A finite element code based on the level set method is developed for performing two and three dimensional direct numerical simulations (DNS) of viscoelastic two-phase flow problems. The Oldroyd-B constitutive equation is used to model the viscoelastic liquid and both transient and steady state shapes of bubbles in viscoelastic buoyancy driven flows are studied. The influence of the governing dimensionless parameters, namely the Capillary number (Ca), the Deborah Number (De) and the polymer concentration parameter c, on the deformation of the bubble is also analyzed. Our simulations demonstrate that the rise velocity oscillates before reaching a steady value. The shape of the bubble, the magnitude of velocity overshoot and the amount of damping depend mainly on the parameter c and the bubble radius. Simulations also show that there is a critical bubble volume at which there is a sharp increase in the bubble terminal velocity as the increasing bubble volume increases, similar to the behavior observed in experiments. The structure of the wake of a bubble rising in a Newtonian fluid is strikingly different from that of a bubble rising in a viscoelastic fluid. In addition to the two recirculation zones at the equator of the bubble rising in a Newtonian fluid, two more recirculation zones exist in the wake of a bubble rising in viscoelastic fluids which influence the shape of a rising bubble. Interestingly, the direction of motion of the fluid a short distance below the trailing edge of a bubble rising in a viscoelastic fluid is in the opposite direction to the direction of the motion of the bubble, thus creating a “negative wake”. In this paper, the velocity field in the wake of the bubble, the effect of the parameters on the velocity field and their influence on the shape of the bubble are also investigated.
Skip Nav Destination
ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering
July 17–20, 2006
Miami, Florida, USA
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-4751-9
PROCEEDINGS PAPER
Analysis of the Motion and Deformation of a Bubble Rising in a Viscoelastic Fluid
Shriram Pillapakkam,
Shriram Pillapakkam
University of Virginia, Charlottesville, VA
Search for other works by this author on:
Pushpendra Singh,
Pushpendra Singh
New Jersey Institute of Technology, Newark, NJ
Search for other works by this author on:
Denis L. Blackmore,
Denis L. Blackmore
New Jersey Institute of Technology, Newark, NJ
Search for other works by this author on:
Nadine Aubry
Nadine Aubry
New Jersey Institute of Technology, Newark, NJ
Search for other works by this author on:
Shriram Pillapakkam
University of Virginia, Charlottesville, VA
Pushpendra Singh
New Jersey Institute of Technology, Newark, NJ
Denis L. Blackmore
New Jersey Institute of Technology, Newark, NJ
Nadine Aubry
New Jersey Institute of Technology, Newark, NJ
Paper No:
FEDSM2006-98363, pp. 67-72; 6 pages
Published Online:
September 5, 2008
Citation
Pillapakkam, S, Singh, P, Blackmore, DL, & Aubry, N. "Analysis of the Motion and Deformation of a Bubble Rising in a Viscoelastic Fluid." Proceedings of the ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. Volume 2: Fora. Miami, Florida, USA. July 17–20, 2006. pp. 67-72. ASME. https://doi.org/10.1115/FEDSM2006-98363
Download citation file:
8
Views
Related Proceedings Papers
Related Articles
New Physically Based Approach of Mass Conservation Correction in Level Set Formulation for Incompressible Two-Phase Flows
J. Fluids Eng (May,2005)
Flow Visualization of Submerged Steam Jet in Subcooled Water
J. Heat Transfer (February,2016)
Lattice Boltzmann Simulations of CO 2 Bubble Dynamics at the Anode of a μ DMFC
J. Fuel Cell Sci. Technol (May,2006)
Related Chapters
Regression Target – Objective Function
Nonlinear Regression Modeling for Engineering Applications: Modeling, Model Validation, and Enabling Design of Experiments
Industrially-Relevant Multiscale Modeling of Hydrogen Assisted Degradation
International Hydrogen Conference (IHC 2012): Hydrogen-Materials Interactions
Supporting Systems/Foundations
Handbook on Stiffness & Damping in Mechanical Design