The effect of gravity modulation on thermosolutal convection in an infinite layer of fluid
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), 11761189.
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Description/Abstract
The effect of timeperiodic vertical gravity modulation on the onset of thermosolutal convection in an infinite horizontal layer with stressfree 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 doublediffusive 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 doublediffusive 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 doublediffusive system this mode persists under subcritical conditions as a highfrequency lobe.
Item Type:  Article  

Keywords:  Doublediffusive convection, directional solidification, solutal convection, binary alloy, morphological instability, stability, flows  
Subjects:  Q Science > QA Mathematics  
Divisions:  University Structure  Pre August 2011 > School of Mathematics > Applied Mathematics 

ePrint ID:  814  
Date : 


Date Deposited:  25 Mar 2004  
Last Modified:  31 Mar 2016 11:08  
URI:  http://eprints.soton.ac.uk/id/eprint/814 
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