TRANSIENT BUOYANCY-THERMOCAPILLARY CONVECTION IN TWO SUPERPOSED IMMISCIBLE LIQUID LAYERS

References

• E. Barocela and A. Jalilevand , Liquid Encapsulated Float Zone Method for Micrograv-ity Production of Gallium Arsenide , AIAA paper 87-0390 , 1987 .
   Google Scholar
• M. D. Lind , Thermocapillary Flows in Floating Zone Processes , AIAA paper 87-0390 , 1987 .
   Google Scholar
• E. P. A. Metz , R. C. Miller , and R. Mazelsky , A Technique for Pulling Single Crystals of Volatile Materials , J. Appl. Phys ., vol. 33 , pp. 2016 - 2017 , 1987 .
   Google Scholar
• E. S. Johnson , Liquid Encapsulated Float Zone Melting of Gallium Arsenide , J. Cryst. Gmwth , vol. 30 , pp. 249 - 256 , 1975 .
   Web of Science ®Google Scholar
• D. Villers and J. K. Platten , Separation of Marangoni Convection from Gravitational Convection in Earth Experiments , Phys. Chem. Hydrodyn ., vol. 8 , no. 1 , pp. 173 - 183 , 1987 .
   Google Scholar
• D. Viflers and J. K. Platten , Thermal Convection in Superposed Immiscible Liquid Layers , Appl. Sci. Res ., vol. 45 , no. 2 , pp. 145 - 152 , 1988 .
   Google Scholar
• P. H. Oosthuizen and J. T. Paul , Heat Transfer Through a Closed Square Container Filled with a Liquid and a Gas , ASME paper 83-WA/HT-101 , 1983 .
   Google Scholar
• U. Projahn and H. Beer , Thermogravitational and Thennocapillary Convection Heat Transfer in Concentric and Eccentric Horizontal, Cylindrical Annuli Filled with Two Immiscible Fluids , Int. J. Heat Mass Transfer , vol. 30 , pp. 93 - 107 , 1987 .
   Web of Science ®Google Scholar
• D. Villers and J. K. Platten , Influence of Interfacial Tension Gradients on Thermal Convection in Two Superposed Immiscible Liquid Layers , Appl. Sci. Res ., vol. 47 , pp. 177 - 191 , 1990 .
   Google Scholar
• C. H. Wang , M. Sen , and P. Vasseur , Analytical Investigation of Benard Marangoni Convection Heat Transfer in a Shallow Cavity Filled with Two Immiscible Fluids , Appl. Sci. Res ., vol. 48 , pp. 35 - 53 , 1991 .
   Google Scholar
• Q. S. Liu , G. Chen , and B. Roux , Thermogravitational and Thennocapillary Convection in a Cavity Containing Two Superposed Immiscible Liquid Layers , Int. J. Heat Mass Transfer , vol. 36 , pp. 101 - 117 , 1993 .
   Web of Science ®Google Scholar
• T. Doi and J. N. Koster , Thennocapillary Convection in Two Immiscible Liquid Layers with Free Surface , Phys. Fluids A , vol. 5 , pp. 1914 - 1927 , 1993 .
   Google Scholar
• P. Wang , R. Kahawita , and D. L. Nguyen , Numerical Simulation of Buoyancy Marangoni Convection in Two Superposed Immiscible Liquid Layers with a Free Surface , Int. J. Heat Mass Transfer , vol. 37 , pp. 1111 - 1122 , 1994 .
   Google Scholar
• H. Ben Hadid and B. Roux , Buoyancy- and ThermocapiUary-Driven Flow in a Shallow Cavity Unsteady How Regimes , J. Cryst. Growth , vol. 97 , pp. 217 - 225 , 1989 .
   Web of Science ®Google Scholar
• H. Ben Hadid and B. Roux , Thermocapillary Convection in Long Horizontal Layers of Low-Prandtl-Number Melts Subject to Horizontal Temperature Gradient , J. Fluid Mech . vol. 221 , pp. 77 - 103 , 1990 .
   Google Scholar
• H. Ben Hadid and B. Roux , Buoyancy- and ThermocapiUary-Driven Flows in Differentially Heated Cavities for Low-Prandtl-Number Fluids , J. Fluid Mech ., vol. 235 , pp. 1 - 36 , 1992 .
   Google Scholar
• D. Villers and J. K. PlattNen , Coupled Bouyancy and Marangoni Convection in Acetone Experiments and Comparison with Numerical Simulations , J. Fluid Mech ., vol. 234 , pp. 487 - 510 , 1992 .
   Web of Science ®Google Scholar
• P. Wang , The Method of Fractional Steps for Solving Navier-Stokes Equations Using Parametric Splines , Acta Aerodyn. Sin ., vol. 5 , no. 3 , pp. 218 - 225 , 1987 .
   Google Scholar
• P. Wang , R. Kahawita , and D. L. Nguyen , Transient Natural Convection with Density Inversion from a Horizontal Cylinder , Phys. Fluids A , vol. 4 , no. 1 , pp. 71 - 85 , 1992 .
   Google Scholar
• A. Zebib , G. M. Homsy , and E. Meiburg , High Marangoni Number Convection in a Square Cavity , Phys. Fluids , vol. 28 , pp. 3467 - 3476 , 1985 .
   Web of Science ®Google Scholar
• P. Laure and B. Roux , Synthese des Resultats Obtenus par I'Etude de Stability des Mouvements de Convection dans une Cavite Horizontal de Grande Extension , C. R. Acad. Sci. Paris II , vol. 305 , pp. 1137 - 1143 , 1987 .
   Google Scholar
• R. V. Birikh , Thennocapillary Convection in Horizontal Layer of Liquid , J. Appl. Mech. Tech. Phys ., vol. 7 , p. 43 , 1966 .
   Google Scholar
• K. H. Winters , K. A. Cliffe , and C. P. Jackson , The Prediction of Instabilities Using Bifurcation Theory, Harwell Rept. HL86/1147 , in R. W. Lewis, E. Hinton, P. Bette, and B. A. Schrefer, (eds.) , Transient and Coupled Systems , Wiley , New York , 1987 .
   Google Scholar
• Address correspondence to Dr. Rene Kahawita, Hydraulics Division, Department of Civil Engineering, Ecole Polytechnique de Montreal, Case Postale 6079, succursale “A, ” Montreal, Quebec H3C 3A7, Canada.
   Google Scholar