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Principle of Exchange of Stabilities in the Marangoni Convection System  

Kim, Min Chan (Department of Chemical Engineering, Cheju National University)
Publication Information
Korean Chemical Engineering Research / v.47, no.2, 2009 , pp. 262-265 More about this Journal
Abstract
For the initially quiescent fluid layer, the principle of the exchange of stabilities for the Marangoni convection due to the impulsive temperature change is proven analytically. Under the linear stability theory, the temperature and vertical velocity disturbances are express as the liner combination of the orthogonal functions. It is shown that the growth rate of the temperature disturbance is the real function for all positive Marangoni numbers.
Keywords
Marangoni Convection; Exchange of Stabilities;
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1 Vidal, A. and Acrivos, A., "Nature of the Neutral State in Surface- tension Driven Convection," Phys. Fluids 9, 615(1966)   DOI   ScienceOn
2 Vidal, A. and Acrivos, A., "Effect of Nonlinear Temperature Profiles on Onset of Convection Driven by Surface Tension Gradients," Ind. Eng. Chem. Fund., 7, 53(1968)   DOI
3 Gumerman, R. J. and Homsy, G. M., "The Stability of Uniformly Accelerated Flow with Application to Convection Driven by Surface Tension," J. Fluid Mech. 68, 191(1975)   DOI   ScienceOn
4 Tan K. K. and Thorpe, R. B., "On Convection Driven by Surface Tension Caused by Transient Heat Conduction," Chem. Eng. Sci. 54, 775(1999)   DOI   ScienceOn
5 Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability, Oxford Univ. Press, London, England(1961)
6 Vrentas, J. S. and Vrentas, C. M., "Exchange of Stabilities for Surface Tension Driven Convection," Chem. Eng. Sci. 59, 4433(2004)   DOI   ScienceOn
7 Finlayson, B. A., The Method of Weighted Residuals and Variational Principles, Academic Press, New York(1972)
8 Kim, M. C., Choi, C. K., Yoon, D. Y. and Chung, T. J., "Onset of Marangoni Convection in a Horizontal Fluid Layer Experiencing Evaporative Cooling," Ind. Eng. Chem. Res. 46, 5775(2007)   DOI   ScienceOn
9 Pearson, J. R. A., "On Convection Cells Induced by Surface Tension," J. Fluid Mech. 4, 489(1958)   DOI