Simulating bubble dynamics in a buoyant system

Arai, Erin; Villafranco, Dorien; Grace, Sheryl; Ryan, Emily

doi:10.1002/fld.4778

Title: Simulating bubble dynamics in a buoyant system

Journal Article · 31 October 2019 · International Journal for Numerical Methods in Fluids

DOI: https://doi.org/10.1002/fld.4778 · OSTI ID:1572575

^[1];

^[1]; Grace, Sheryl ^[1]; Ryan, Emily ^[1]

Department of Mechanical Engineering Boston University Boston Massachusetts

Summary Multiphase flows are critical components of many physical systems; however, numerical models of multiphase flows with large parameter gradients can be challenging. Here, two different numerical methods, volume of fluid (VOF) and smoothed particle hydrodynamics (SPH), are used to model the buoyant rise of isolated gas bubbles through quiescent fluids for a range of Bond and Reynolds numbers. The VOF is an Eulerian grid–based method, whereas the SPH is Lagrangian and mesh free. Each method has unique strengths and weaknesses, and a comparison of the two approaches as applied to multiphase phenomena has not previously been performed. The VOF and SPH simulations are compared, verified, and validated. Results using two‐dimensional VOF and SPH simulations are similar to each other and are able to reproduce numerical benchmarks and experimental results for sufficiently large Morton and Reynolds numbers. It is also shown that at low Reynolds numbers, the two methods, SPH and VOF, diverge in the transient regime of the bubble rise. Regimes that require simulations capable of representing three‐dimensional drag are identified as well as regimes in which results from VOF and SPH diverge.

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

OSTI ID:: 1572575

Journal Information:: International Journal for Numerical Methods in Fluids, Journal Name: International Journal for Numerical Methods in Fluids Vol. 92 Journal Issue: 3; ISSN 0271-2091

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

References (56)

Numerical investigation of rising bubbles bursting at a free surface through a multiphase SPH model Ming, F. R.; Sun, P. N.; Zhang, A. M. Meccanica, Vol. 52, Issue 11-12 https://doi.org/10.1007/s11012-017-0634-0	journal	February 2017
Numerical simulation of the electrohydrodynamic effects on bubble rising using the SPH method Rahmat, A.; Tofighi, N.; Yildiz, M. International Journal of Heat and Fluid Flow, Vol. 62 https://doi.org/10.1016/j.ijheatfluidflow.2016.10.001	journal	December 2016
Thermomechanical total Lagrangian SPH formulation for solid mechanics in large deformation problems Ba, Kadiata; Gakwaya, Augustin Computer Methods in Applied Mechanics and Engineering, Vol. 342 https://doi.org/10.1016/j.cma.2018.07.038	journal	December 2018
Bubble evolution through submerged orifice using smoothed particle hydrodynamics: Basic formulation and model validation Das, A. K.; Das, P. K. Chemical Engineering Science, Vol. 64, Issue 10 https://doi.org/10.1016/j.ces.2009.01.053	journal	May 2009
The use of Volume of Fluid technique to analyze multiphase flows: Specific case of bubble rising in still liquids Cano-Lozano, J. C.; Bolaños-Jiménez, R.; Gutiérrez-Montes, C. Applied Mathematical Modelling, Vol. 39, Issue 12 https://doi.org/10.1016/j.apm.2014.11.034	journal	June 2015
A numerical and experimental study of the terminal velocity and shape of bubbles in viscous liquids Raymond, F.; Rosant, J. -M. Chemical Engineering Science, Vol. 55, Issue 5 https://doi.org/10.1016/S0009-2509(99)00385-1	journal	March 2000
A novel method for modeling Neumann and Robin boundary conditions in smoothed particle hydrodynamics Ryan, Emily M.; Tartakovsky, Alexandre M.; Amon, Cristina Computer Physics Communications, Vol. 181, Issue 12 https://doi.org/10.1016/j.cpc.2010.08.022	journal	December 2010
Volume-of-fluid (VOF) simulations of rise of single/multiple bubbles in sheared liquids Rabha, Swapna S.; Buwa, Vivek V. Chemical Engineering Science, Vol. 65, Issue 1 https://doi.org/10.1016/j.ces.2009.06.061	journal	January 2010
Smoothed particle hydrodynamics and magnetohydrodynamics Price, Daniel J. Journal of Computational Physics, Vol. 231, Issue 3 https://doi.org/10.1016/j.jcp.2010.12.011	journal	February 2012
Bubbles in viscous liquids: shapes, wakes and velocities Bhaga, D.; Weber, M. E. Journal of Fluid Mechanics, Vol. 105, Issue -1 https://doi.org/10.1017/S002211208100311X	journal	April 1981
Accurate and efficient surface reconstruction from volume fraction data on general meshes Scheufler, Henning; Roenby, Johan Journal of Computational Physics, Vol. 383 https://doi.org/10.1016/j.jcp.2019.01.009	journal	April 2019
A hybrid micro-scale model for transport in connected macro-pores in porous media Ryan, Emily M.; Tartakovsky, Alexandre M. Journal of Contaminant Hydrology, Vol. 126, Issue 1-2 https://doi.org/10.1016/j.jconhyd.2011.06.005	journal	September 2011
Pore-scale modeling of competitive adsorption in porous media Ryan, Emily M.; Tartakovsky, Alexandre M.; Amon, Cristina Journal of Contaminant Hydrology, Vol. 120-121 https://doi.org/10.1016/j.jconhyd.2010.06.008	journal	March 2011
Vofi — A library to initialize the volume fraction scalar field Bnà, S.; Manservisi, S.; Scardovelli, R. Computer Physics Communications, Vol. 200 https://doi.org/10.1016/j.cpc.2015.10.026	journal	March 2016
Numerical Simulation of Dense Gas-Solid Fluidized Beds: A Multiscale Modeling Strategy van der Hoef, M. A.; van Sint Annaland, M.; Deen, N. G. Annual Review of Fluid Mechanics, Vol. 40, Issue 1 https://doi.org/10.1146/annurev.fluid.40.111406.102130	journal	January 2008
PySPH: a reproducible and high-performance framework for smoothed particle hydrodynamics Ramachandran, Prabhu Proceedings of the Python in Science Conference https://doi.org/10.25080/Majora-629e541a-011	conference	January 2016
Error estimation in smoothed particle hydrodynamics and a new scheme for second derivatives Fatehi, R.; Manzari, M. T. Computers & Mathematics with Applications, Vol. 61, Issue 2 https://doi.org/10.1016/j.camwa.2010.11.028	journal	January 2011
A Front-Tracking Method for the Computations of Multiphase Flow Tryggvason, G.; Bunner, B.; Esmaeeli, A. Journal of Computational Physics, Vol. 169, Issue 2 https://doi.org/10.1006/jcph.2001.6726	journal	May 2001
A numerical approach to the testing of the fission hypothesis Lucy, L. B. The Astronomical Journal, Vol. 82 https://doi.org/10.1086/112164	journal	December 1977
A continuum method for modeling surface tension Brackbill, J. U.; Kothe, D. B.; Zemach, C. Journal of Computational Physics, Vol. 100, Issue 2 https://doi.org/10.1016/0021-9991(92)90240-Y	journal	June 1992
Numerical simulation of bubble rising in viscous liquid Hua, Jinsong; Lou, Jing Journal of Computational Physics, Vol. 222, Issue 2 https://doi.org/10.1016/j.jcp.2006.08.008	journal	March 2007
Lattice Boltzmann modeling of buoyant rise of single and multiple bubbles Anwar, Shadab Computers & Fluids, Vol. 88 https://doi.org/10.1016/j.compfluid.2013.09.015	journal	December 2013
Comparison of volume-of-fluid methods for surface tension-dominant two-phase flows Gerlach, D.; Tomar, G.; Biswas, G. International Journal of Heat and Mass Transfer, Vol. 49, Issue 3-4 https://doi.org/10.1016/j.ijheatmasstransfer.2005.07.045	journal	February 2006
Dynamics of an initially spherical bubble rising in quiescent liquid Tripathi, Manoj Kumar; Sahu, Kirti Chandra; Govindarajan, Rama Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms7268	journal	February 2015
Modeling extracellular matrix viscoelasticity using smoothed particle hydrodynamics with improved boundary treatment Heck, Tommy; Smeets, Bart; Vanmaercke, Simon Computer Methods in Applied Mechanics and Engineering, Vol. 322 https://doi.org/10.1016/j.cma.2017.04.031	journal	August 2017
Viscous bubbly flows simulation with an interface SPH model Grenier, N.; Le Touzé, D.; Colagrossi, A. Ocean Engineering, Vol. 69 https://doi.org/10.1016/j.oceaneng.2013.05.010	journal	September 2013
Numerical simulation of interfacial flows by smoothed particle hydrodynamics Colagrossi, Andrea; Landrini, Maurizio Journal of Computational Physics, Vol. 191, Issue 2 https://doi.org/10.1016/S0021-9991(03)00324-3	journal	November 2003
Simulation of a cusped bubble rising in a viscoelastic fluid with a new numerical method Wagner, A. J.; Giraud, L.; Scott, C. E. Computer Physics Communications, Vol. 129, Issue 1-3 https://doi.org/10.1016/S0010-4655(00)00109-0	journal	July 2000
Bubble generation in quiescent and co-flowing liquids Chakraborty, I.; Biswas, G.; Ghoshdastidar, P. S. International Journal of Heat and Mass Transfer, Vol. 54, Issue 21-22 https://doi.org/10.1016/j.ijheatmasstransfer.2011.06.010	journal	October 2011
Interaction of bubbles rising inline in quiescent liquid Gumulya, M.; Utikar, R. P.; Evans, G. M. Chemical Engineering Science, Vol. 166 https://doi.org/10.1016/j.ces.2017.03.013	journal	July 2017
Smoothed particle hydrodynamics: theory and application to non-spherical stars Gingold, R. A.; Monaghan, J. J. Monthly Notices of the Royal Astronomical Society, Vol. 181, Issue 3 https://doi.org/10.1093/mnras/181.3.375	journal	December 1977
Smoothed particle hydrodynamics method for fluid flows, towards industrial applications: Motivations, current state, and challenges Shadloo, M. S.; Oger, G.; Le Touzé, D. Computers & Fluids, Vol. 136 https://doi.org/10.1016/j.compfluid.2016.05.029	journal	September 2016
Simulating surface tension with smoothed particle hydrodynamics Morris, Joseph P. International Journal for Numerical Methods in Fluids, Vol. 33, Issue 3 https://doi.org/10.1002/1097-0363(20000615)33:3<333::AID-FLD11>3.0.CO;2-7	journal	January 2000
Liquid drops and surface tension with smoothed particle applied mechanics Nugent, S.; Posch, H. A. Physical Review E, Vol. 62, Issue 4 https://doi.org/10.1103/PhysRevE.62.4968	journal	October 2000
Numerical Convergence in Smoothed Particle Hydrodynamics Zhu, Qirong; Hernquist, Lars; Li, Yuexing The Astrophysical Journal, Vol. 800, Issue 1 https://doi.org/10.1088/0004-637X/800/1/6	journal	February 2015
Smoothed particle hydrodynamics Monaghan, J. J. Reports on Progress in Physics, Vol. 68, Issue 8 https://doi.org/10.1088/0034-4885/68/8/R01	journal	July 2005
Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments Liu, M. B.; Liu, G. R. Archives of Computational Methods in Engineering, Vol. 17, Issue 1 https://doi.org/10.1007/s11831-010-9040-7	journal	February 2010
An SPH modeling of bubble rising and coalescing in three dimensions Zhang, Aman; Sun, Pengnan; Ming, Furen Computer Methods in Applied Mechanics and Engineering, Vol. 294 https://doi.org/10.1016/j.cma.2015.05.014	journal	September 2015
Spurious interface fragmentation in multiphase SPH: SPURIOUS INTERFACE FRAGMENTATION IN MULTIPHASE SPH Szewc, K.; Pozorski, J.; Minier, J. -P. International Journal for Numerical Methods in Engineering, Vol. 103, Issue 9 https://doi.org/10.1002/nme.4904	journal	April 2015
An adaptive mesh refinement based flow simulation for free-surfaces in thermal inkjet technology Tan, Hua International Journal of Multiphase Flow, Vol. 82 https://doi.org/10.1016/j.ijmultiphaseflow.2016.01.001	journal	June 2016
Quantitative benchmark computations of two-dimensional bubble dynamics Hysing, S.; Turek, S.; Kuzmin, D. International Journal for Numerical Methods in Fluids, Vol. 60, Issue 11 https://doi.org/10.1002/fld.1934	journal	August 2009
Effect of three‐dimensionality on the lift and drag of nominally two‐dimensional cylinders Mittal, R.; Balachandar, S. Physics of Fluids, Vol. 7, Issue 8 https://doi.org/10.1063/1.868500	journal	August 1995
Volume of fluid (VOF) method for the dynamics of free boundaries Hirt, C. W.; Nichols, B. D. Journal of Computational Physics, Vol. 39, Issue 1 https://doi.org/10.1016/0021-9991(81)90145-5	journal	January 1981
BIOTC: An open-source CFD code for simulating biomass fast pyrolysis Xiong, Qingang; Aramideh, Soroush; Passalacqua, Alberto Computer Physics Communications, Vol. 185, Issue 6 https://doi.org/10.1016/j.cpc.2014.02.012	journal	June 2014
Investigating the Effects of Anisotropic Mass Transport on Dendrite Growth in High Energy Density Lithium Batteries Tan, Jinwang; Tartakovsky, Alexandre M.; Ferris, Kim Journal of The Electrochemical Society, Vol. 163, Issue 2 https://doi.org/10.1149/2.0951602jes	journal	November 2015
The development of a bubble rising in a viscous liquid Chen, Li; Garimella, Suresh V.; Reizes, John A. Journal of Fluid Mechanics, Vol. 387 https://doi.org/10.1017/S0022112099004449	journal	May 1999
A multi-phase SPH method for macroscopic and mesoscopic flows Hu, X. Y.; Adams, N. A. Journal of Computational Physics, Vol. 213, Issue 2 https://doi.org/10.1016/j.jcp.2005.09.001	journal	April 2006
Numerical simulation of liquid/gas phase flow during mold filling Tavakoli, Rohallah; Babaei, Reza; Varahram, Naser Computer Methods in Applied Mechanics and Engineering, Vol. 196, Issue 1-3 https://doi.org/10.1016/j.cma.2006.06.001	journal	December 2006
Simulations of single bubbles rising through viscous liquids using Smoothed Particle Hydrodynamics Szewc, K.; Pozorski, J.; Minier, J. -P. International Journal of Multiphase Flow, Vol. 50 https://doi.org/10.1016/j.ijmultiphaseflow.2012.11.004	journal	April 2013
Modeling Two-Phase Flows Using SPH Method Valizadeh, A.; Shafieefar, M.; Monaghan, J. J. Journal of Applied Sciences, Vol. 8, Issue 21 https://doi.org/10.3923/jas.2008.3817.3826	journal	December 2008
Numerical simulation of a single rising bubble by VOF with surface compression: NUMERICAL SIMULATION OF A SINGLE RISING BUBBLE BY VOF WITH SURFACE COMPRESSION Klostermann, J.; Schaake, K.; Schwarze, R. International Journal for Numerical Methods in Fluids, Vol. 71, Issue 8 https://doi.org/10.1002/fld.3692	journal	July 2012
A comparison between the surface compression method and an interface reconstruction method for the VOF approach Cifani, P.; Michalek, W. R.; Priems, G. J. M. Computers & Fluids, Vol. 136 https://doi.org/10.1016/j.compfluid.2016.06.026	journal	September 2016
A lattice Boltzmann method for incompressible two-phase flows with large density differences Inamuro, T.; Ogata, T.; Tajima, S. Journal of Computational Physics, Vol. 198, Issue 2 https://doi.org/10.1016/j.jcp.2004.01.019	journal	August 2004
A coupled level-set and volume-of-fluid method for the buoyant rise of gas bubbles in liquids Chakraborty, I.; Biswas, G.; Ghoshdastidar, P. S. International Journal of Heat and Mass Transfer, Vol. 58, Issue 1-2 https://doi.org/10.1016/j.ijheatmasstransfer.2012.11.027	journal	March 2013
Unsteady development of a deformable bubble rising in a quiescent liquid Agarwal, Alpana; Tai, C. F.; Chung, J. N. Computer Methods in Applied Mechanics and Engineering, Vol. 199, Issue 17-20 https://doi.org/10.1016/j.cma.2009.11.022	journal	March 2010
Curvature computation in volume-of-fluid method based on point-cloud sampling Kassar, Bruno B. M.; Carneiro, João N. E.; Nieckele, Angela O. Computer Physics Communications, Vol. 222 https://doi.org/10.1016/j.cpc.2017.10.003	journal	January 2018

Similar Records

Dynamic Pressure Drag on Rising Buoyant Thermals in a Neutrally Stable Environment

Journal Article · 2022 · Journal of the Atmospheric Sciences · OSTI ID:2421424

Morrison, Hugh; Jeevanjee, Nadir; Yano, Jun-Ichi

Experimental and numerical studies of cold inflow at the exit of buoyant channel flows

Journal Article · 1987 · Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States) · OSTI ID:6082715

Modi, V; Torrance, K E

Single-Bubble Flow Boiling Phenomena - Interface Tracking Simulation

Journal Article · 2016 · Transactions of the American Nuclear Society · OSTI ID:23042921

Li, Mengnan; Bolotnov, Igor A.

Title: Simulating bubble dynamics in a buoyant system

Citation Formats

References (56)

Similar Records

Related Subjects