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Coupled buoyancy and Marangoni convection in acetone: experiments and comparison with numerical simulations

Published online by Cambridge University Press:  26 April 2006

D. Villers  and
J. K. Platten
D. Villers
Affiliation:
Université de Mons - Hainaut, Department of Thermodynamics, B-7000 Mons, Belgium
J. K. Platten
Affiliation:
Université de Mons - Hainaut, Department of Thermodynamics, B-7000 Mons, Belgium
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Abstract

This paper presents a study of the convection in acetone due jointly to the thermocapillary (Marangoni) and thermogravitational effects. The liquid (acetone) is submitted to a horizontal temperature difference. Experiments and numerical simulations both show the existence of three different states: monocellular steady states, multicellular steady states and spatio-temporal structures. The results are discussed and compared with the linear stability analysis of Smith & Davis (1983).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 234 , January 1992 , pp. 487 - 510
Copyright
© 1992 Cambridge University Press

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References

Ben Hadid, H. & Roux, B. 1991 Melt motion in differentially heated horizontal cavities: motion due to buoyancy and thermocapillarity. J. Fluid Mech. 221, 77–103.Google Scholar
Birikh, R. V. 1966 Thermocapillary convection in horizontal layer of liquid. J. Appl. Mech. Tech. Phys. 7, 43.Google Scholar
Dudderar, T. D. & Simpkins, P. G. 1977 Laser speckle photography in a fluid medium. Nature 270, 45–47.Google Scholar
Kirdyashkin, A. G. 1984 Thermogravitational and thermocapillary flows in a horizontal liquid layer under the conditions of a horizontal temperature gradient. Intl J. Heat Mass Transfer 27, 1205–1218.Google Scholar
Laure, P. & Roux, B. 1989 Linear and non-linear analysis of the Hadley circulation. J. Cryst. Growth 97, 226–234.Google Scholar
Levich, V. G. 1962 (first Russian edn, 1952) Physicochemical Hydrodynamics. Prentice Hall.
Peaceman, D. W. & Rachford, H. H. 1955 The numerical solution of parabolic and elliptic differential equations. J. Soc. Indust. Appl. Maths 3, 28.Google Scholar
Platten, J. K., Villers, D. & Lhost, O. 1988 LDV study of some free convection problems at extremely slow velocities: Soret driven convection and Marangoni convection. In Laser Anemometry in Fluid Mechanics, Vol. III (ed. R. J. Adrian, T. Asanuma, D. F. G. Durao, F. Durst & J. H. Whitelaw), p. 245. Ladoan, Instituto Superior Technico, Lisbon.
Smith, M. K. & Davis, S. H. 1983 Instabilities of dynamic thermocapillary liquid layers. Part 1. Convective instabilities. J. Fluid Mech. 132, 119.Google Scholar
Villers, D. & Platten, J. K. 1985 Marangoni convection in systems presenting a minimum in surface tension. PhysicoChem. Hydrodyn. 6, 435.Google Scholar
Villers, D. & Platten, J. K. 1987 Separation of Marangoni convection from gravitational convection in earth experiments. PhysicoChem. Hydrodyn. 8, 173.Google Scholar
Villers, D. & Platten, J. K. 1990 Influence of thermocapillarity on the oscillatory convection in low Pr fluids. In Notes on Numerical Fluid Mechanics, Vol. 27 (ed. B. Roux), p. 108. Vieweg, Braunschweig.