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Title: Surfactant stabilized bubbles flowing in a Newtonian fluid

Abstract

Bubbles suspended in a fluid cause the suspension to have different rheological properties than the base fluid. In general, the viscosity of the suspension increases as the volume fraction of the bubbles is increased. A current application, and motivation for this study, is in wellbore cements used for hydrocarbon extraction and carbon sequestration. In these settings, the gas bubbles are dispersed into the cement to reduce the density as well as improve the properties for specific conditions or wellbore issues. In this paper, we use Stokesian dynamics to numerically simulate the behavior of a large number of bubbles suspended in a Newtonian fluid. Going beyond prior work on simulating particles in suspension, we account for the nature of bubbles by allowing for slip on the bubble surface, the deflection on the bubble surface, and a bubble–bubble pairwise interaction that represents the surfactant physics; we do not account for bubble compressibility. We incorporate these interactions and simulate bubble suspensions of monodisperse size at several volume fractions. We find that the bubbles remain better dispersed compared with hard spherical particles that show a greater tendency to structure or cluster.

Authors:
 [1];  [2]; ORCiD logo [3]
  1. Department of Civil and Environmental Engineering, Carnegie Mellon University, Pittsburgh, PA, USA, National Energy Technology Laboratory, Pittsburgh, PA, USA
  2. National Energy Technology Laboratory, Pittsburgh, PA, USA
  3. Department of Civil and Environmental Engineering, Carnegie Mellon University, Pittsburgh, PA, USA, Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, PA, USA, Department of Materials Science and Engineering, Carnegie Mellon University, Pittsburgh, PA, USA
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1568901
Resource Type:
Published Article
Journal Name:
Mathematics and Mechanics of Solids
Additional Journal Information:
Journal Name: Mathematics and Mechanics of Solids Journal Volume: 24 Journal Issue: 12; Journal ID: ISSN 1081-2865
Publisher:
SAGE Publications
Country of Publication:
United States
Language:
English

Citation Formats

Rosenbaum, Eilis, Massoudi, Mehrdad, and Dayal, Kaushik. Surfactant stabilized bubbles flowing in a Newtonian fluid. United States: N. p., 2019. Web. doi:10.1177/1081286519854508.
Rosenbaum, Eilis, Massoudi, Mehrdad, & Dayal, Kaushik. Surfactant stabilized bubbles flowing in a Newtonian fluid. United States. doi:10.1177/1081286519854508.
Rosenbaum, Eilis, Massoudi, Mehrdad, and Dayal, Kaushik. Wed . "Surfactant stabilized bubbles flowing in a Newtonian fluid". United States. doi:10.1177/1081286519854508.
@article{osti_1568901,
title = {Surfactant stabilized bubbles flowing in a Newtonian fluid},
author = {Rosenbaum, Eilis and Massoudi, Mehrdad and Dayal, Kaushik},
abstractNote = {Bubbles suspended in a fluid cause the suspension to have different rheological properties than the base fluid. In general, the viscosity of the suspension increases as the volume fraction of the bubbles is increased. A current application, and motivation for this study, is in wellbore cements used for hydrocarbon extraction and carbon sequestration. In these settings, the gas bubbles are dispersed into the cement to reduce the density as well as improve the properties for specific conditions or wellbore issues. In this paper, we use Stokesian dynamics to numerically simulate the behavior of a large number of bubbles suspended in a Newtonian fluid. Going beyond prior work on simulating particles in suspension, we account for the nature of bubbles by allowing for slip on the bubble surface, the deflection on the bubble surface, and a bubble–bubble pairwise interaction that represents the surfactant physics; we do not account for bubble compressibility. We incorporate these interactions and simulate bubble suspensions of monodisperse size at several volume fractions. We find that the bubbles remain better dispersed compared with hard spherical particles that show a greater tendency to structure or cluster.},
doi = {10.1177/1081286519854508},
journal = {Mathematics and Mechanics of Solids},
number = 12,
volume = 24,
place = {United States},
year = {2019},
month = {6}
}

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Works referenced in this record:

Macroscopic rheological behavior of suspensions of soft solid particles in yield stress fluids
journal, August 2016


Stokesian Dynamics
journal, January 1988


Calculation of the resistance and mobility functions for two unequal rigid spheres in low-Reynolds-number flow
journal, February 1984


Shape Dynamics and Rheology of Soft Elastic Particles in a Shear Flow
journal, January 2012


On the importance of material frame-indifference and lift forces in multiphase flows
journal, September 2002


Nonequilibrium molecular dynamics for bulk materials and nanostructures
journal, February 2010

  • Dayal, Kaushik; James, Richard D.
  • Journal of the Mechanics and Physics of Solids, Vol. 58, Issue 2
  • DOI: 10.1016/j.jmps.2009.10.008

Internal relaxation time in immersed particulate materials
journal, June 2010


Rheology of a suspension of elastic particles in a viscous shear flow
journal, October 2011

  • Gao, Tong; Hu, Howard H.; Castañeda, Pedro Ponte
  • Journal of Fluid Mechanics, Vol. 687
  • DOI: 10.1017/jfm.2011.347

A Micromechanical Description of Granular Material Behavior
journal, June 1981

  • Christoffersen, J.; Mehrabadi, M. M.; Nemat-Nasser, S.
  • Journal of Applied Mechanics, Vol. 48, Issue 2
  • DOI: 10.1115/1.3157619

A fractional-order model for aging materials: An application to concrete
journal, May 2018

  • Beltempo, Angela; Zingales, Massimiliano; Bursi, Oreste S.
  • International Journal of Solids and Structures, Vol. 138
  • DOI: 10.1016/j.ijsolstr.2017.12.024

A simulation technique for many spheres in quasi-static motion under frame-invariant pair drag and Brownian forces
journal, December 1997


Homogenisation of two-phase emulsions
journal, January 1994

  • Lipton, Robert; Vernescu, Bogdan
  • Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Vol. 124, Issue 6
  • DOI: 10.1017/S0308210500030146

A note on the meaning of mixture viscosity using the classical continuum theories of mixtures
journal, July 2008


Laboratory Foamed-Cement-Curing Evolution Using CT Scanning: Insights From Elevated-Pressure Generation
journal, March 2019

  • Dalton, Laura E.; Brown, Sarah; Moore, Johnathan
  • SPE Drilling & Completion, Vol. 34, Issue 01
  • DOI: 10.2118/194007-PA

Origins of the anomalous stress behavior in charged colloidal suspensions under shear
journal, November 2010


Steady and transient flow behaviour of fresh cement pastes
journal, September 2005


Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995


Foaming, foam films, antifoaming and defoaming
journal, February 1996


Darcy's law for slow viscous flow past a stationary array of bubbles
journal, January 1990

  • Lipton, Robert; Avellaneda, Marco
  • Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Vol. 114, Issue 1-2
  • DOI: 10.1017/S0308210500024276

Effects of Polydispersity on Structuring and Rheology in Flowing Suspensions
journal, April 2019

  • Rosenbaum, Eilis; Massoudi, Mehrdad; Dayal, Kaushik
  • Journal of Applied Mechanics, Vol. 86, Issue 8
  • DOI: 10.1115/1.4043094

Effect of disjoining pressure on the drainage and relaxation dynamics of liquid films with mobile interfaces
journal, August 2009

  • Tabakova, Sonia S.; Danov, Krassimir D.
  • Journal of Colloid and Interface Science, Vol. 336, Issue 1
  • DOI: 10.1016/j.jcis.2009.03.084

Soft Dynamics simulation. 1. Normal approach of two deformable particles in a viscous fluid and optimal-approach strategy
journal, October 2008


Atomistic-to-continuum multiscale modeling with long-range electrostatic interactions in ionic solids
journal, January 2014


The Effective Conductivity of a Periodic Array of Spheres
journal, April 1983

  • Sangani, A. S.; Acrivos, A.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 386, Issue 1791
  • DOI: 10.1098/rspa.1983.0036

The computer study of transport processes under extreme conditions
journal, August 1972


The Viscosity of a Fluid Containing Small Drops of Another Fluid
journal, October 1932

  • Taylor, G. I.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 138, Issue 834
  • DOI: 10.1098/rspa.1932.0169

Dynamic simulation of sheared suspensions. I. General method
journal, May 1984

  • Bossis, G.; Brady, John F.
  • The Journal of Chemical Physics, Vol. 80, Issue 10
  • DOI: 10.1063/1.446585

The lubrication force between two viscous drops
journal, January 1989

  • Davis, Robert H.; Schonberg, Jeffrey A.; Rallison, John M.
  • Physics of Fluids A: Fluid Dynamics, Vol. 1, Issue 1
  • DOI: 10.1063/1.857525

Bubble dynamics in a viscoelastic medium with nonlinear elasticity
journal, January 2015

  • Gaudron, R.; Warnez, M. T.; Johnsen, E.
  • Journal of Fluid Mechanics, Vol. 766
  • DOI: 10.1017/jfm.2015.7

The determination of the bulk stress in a suspension of spherical particles to order c 2
journal, December 1972


Flowing resistance and dilatancy of dense suspensions: lubrication and repulsion
journal, November 2011

  • Rognon, Pierre Grégoire; Einav, Itai; Gay, Cyprien
  • Journal of Fluid Mechanics, Vol. 689
  • DOI: 10.1017/jfm.2011.397

Simulation of Failure in Hydrating Cement Particles Systems
journal, September 2007


Soft Dynamics simulation. 2. Elastic spheres undergoing a T1 process in a viscous fluid
journal, October 2009


Constitutive relations for the interaction force in multicomponent particulate flows
journal, April 2003


Internal variables and fine-scale oscillations in micromagnetics
journal, January 1994

  • James, R. D.; M�ller, Stefan
  • Continuum Mechanics and Thermodynamics, Vol. 6, Issue 4
  • DOI: 10.1007/BF01140633

A Mixture Theory formulation for hydraulic or pneumatic transport of solid particles
journal, November 2010