Overstability under simultaneous surface tension, buoyancy and shear effects in a horizontal liquid layer
Abstract
The overstability for surface tension and coupled buoyancydriven instability in a horizontal liquid layer, with very general conditions, is studied including a shear effect. A linear analysis of stability is developed to compute the critical quantities. The numerical results are compared with those obtained in a previous paper where the same problem was studied without shear effect. The introduction of the shear effect does not alter the shape of the critical profiles. A small shear has a destabilizing effect whereas an important shear is stabilizing. The critical temperature differences for the onset of instabilities remain too important for a silicon oil studied in comparison with results obtained in experiments presenting some analogy with this formalism. Computations with toluen physical properties show that shear has no significant effect.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1990
 Bibcode:
 1990aiaa.meetW....R
 Keywords:

 Boundary Value Problems;
 Buoyancy;
 Interfacial Tension;
 Mixing Layers (Fluids);
 Organic Liquids;
 S Waves;
 Critical Temperature;
 Differential Equations;
 Formalism;
 Free Boundaries;
 Roots Of Equations;
 Fluid Mechanics and Heat Transfer