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The effect of gravity modulation on thermosolutal convection in an infinite layer of fluid

Record type: Article

The effect of time-periodic vertical gravity modulation on the onset of thermosolutal convection in an infinite horizontal layer with stress-free boundaries is investigated using Floquet theory for the linear stability analysis. Situations for which the fluid layer is stably stratified in either the fingering or diffusive regimes of double-diffusive convection are considered. Results are presented both with and without steady background acceleration. Modulation may stabilize an unstable base solution or destabilize a stable base solution. In addition to synchronous and subharmonic response to the modulation frequency, instability in the double-diffusive system can occur via a complex conjugate mode. In the diffusive regime, where oscillatory onset occurs in the unmodulated system, regions of resonant instability occur and exhibit strong coupling with the unmodulated oscillatory frequency. The response to modulation of the fundamental instability of the unmodulated system is described both analytically and numerically; in the double-diffusive system this mode persists under subcritical conditions as a high-frequency lobe.

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Citation

Saunders, B.V., Murray, B.T., McFadden, G.B., Coriell, S.R. and Wheeler, A.A. (1992) The effect of gravity modulation on thermosolutal convection in an infinite layer of fluid Physics of Fluids A, 4, (6), pp. 1176-1189.

More information

Published date: 1992
Keywords: Double-diffusive convection, directional solidification, solutal convection, binary alloy, morphological instability, stability, flows

Identifiers

Local EPrints ID: 814
URI: http://eprints.soton.ac.uk/id/eprint/814
PURE UUID: 66f194d5-89aa-4ddf-9a06-66807ba497fd

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Date deposited: 25 Mar 2004
Last modified: 17 Jul 2017 17:17

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Contributors

Author: B.V. Saunders
Author: B.T. Murray
Author: G.B. McFadden
Author: S.R. Coriell
Author: A.A. Wheeler

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