Korean Journal of Chemical Engineering, Vol.17, No.2, 169-173, March, 2000
Experimental Studies on the Instabilities of Viscous Fingering in a Hele-Shaw Cell
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When air injected into silicone oil contained in a horizontal Hele-Shaw cell, a single air bubble forms and grows showing various interesting phenomena. In this study the effects of the bubble front velocity, air injection velocity at a nozzle, fluid properties and cell depth on the stability of the growing bubble were investigated experimentally. By using the modified capillary number involving the aspect ratio, we obtained the onset conditions of the unstable bubble. Also, the bubble width was analyzed both quantitatively and qualitatively. Before the bubble experiences splitting, the bubble front velocity is almost proportional to the air injection velocity. Therefore the latter velocity may be used in a practical sense.
- Bensimon D, Phys. Rev., A, 33, 1302 (1986)
- Cho ES, "An Experimental Study on Two-phase Flow Characteristics in Gas-injected Hele-Shaw Cells," Ph. D. Thesis, Seoul National University, Seoul (1996)
- Cho ES, "Experimental Studies on Gas-injected Finger Convection in a Hele-Shaw Cell," Proc. 4th World Conf. Experimental Heat Transfer, Fluid Mech. and Thermodynamics, Edizioni ETS, Pisa, 4, 2143 (1997)
- DeGregoria AJ, Phys. Fluids, 28, 2312 (1985)
- Homsy GM, Annu. Rev. Fluid Mech., 19, 271 (1987)
- Maxworthy T, J. Fluid Mech., 177, 297 (1987)
- McLean JW, J. Fluid Mech., 102, 455 (1981)
- Park CW, Phys. Fluids, 28, 1583 (1985)
- Park CW, Phys. Fluids, 6, 3267 (1994)
- Saffman PG, "The penetration of a Fluid into a Porous Medium Hele-Shaw Cell Containing a More Viscous Liquid," Proc. Royal Soc. Lond. A, 245, 312 (1958)
- Tabeling P, J. Fluid Mech., 177, 67 (1987)