On the influence of the liquid physical properties on bubble volumes and generation times

Abstract This work presents both theoretical and experimental studies about the specific influence of viscosity, surface tension and density in the formation of a gas bubble. The theoretical model includes both bubble formation and free rising and extends some previous work. As the previous bibliography provides rather scattered data regarding the effect of the liquid properties on bubble generation times, the results can be considered a step forward in the understanding of the subject because they separately describe the influence of viscosity, surface tension and density. The model yields satisfactory results of bubble shapes and formation times when compared to the experimental high-speed video observations obtained using non-Newtonian solutions of carboxymetyl cellulose in water at different concentrations (0.4–1.6% w/w). The complete experimental study also includes a range of different gas flow rates (1– 10 cm 3 / s ) and orifice diameters (1.5 and 2 mm).

[1]  A. D. Young,et al.  An Introduction to Fluid Mechanics , 1968 .

[2]  Huaizhi Li,et al.  Bubbles in non-Newtonian fluids: Formation, interactions and coalescence , 1999 .

[3]  Noël Midoux,et al.  Modelling the bubble formation dynamics in non-Newtonian fluids , 2002 .

[4]  V. Kelessidis Terminal Velocity of Solid Spheres Falling in Newtonian and non Newtonian Liquids , 2003 .

[5]  L E Erickson,et al.  A review of the effects of shear and interfacial phenomena on cell viability. , 1993, Critical reviews in biotechnology.

[6]  Miguel A. Galán,et al.  Numerical calculation of shapes and detachment times of bubbles generated from a sieve plate , 2006 .

[7]  C F Dewey,et al.  Turbulent fluid shear stress induces vascular endothelial cell turnover in vitro. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[8]  R. J. Benzing,et al.  Low Frequency Bubble Formation at Horizontal Circular Orifices , 1955 .

[9]  Rajinder Kumar,et al.  Studies in bubble formation—I bubble formation under constant flow conditions , 1969 .

[10]  Koichi Terasaka,et al.  Bubble formation at a nozzle submerged in viscous liquids having yield stress , 2001 .

[11]  W. Siemes,et al.  Die periodische Entstehung von Gasblasen an Dusen , 1956 .

[12]  Koichi Terasaka,et al.  Bubble formation at a single orifice in non-newtonian liquids , 1991 .

[13]  Andrea Prosperetti,et al.  Dynamics of bubble growth and detachment from a needle , 1993, Journal of Fluid Mechanics.

[14]  Rajinder Kumar,et al.  Studies in bubble formation-II bubble formation under constant pressure conditions , 1969 .