Interfacial Energy Balance Equation for Surface-Tension-Driven Bénard Convection
- 9 June 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 78 (23) , 4395-4397
- https://doi.org/10.1103/physrevlett.78.4395
Abstract
Existing theories for the surface-tension-driven Bénard convection (Marangoni convection) have considered only thermocapillary effects through the shear stress balance equation at the interface via the surface-tension-gradient-induced shear stresses. Thermocapillary induced surface energy variation has been ignored altogether in these theories. A formulation taking into account this surface energy variation shows that it can have a non-negligible effect on the onset of Bénard convection cells.Keywords
This publication has 6 references indexed in Scilit:
- Onset of Surface-Tension-Driven Bénard ConvectionPhysical Review Letters, 1995
- Thermocapillary InstabilitiesAnnual Review of Fluid Mechanics, 1987
- The effect of the variation of surface tension with temperature on the motion of bubbles and dropsJournal of Fluid Mechanics, 1967
- On convection cells induced by surface tensionJournal of Fluid Mechanics, 1958
- Surface Tension as the Cause of Bénard Cells and Surface Deformation in a Liquid FilmNature, 1956
- LIX. On convection currents in a horizontal layer of fluid, when the higher temperature is on the under sideJournal of Computers in Education, 1916