Convection driven by concentration- and temperature-dependent surface tension
- 1 September 1983
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 134 (-1) , 301-310
- https://doi.org/10.1017/s0022112083003377
Abstract
This paper generalizes the linear stability analysis of Pearson for Marangoni instability to the case where surface tension depends on both temperature and solute concentration. The results are expressed in terms of a thermal Marangoni number BT and a solutal Marangoni number BS. It is found when BS > 0 the onset of instability has the form of stationary convection, while when BS < 0 there are circumstances in which the onset of instability is in the form of oscillatory convection.Keywords
This publication has 10 references indexed in Scilit:
- Nonlinear Marangoni convection in bounded layers. Part 2. Rectangular cylindrical containersJournal of Fluid Mechanics, 1982
- Soret-driven thermosolutal convectionJournal of Fluid Mechanics, 1971
- Global stability of the conduction-diffusion solutionArchive for Rational Mechanics and Analysis, 1970
- Buoyancy-surface tension instability by the method of energyJournal of Fluid Mechanics, 1969
- Surface tension driven oscillatory instability in a rotating fluid layerJournal of Fluid Mechanics, 1969
- On the principle of exchange of stabilitiesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1969
- Convective instability in a temperature and concentration fieldArchive for Rational Mechanics and Analysis, 1968
- The thermohaline Rayleigh-Jeffreys problemJournal of Fluid Mechanics, 1967
- Nature of the Neutral State in Surface-Tension Driven ConvectionPhysics of Fluids, 1966
- On convection cells induced by surface tensionJournal of Fluid Mechanics, 1958