high Prandtl number fluid
Busse, F. H., & Whitehead, J. A. (1971) · Journal of Fluid Mechanics · doi:10.1017/s0022112071001071 · Cited by 323
Oscillatory and collective instabilities in large Prandtl number convection
Busse, F. H., & Whitehead, J. A. (1974) · Journal of Fluid Mechanics · doi:10.1017/s0022112074000061 · Cited by 186
Metadata
- Authors
- Krishnamurti, R.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1970-06-22
- Volume
- 42
- Issue
- 2
- Pages
- 309-320
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2017954284
- Cited by
- 249
- References
- 0
- FWCI
- 16.21
- Type
- journal article
- Language
- en
- Open access
- closed
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