Abstract
The rise behavior of single air bubbles of different size in viscous liquids (water/glycerol mixtures) is investigated using a 3D Direct Numerical Simulation method. The simulations where performed by the ITLR inhouse code Free Surface 3D (FS3D) which solves the incompressible Navier-Stokes equations using a Volume-of-Fluid (VOF) technique. The computational effort is reduced by using a moving frame of reference. This moving frame allows the simulation of a large scale rising trajectory. The numerical results, which comprise the terminal rise velocity, the aspect ratio of the deformed bubbles and the resulting bubble shape are compared to experimental data from literature. The simulations were performed on the NEC SX-8 and NEC SX-9 platforms of the HLRS.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Clift, R., Grace, J.R., Weber, M.E.: Bubbles, Drops, and Particles. Dover Publications Inc., Mineola, New York, USA (2005)
Maxworthy, T., Gnann, C., Kürten, M., Durst, F.: Experiments on the rising of air bubbles in clean viscous liquids. Journal of Fluid Mechanics, 321, 421–411 (1996)
Raymond, F., Rosant, J.: A numerical and experimental study of the terminal velocity and shape of bubbles in viscous liquids. Chemical Engineering Science, 55, 943–955 (2000)
Hirt, C.W., Nichols, B.D.: Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries. Journal of Computational Physics, 39, 201–225 (1981)
Lafaurie, B., Nardon, C., Scardovelli, R., Zaleski, S., Zanetti, G.: Modelling merging and fragmentation in multiphase flows with SURFER. Journal of Computational Physics, 113, 134–147 (1994)
Rieder, W.J., Kothe, D.B.: Reconstructing volume tracking. Journal of Computational Physics, 141, 112–152 (1998)
Graf, F.: Numerische Untersuchungen angeströmter Flüssigkeitstropfen. Studienarbeit, Institut für Thermodynamikder Luft- und Raumfahrt, Universität Stuttgart, Germany (2000)
Moore, D.W.: The velocity of rise of distorted gas bubbles in a liquid of small viscosity. Journal of Fluid Mechanics, 23, 749–766 (1965)
Sander, W., Weigand, B.: On the influence of the Nozzle Design for Water Sheets. In: High Performance Computing in Science and Engineering ’07. Springer, Berlin Heidelberg New York (2008)
Bengel, G., Baun, C., Kunze, M., Stucky, K.U.: Masterkurs Parallele und Verteilte Systeme. Vieweg+Teubner, Wiesbaden (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Weking, H., Huber, C., Weigand, B. (2010). Direct Numerical Simulation of Single Gaseous Bubbles in Viscous Liquids. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering '09. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04665-0_20
Download citation
DOI: https://doi.org/10.1007/978-3-642-04665-0_20
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04664-3
Online ISBN: 978-3-642-04665-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)