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Terminal Velocity of a Bubble Rise in a Liquid Column
Authors: Mário A. R. Talaia
Abstract:
As it is known, buoyancy and drag forces rule bubble's rise velocity in a liquid column. These forces are strongly dependent on fluid properties, gravity as well as equivalent's diameter. This study reports a set of bubble rising velocity experiments in a liquid column using water or glycerol. Several records of terminal velocity were obtained. The results show that bubble's rise terminal velocity is strongly dependent on dynamic viscosity effect. The data set allowed to have some terminal velocities data interval of 8.0 ? 32.9 cm/s with Reynolds number interval 1.3 -7490. The bubble's movement was recorded with a video camera. The main goal is to present an original set data and results that will be discussed based on two-phase flow's theory. It will also discussed, the prediction of terminal velocity of a single bubble in liquid, as well as the range of its applicability. In conclusion, this study presents general expressions for the determination of the terminal velocity of isolated gas bubbles of a Reynolds number range, when the fluid proprieties are known.Keywords: Bubbles, terminal velocity, two phase-flow, vertical column.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1070173
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[1] D. Bhaga and M. E. Weber, "Bubbles in viscous liquids: shape, wakes and velocities", J. Fluid Mech., 105, 1981.
[2] G. P. Celata, M. Cumo, F. D-Annibale and A. Tomiyama, "Terminal bubble rising velocity in one-component systems". In Proc. of 39th European Two-Phase Flow Group Meeting, CDROM, paper F-3, Aveiro, 2001, 10 pages.
[3] F. H. Garner and D. Hammerton, "Circulation inside gas bubbles", Chem. Eng. Science, 3, Nº 1, pp. 1-11, 1954.
[4] J. R. Grace, T. Wairegi and T. H. Nguyen, "Shapes and velocities of single drops and bubbles moving freely Through Immiscible Liquids", Inst. Chem. Eng., 54, 176, 1976.
[5] W. L. Haberman and R. K. Morton, Taylor Model Basin, Rept. 802, 1953.
[6] F. Peebles and H. Garber, "Studies on the motion of gas bubbles in liquid", Chem. Eng. Prog., 49, n. 2, pp. 88-97, 1953.
[7] M. A. R. Talaiaa, "Uma análise dimensional: ascensão de uma bolha num líquido parado", Gazeta de Física, 23, Fasc. 2, pp. 9-12, 2000.
[8] M. A. R. Talaiab, "Predicting the rise velocity of single gas slugs in stagnant liquid: influence of liquid viscosity and tube diameter". In Proc. of the 3rd International Symposium on Two-Phase Flow Modelling and Experimentation, Edizioni ETS, CDROM, Pisa, Italy, 2004, 5 pages.
[9] A. Tomiyama, "Grag, lift and virtual mass forces acting on a single bubble". In Proc. of the 3rd International Symposium on Two-Phase Flow Modelling and Experimentation, Edizioni ETS, CDROM, Pisa, Italy, 2004, 10 pages.
[10] A. Tomiyama, G. P. Celata, S. Hosokawa and S. Yoshida, "Terminal velocity of single bubbles in surface tension force dominant regime". In Proc. of 39th European Two-Phase Flow Group Meeting, CDROM, paper F-2, Aveiro, 2001, 8 pages.
[11] G. B. Wallis, One-dimensional Two-phase Flow, Bubbly Flow, Chap. 9, McGraw-Hill, New York, pp. 243-281, 1969.
[12] E. T. White and R. H. Beardmore, "The velocity of rise of single cylindrical air bubbles through liquids contained in vertical tubes", Chem. Engng. Sci., 17, pp. 351-361, 1962.
[13] G. G. Stokes, Mathematical and Physical Papers, 1, Cambridge University Press, London, 1880.
[14] R. M. Davies and G. I. Taylor, "The mechanics of large bubbles rising through liquids in tubes", Proc. of Roy. Soc., London, 200, Ser. A, pp. 375-390, 1950.
[15] R. Collins, "The effect of a containing cylindrical boundary on the velocity of a large gas bubble in a liquid", J. Fluid Mech., 28, part 1, pp. 97-112, 1967.
[16] J. M. Kay and R. M. Nedderman, Fluid mechanics and transfer processes, London, Cambridge University Press, 1985.
[17] T. Z. Harmathy, "Velocity of large drops and bubbles in media of infinite or restricted extent", A. I. Ch. E. Journal, 6, pp. 281-288, 1960.