Benard-marangoni Thermoconvective Instability in Presence of a Temperature-dependent Viscosity
(1993) Journal de Physique II — Vol. 3, n° 8, p. 1185-1199 (1993)
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- Abstract
- A linear analysis of surface-tension and gravity driven instabilities in fluids with a temperature-dependent viscosity is proposed. The fluid layer is initially at rest, of infinite horizontal extent, limited by two flat boundaries and subject to a vertical temperature gradient. Two different dependences of the viscosity with respect to the temperature are considered : a linear and an exponential law. Numerical results have been obtained for any value - either positive or negative - of the Marangoni and the Rayleigh numbers. The stabilizing or destabilizing role of a temperature-dependent viscosity depends on the sign of its variation with temperature. The results obtained for glycerol and silicone oils show that this temperature-dependence has a significant influence on the onset of instability, specially in very thin layers. A numerical analysis indicates that the principle of exchange of stability holds true within a wide range of variation of the parameters.
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Selak, R., & Lebon, G. (1993). Benard-marangoni Thermoconvective Instability in Presence of a Temperature-dependent Viscosity. Journal de Physique II, 3(8), 1185-1199. https://doi.org/10.1051/jp2:1993191 (Original work published 1993)