Stability of the conduction regime of natural convection in a tall vertical annulus
Authors:
- 11 July 1980
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 99 (4) , 725-738
Abstract
The stability of natural convection in a vertical annular enclosure has been studied by the linear theory. It was found that for all Prandtl numbers the instability sets in as a wave travelling upward. For low Prandtl numbers, the larger the curvature the more stable the flow; the reverse is true for high Prandtl numbers. The theoretical predictions of the mode of instability were verified for air. A multicellular flow pattern was observed to drift upward with the predicted wave speed. The measured wavelength of the cells is in good agreement with the linear analysis.Keywords
This publication has 14 references indexed in Scilit:
- On the stability of the conduction regime of natural convection in a vertical slotInternational Journal of Heat and Mass Transfer, 1973
- On oscillatory instability of plane-parallel convective motion in a vertical channelJournal of Applied Mathematics and Mechanics, 1972
- Stability of the flow in a differentially heated inclined boxJournal of Fluid Mechanics, 1971
- A note on the stability of convection in a vertical slotJournal of Fluid Mechanics, 1970
- Stability of natural convection in a vertical slotJournal of Fluid Mechanics, 1969
- Instabilities of a buoyancy-driven systemJournal of Fluid Mechanics, 1969
- Spectrum of perturbations and stability of convective motion between vertical planesJournal of Applied Mathematics and Mechanics, 1967
- The boundary-layer regime for convection in a rectangular cavityJournal of Fluid Mechanics, 1966
- Laminar free convection in a vertical slotJournal of Fluid Mechanics, 1965
- Natural convection in an air layer enclosed between two vertical plates with different temperaturesInternational Journal of Heat and Mass Transfer, 1961