Wettability and capillary effects: Dynamics of pinch-off in unconstricted straight capillary tubes
Abstract
We study the interfacial evolution of immiscible two-phase flow within a capillary tube in the partial wetting regime using direct numerical simulation. We investigate the flow patterns resulting from the displacement of a more viscous fluid by a less viscous one under a wide range of wettability conditions. We find that beyond a wettability dependent critical capillary number, a uniform displacement by a less viscous fluid can transition into a growing finger that eventually breaks up into discrete blobs by a series of pinch-off events for both wetting and non-wetting contact angles. This study validates previous experimental observations of pinch-off for wetting contact angles and extends those to non-wetting contact angles. We find that the blob length increases with the capillary number. We observe that the time between consecutive pinch-off events decreases with the capillary number and is greater for more wetting conditions in the displaced phase. Here, we further show that the blob separation distance as a function of the difference between the inlet velocity and the contact line speed collapses into two monotonically decreasing curves for wetting and non-wetting contact angles. For the phase separation in the form of pinch-off, this work provides a quantitative study of themore »
- Authors:
-
- Stanford Univ., CA (United States)
- Univ. of Maryland, College Park, MD (United States)
- Publication Date:
- Research Org.:
- Stanford Univ., CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1760009
- Grant/Contract Number:
- SC0019165
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 2; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; Porous media; immiscible two-phase flow; wettability; pinch-off; displacement of immiscible fluids; microfluidics; wetting; microfluidic devices; multiphase flows; Navier-Stokes equation
Citation Formats
Esmaeilzadeh, Soheil, Qin, Zhipeng, Riaz, Amir, and Tchelepi, Hamdi A. Wettability and capillary effects: Dynamics of pinch-off in unconstricted straight capillary tubes. United States: N. p., 2020.
Web. doi:10.1103/physreve.102.023109.
Esmaeilzadeh, Soheil, Qin, Zhipeng, Riaz, Amir, & Tchelepi, Hamdi A. Wettability and capillary effects: Dynamics of pinch-off in unconstricted straight capillary tubes. United States. https://doi.org/10.1103/physreve.102.023109
Esmaeilzadeh, Soheil, Qin, Zhipeng, Riaz, Amir, and Tchelepi, Hamdi A. Wed .
"Wettability and capillary effects: Dynamics of pinch-off in unconstricted straight capillary tubes". United States. https://doi.org/10.1103/physreve.102.023109. https://www.osti.gov/servlets/purl/1760009.
@article{osti_1760009,
title = {Wettability and capillary effects: Dynamics of pinch-off in unconstricted straight capillary tubes},
author = {Esmaeilzadeh, Soheil and Qin, Zhipeng and Riaz, Amir and Tchelepi, Hamdi A.},
abstractNote = {We study the interfacial evolution of immiscible two-phase flow within a capillary tube in the partial wetting regime using direct numerical simulation. We investigate the flow patterns resulting from the displacement of a more viscous fluid by a less viscous one under a wide range of wettability conditions. We find that beyond a wettability dependent critical capillary number, a uniform displacement by a less viscous fluid can transition into a growing finger that eventually breaks up into discrete blobs by a series of pinch-off events for both wetting and non-wetting contact angles. This study validates previous experimental observations of pinch-off for wetting contact angles and extends those to non-wetting contact angles. We find that the blob length increases with the capillary number. We observe that the time between consecutive pinch-off events decreases with the capillary number and is greater for more wetting conditions in the displaced phase. Here, we further show that the blob separation distance as a function of the difference between the inlet velocity and the contact line speed collapses into two monotonically decreasing curves for wetting and non-wetting contact angles. For the phase separation in the form of pinch-off, this work provides a quantitative study of the emerging length and time scales and their dependence on the wettability conditions, capillary effects, and viscous forces.},
doi = {10.1103/physreve.102.023109},
journal = {Physical Review E},
number = 2,
volume = 102,
place = {United States},
year = {Wed Aug 12 00:00:00 EDT 2020},
month = {Wed Aug 12 00:00:00 EDT 2020}
}
Works referenced in this record:
Interfacial dynamics of two immiscible fluids in spatially periodic porous media: The role of substrate wettability
journal, July 2014
- Mondal, Pranab Kumar; DasGupta, Debabrata; Chakraborty, Suman
- Physical Review E, Vol. 90, Issue 1
Detection and remediation of soil and aquifer systems contaminated with petroleum products: an overview
journal, May 2000
- Nadim, Farhad; Hoag, George E.; Liu, Shili
- Journal of Petroleum Science and Engineering, Vol. 26, Issue 1-4
Wettability controls slow immiscible displacement through local interfacial instabilities
journal, November 2016
- Jung, Michael; Brinkmann, Martin; Seemann, Ralf
- Physical Review Fluids, Vol. 1, Issue 7
Liquid Conservation and Nonlocal Interface Dynamics in Imbibition
journal, August 1999
- Dubé, M.; Rost, M.; Elder, K. R.
- Physical Review Letters, Vol. 83, Issue 8
Dynamic contact angle measurements on superhydrophobic surfaces
journal, March 2015
- Kim, Jeong-Hyun; Kavehpour, H. Pirouz; Rothstein, Jonathan P.
- Physics of Fluids, Vol. 27, Issue 3
From the Cover: Cozzarelli Prize Winner: Gas production in the Barnett Shale obeys a simple scaling theory
journal, November 2013
- Patzek, T. W.; Male, F.; Marder, M.
- Proceedings of the National Academy of Sciences, Vol. 110, Issue 49
A viscous switch for liquid-liquid dewetting
journal, January 2020
- Edwards, A. M. J.; Ledesma-Aguilar, R.; Newton, M. I.
- Communications Physics, Vol. 3, Issue 1
Two-phase flow model of the cathode of PEM fuel cells using interdigitated flow fields
journal, October 2000
- He, Wensheng; Yi, Jung S.; Van Nguyen, Trung
- AIChE Journal, Vol. 46, Issue 10, p. 2053-2064
Cornered drops and rivulets
journal, April 2007
- Snoeijer, J. H.; Le Grand-Piteira, N.; Limat, L.
- Physics of Fluids, Vol. 19, Issue 4
Scaling Theory for Spontaneous Imbibition in Random Networks of Elongated Pores
journal, April 2013
- Sadjadi, Zeinab; Rieger, Heiko
- Physical Review Letters, Vol. 110, Issue 14
Wetting and spreading
journal, May 2009
- Bonn, Daniel; Eggers, Jens; Indekeu, Joseph
- Reviews of Modern Physics, Vol. 81, Issue 2
Averaged model for momentum and dispersion in hierarchical porous media
journal, August 2015
- Chabanon, Morgan; David, Bertrand; Goyeau, Benoît
- Physical Review E, Vol. 92, Issue 2
Theory of Wetting-Induced Fluid Entrainment by Advancing Contact Lines on Dry Surfaces
journal, June 2013
- Ledesma-Aguilar, R.; Hernández-Machado, A.; Pagonabarraga, I.
- Physical Review Letters, Vol. 110, Issue 26
Revisiting the Saffman-Taylor Experiment: Imbibition Patterns and Liquid-Entrainment Transitions
journal, July 2014
- Levaché, Bertrand; Bartolo, Denis
- Physical Review Letters, Vol. 113, Issue 4
An overview of chemical enhanced oil recovery: recent advances and prospects
journal, April 2019
- Gbadamosi, Afeez O.; Junin, Radzuan; Manan, Muhammad A.
- International Nano Letters, Vol. 9, Issue 3
Receding contact lines: From sliding drops to immersion lithography
journal, February 2011
- Winkels, K. G.; Peters, I. R.; Evangelista, F.
- The European Physical Journal Special Topics, Vol. 192, Issue 1
Restoring universality to the pinch-off of a bubble
journal, June 2019
- Pahlavan, Amir A.; Stone, Howard A.; McKinley, Gareth H.
- Proceedings of the National Academy of Sciences, Vol. 116, Issue 28
Pore-Scale Viscous Fingering in Porous Media
journal, October 1985
- Chen, Jing-Den; Wilkinson, David
- Physical Review Letters, Vol. 55, Issue 18
Effect of dynamic contact angle on capillary rise phenomena
journal, January 2000
- Siebold, Alain; Nardin, Michel; Schultz, Jacques
- Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 161, Issue 1
Wettability Alteration in High-Temperature and High-Salinity Carbonate Reservoirs
journal, April 2013
- Sharma, Gaurav; Mohanty, Kishore K.
- SPE Journal, Vol. 18, Issue 04
Prospects for Carbon Capture and Storage Technologies
journal, November 2004
- Anderson, Soren; Newell, Richard
- Annual Review of Environment and Resources, Vol. 29, Issue 1
Probing the intrinsically oil-wet surfaces of pores in North Sea chalk at subpore resolution
journal, March 2009
- Hassenkam, T.; Skovbjerg, L. L.; Stipp, S. L. S.
- Proceedings of the National Academy of Sciences, Vol. 106, Issue 15
Transition in a numerical model of contact line dynamics and forced dewetting
journal, December 2018
- Afkhami, S.; Buongiorno, J.; Guion, A.
- Journal of Computational Physics, Vol. 374
Wettability Stabilizes Fluid Invasion into Porous Media via Nonlocal, Cooperative Pore Filling
journal, October 2015
- Holtzman, Ran; Segre, Enrico
- Physical Review Letters, Vol. 115, Issue 16
Wettability alteration in carbonates
journal, April 2003
- Standnes, Dag C.; Austad, Tor
- Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 216, Issue 1-3
Inkjet Metrology II: Resolved Effects of Ejection Frequency, Fluidic Pressure, and Droplet Number on Reproducible Drop-on-Demand Dispensing
journal, August 2011
- Verkouteren, R. Michael; Verkouteren, Jennifer R.
- Langmuir, Vol. 27, Issue 15
Imbibition in disordered media
journal, March 2004
- Alava, Mikko; Dubé, Martin; Rost, Martin
- Advances in Physics, Vol. 53, Issue 2
An extended Bretherton model for long Taylor bubbles at moderate capillary numbers
journal, March 2014
- Klaseboer, Evert; Gupta, Raghvendra; Manica, Rogerio
- Physics of Fluids, Vol. 26, Issue 3
Hierarchical coarse-graining transform
journal, March 2009
- Pancaldi, Vera; King, Peter R.; Christensen, Kim
- Physical Review E, Vol. 79, Issue 3
Pore network as a model of porous media: Comparison between nonhierarchical and hierarchical organizations of pores
journal, October 2000
- Vočka, Radim; Dubois, Marc A.
- Physical Review E, Vol. 62, Issue 4
Soil porosity and water infiltration as influenced by tillage methods
journal, September 2006
- Lipiec, J.; Kuś, J.; Słowińska-Jurkiewicz, A.
- Soil and Tillage Research, Vol. 89, Issue 2
Volumetric displacement effects in Euler-Lagrange LES of particle-laden jet flows
journal, April 2019
- Pakseresht, Pedram; Apte, Sourabh V.
- International Journal of Multiphase Flow, Vol. 113
Behavior of Asphaltene Model Compounds at W/O Interfaces
journal, February 2010
- Nordgård, Erland L.; Sørland, Geir; Sjöblom, Johan
- Langmuir, Vol. 26, Issue 4
The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow
journal, July 1986
- Cox, R. G.
- Journal of Fluid Mechanics, Vol. 168, Issue -1
Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
journal, January 1965
- Harlow, Francis H.; Welch, J. Eddie
- Physics of Fluids, Vol. 8, Issue 12
Impact of GDL structure and wettability on water management in polymer electrolyte fuel cells
journal, January 2007
- Sinha, Puneet K.; Mukherjee, Partha P.; Wang, Chao-Yang
- Journal of Materials Chemistry, Vol. 17, Issue 30
Bottom-up model of adsorption and transport in multiscale porous media
journal, March 2015
- Boţan, Alexandru; Ulm, Franz-Josef; Pellenq, Roland J. -M.
- Physical Review E, Vol. 91, Issue 3
Moving Contact Lines: Scales, Regimes, and Dynamical Transitions
journal, January 2013
- Snoeijer, Jacco H.; Andreotti, Bruno
- Annual Review of Fluid Mechanics, Vol. 45, Issue 1
Traffic Jams and Intermittent Flows in Microfluidic Networks
journal, July 2010
- Champagne, Nicolas; Vasseur, Romain; Montourcy, Adrien
- Physical Review Letters, Vol. 105, Issue 4
Droplet breakup in microfluidic junctions of arbitrary angles
journal, September 2006
- Ménétrier-Deremble, Laure; Tabeling, Patrick
- Physical Review E, Vol. 74, Issue 3
Dynamic scaling of the interface in two-phase viscous flows in porous media
journal, January 1991
- Horvath, V. K.; Family, F.; Vicsek, T.
- Journal of Physics A: Mathematical and General, Vol. 24, Issue 1
Forced Wetting Transition and Bubble Pinch-Off in a Capillary Tube
journal, February 2018
- Zhao, Benzhong; Alizadeh Pahlavan, Amir; Cueto-Felgueroso, Luis
- Physical Review Letters, Vol. 120, Issue 8
Forecasting long-term gas production from shale
journal, November 2013
- Cueto-Felgueroso, L.; Juanes, R.
- Proceedings of the National Academy of Sciences, Vol. 110, Issue 49
Two-phase multiscale numerical framework for modeling thin films on curved solid surfaces in porous media
journal, July 2020
- Qin, Zhipeng; Esmaeilzadeh, Soheil; Riaz, Amir
- Journal of Computational Physics, Vol. 413
Numerical models and experiments on immiscible displacements in porous media
journal, April 1988
- Lenormand, Roland; Touboul, Eric; Zarcone, Cesar
- Journal of Fluid Mechanics, Vol. 189
Effective permeability of porous media containing branching channel networks
journal, February 2006
- Ronayne, Michael J.; Gorelick, Steven M.
- Physical Review E, Vol. 73, Issue 2
Phase Diagram of Fully Developed Drainage in Porous Media
journal, December 1997
- Yortsos, Y. C.; Xu, B.; Salin, D.
- Physical Review Letters, Vol. 79, Issue 23
Efficient Implementation of Weighted ENO Schemes
journal, June 1996
- Jiang, Guang-Shan; Shu, Chi-Wang
- Journal of Computational Physics, Vol. 126, Issue 1
Lifetime of carbon capture and storage as a climate-change mitigation technology
journal, March 2012
- Szulczewski, M. L.; MacMinn, C. W.; Herzog, H. J.
- Proceedings of the National Academy of Sciences, Vol. 109, Issue 14
A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow
journal, September 1994
- Sussman, Mark; Smereka, Peter; Osher, Stanley
- Journal of Computational Physics, Vol. 114, Issue 1
Existence of receding and advancing contact lines
journal, August 2005
- Eggers, Jens
- Physics of Fluids, Vol. 17, Issue 8
Modeling flow and transport in fracture networks using graphs
journal, March 2018
- Karra, S.; O'Malley, D.; Hyman, J. D.
- Physical Review E, Vol. 97, Issue 3
Transport and dispersion of active particles in periodic porous media
journal, April 2019
- Alonso-Matilla, Roberto; Chakrabarti, Brato; Saintillan, David
- Physical Review Fluids, Vol. 4, Issue 4
Forced dewetting in a capillary tube
journal, November 2018
- Gao, Peng; Liu, Ao; Feng, James J.
- Journal of Fluid Mechanics, Vol. 859
Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid
journal, January 1989
- Stone, H. A.; Leal, L. G.
- Journal of Fluid Mechanics, Vol. 198, Issue -1
Viscous Fingering in Porous Media
journal, January 1987
- Homsy, G. M.
- Annual Review of Fluid Mechanics, Vol. 19, Issue 1
Pore-scale network model for three-phase flow in mixed-wet porous media
journal, October 2002
- van Dijke, M. I. J.; Sorbie, K. S.
- Physical Review E, Vol. 66, Issue 4
Hydrodynamic Theory of Forced Dewetting
journal, August 2004
- Eggers, Jens
- Physical Review Letters, Vol. 93, Issue 9
Fundamental Models for Fuel Cell Engineering
journal, October 2004
- Wang, Chao-Yang
- Chemical Reviews, Vol. 104, Issue 10
Immiscible Foam for Enhancing Oil Recovery: Bulk and Porous Media Experiments
journal, January 2012
- Andrianov, A.; Farajzadeh, R.; Mahmoodi Nick, M.
- Industrial & Engineering Chemistry Research, Vol. 51, Issue 5
CO2 storage in geological media: Role, means, status and barriers to deployment
journal, April 2008
- Bachu, S.
- Progress in Energy and Combustion Science, Vol. 34, Issue 2
An experimental investigation of the dynamic contact angle in liquid-liquid systems
journal, October 1991
- Fermigier, Marc; Jenffer, Patrice
- Journal of Colloid and Interface Science, Vol. 146, Issue 1
A study of the advancing interface
journal, August 1983
- Hoffman, Richard L.
- Journal of Colloid and Interface Science, Vol. 94, Issue 2
Hydrodynamic model of steady movement of a solid/liquid/fluid contact line
journal, January 1971
- Huh, Chun; Scriven, L. E.
- Journal of Colloid and Interface Science, Vol. 35, Issue 1
Analysis and applications of the Voronoi Implicit Interface Method
journal, July 2012
- Saye, R. I.; Sethian, J. A.
- Journal of Computational Physics, Vol. 231, Issue 18
A level-set approach for simulations of flows with multiple moving contact lines with hysteresis
journal, August 2005
- Spelt, Peter D. M.
- Journal of Computational Physics, Vol. 207, Issue 2
Carbon Dioxide Capture and Storage
journal, April 2008
- Benson, Sally M.; Orr, Franklin M.
- MRS Bulletin, Vol. 33, Issue 4
Rapid carbon mineralization for permanent disposal of anthropogenic carbon dioxide emissions
journal, June 2016
- Matter, J. M.; Stute, M.; Snaebjornsdottir, S. O.
- Science, Vol. 352, Issue 6291
Carbon dioxide sequestration in saline formations: Part 2—Review of multiphase flow modeling
journal, December 2014
- Cinar, Yildiray; Riaz, Amir
- Journal of Petroleum Science and Engineering, Vol. 124
Pore-scale study of water salinity effect on thin-film stability for a moving oil droplet
journal, June 2020
- Abu-Al-Saud, Moataz O.; Esmaeilzadeh, Soheil; Riaz, Amir
- Journal of Colloid and Interface Science, Vol. 569
Wetting Heterogeneities in Porous Media Control Flow Dissipation
journal, September 2014
- Murison, Julie; Semin, Benoît; Baret, Jean-Christophe
- Physical Review Applied, Vol. 2, Issue 3
Carbonated water injection: an efficient EOR approach. A review of fundamentals and prospects
journal, July 2019
- Bisweswar, Ghosh; Al-Hamairi, Abdullah; Jin, Soo
- Journal of Petroleum Exploration and Production Technology, Vol. 10, Issue 2
Upscaling and reversibility of Taylor dispersion in heterogeneous porous media
journal, April 2005
- Berentsen, C. W. J.; Verlaan, M. L.; van Kruijsdijk, C. P. J. W.
- Physical Review E, Vol. 71, Issue 4
Archie’s Law in Microsystems
journal, June 2012
- Kozlov, B.; Schneider, M. H.; Montaron, B.
- Transport in Porous Media, Vol. 95, Issue 1
The Voronoi Implicit Interface Method for computing multiphase physics
journal, November 2011
- Saye, R. I.; Sethian, J. A.
- Proceedings of the National Academy of Sciences, Vol. 108, Issue 49
A Numerical Method for Solving Incompressible Viscous Flow Problems
journal, August 1997
- Chorin, Alexandre Joel
- Journal of Computational Physics, Vol. 135, Issue 2
The motion of long bubbles in tubes
journal, March 1961
- Bretherton, F. P.
- Journal of Fluid Mechanics, Vol. 10, Issue 02
Breakup of drops in a microfluidic T junction
journal, February 2009
- Leshansky, A. M.; Pismen, L. M.
- Physics of Fluids, Vol. 21, Issue 2
Topology preserving advection of implicit interfaces on Cartesian grids
journal, June 2015
- Qin, Zhipeng; Delaney, Keegan; Riaz, Amir
- Journal of Computational Physics, Vol. 290
Multiscale modeling of compartmentalized reservoirs using a hybrid clustering-based non-local approach
journal, January 2020
- Esmaeilzadeh, Soheil; Salehi, Amir; Hetz, Gill
- Journal of Petroleum Science and Engineering, Vol. 184
A locally second order symmetric method for discontinuous solution of Poisson's equation on uniform cartesian grids
journal, February 2020
- Qin, Zhipeng; Riaz, Amir; Balaras, Elias
- Computers & Fluids, Vol. 198
Nonlocal Interface Dynamics and Pattern Formation in Gravity-Driven Unsaturated Flow through Porous Media
journal, December 2008
- Cueto-Felgueroso, Luis; Juanes, Ruben
- Physical Review Letters, Vol. 101, Issue 24
Quick deposition of a fluid on the wall of a tube
journal, January 2000
- Aussillous, Pascale; Quéré, David
- Physics of Fluids, Vol. 12, Issue 10
Dynamics of Drop Deformation and Breakup in Viscous Fluids
journal, January 1994
- Stone, H. A.
- Annual Review of Fluid Mechanics, Vol. 26, Issue 1
Stabilizing Fluid-Fluid Displacements in Porous Media Through Wettability Alteration
journal, May 2015
- Trojer, Mathias; Szulczewski, Michael L.; Juanes, Ruben
- Physical Review Applied, Vol. 3, Issue 5
Wettability control on multiphase flow in patterned microfluidics
journal, August 2016
- Zhao, Benzhong; MacMinn, Christopher W.; Juanes, Ruben
- Proceedings of the National Academy of Sciences, Vol. 113, Issue 37
Use of Carbon Dioxide in Enhanced Oil Recovery
journal, May 1984
- Orr, F. M.; Taber, J. J.
- Science, Vol. 224, Issue 4649
Deposition of a viscous fluid on the wall of a tube
journal, March 1961
- Taylor, G. I.
- Journal of Fluid Mechanics, Vol. 10, Issue 02
Effect of wettability alteration on enhanced heavy oil recovery by alkaline flooding
journal, January 2016
- Gong, Houjian; Li, Yajun; Dong, Mingzhe
- Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 488
Forced Imbibition in Porous Media: A Fourfold Scenario
journal, November 2017
- Odier, Céleste; Levaché, Bertrand; Santanach-Carreras, Enric
- Physical Review Letters, Vol. 119, Issue 20
Influence of Fluid Physical Properties on Ink-Jet Printability
journal, March 2009
- Jang, Daehwan; Kim, Dongjo; Moon, Jooho
- Langmuir, Vol. 25, Issue 5, p. 2629-2635
An experimental study of transient effects in the breakup of viscous drops
journal, December 1986
- Stone, H. A.; Bentley, B. J.; Leal, L. G.
- Journal of Fluid Mechanics, Vol. 173
A mesh-dependent model for applying dynamic contact angles to VOF simulations
journal, August 2009
- Afkhami, S.; Zaleski, S.; Bussmann, M.
- Journal of Computational Physics, Vol. 228, Issue 15