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Mechanisms of dynamic wetting failure in the presence of soluble surfactants

  • Chen-Yu Liu (a1), Marcio S. Carvalho (a2) and Satish Kumar (a1)
Abstract

A hydrodynamic model and flow visualization experiments are used to understand the mechanisms through which soluble surfactants can influence the onset of dynamic wetting failure. In the model, a Newtonian liquid displaces air in a rectangular channel in the absence of inertia. A Navier-slip boundary condition and constant contact angle are used to describe the dynamic contact line, and surfactants are allowed to adsorb to the interface and moving channel wall (substrate). The Galerkin finite element method is used to calculate steady states and identify the critical capillary number $Ca^{crit}$ at which wetting failure occurs. It is found that surfactant solubility weakens the influence of Marangoni stresses, which tend to promote the onset of wetting failure. Adsorption of surfactants to the substrate can delay the onset of wetting failure due to the emergence of Marangoni stresses that thicken the air film near the dynamic contact line. The experiments indicate that $Ca^{crit}$ increases with surfactant concentration. For the more viscous solutions used, this behaviour can largely be explained by accounting for changes to the mean surface tension and static contact angle produced by surfactants. For the lowest-viscosity solution used, comparison between the model predictions and experimental observations suggests that other surfactant-induced phenomena such as Marangoni stresses may play a more important role.

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Corresponding author
Email addresses for correspondence: kumar030@umn.edu, msc@puc-rio.br
References
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Alvarez, N. J., Vogus, D. R., Walker, L. M. & Anna, S. L. 2012 Using bulk convection in a microtensiometer to approach kinetic-limited surfactant dynamics at fluid–fluid interfaces. J. Colloid Interface Sci. 372 (1), 183191.
Beacham, D. R., Matar, O. K. & Craster, R. V. 2009 Surfactant-enhanced rapid spreading of drops on solid surfaces. Langmuir 25 (24), 1417414181.
Benkreira, H. 2004 The effect of substrate roughness on air entrainment in dip coating. Chem. Engng Sci. 59 (13), 27452751.
Benkreira, H. & Ikin, J. B. 2010 Dynamic wetting and gas viscosity effects. Chem. Engng Sci. 65 (5), 17901796.
Benkreira, H. & Khan, M. I. 2008 Air entrainment in dip coating under reduced air pressures. Chem. Engng Sci. 63 (2), 448459.
Bera, B., Duits, M. H. G., Cohen Stuart, M. A., van den Ende, D. & Mugele, F. 2016 Surfactant induced autophobing. Soft Matt. 12, 45624571.
Blake, T. D.1998 Coating processes. US patent 5792515.
Blake, T. D. 2006 The physics of moving wetting lines. J. Colloid Interface Sci. 299 (1), 113.
Blake, T. D., Fernandez-Toledano, J.-C., Doyen, G. & De Coninck, J. 2015 Forced wetting and hydrodynamic assist. Phys. Fluids 27 (11), 112101.
Bose, A. 1993 Wetting by solutions. In Wettability (ed. Berg, J. C.), pp. 149181. Marcel Dekker.
Burley, R. & Jolly, R. P. S. 1984 Entrainment of air into liquids by a high speed continuous solid surface. Chem. Engng Sci. 39 (9), 13571372.
Burley, R. & Kennedy, B. S. 1976 An experimental study of air entrainment at a solid/liquid/gas interface. Chem. Engng Sci. 31, 901911.
Campana, D. M., Di Paolo, J. & Saita, F. A. 2004 A 2-D model of Rayleigh instability in capillary tubes – surfactant effects. Intl J. Multiphase Flow 30, 431454.
Campana, D. M. & Saita, F. A. 2006 Numerical analysis of the Rayleigh instability in capillary tubes: the influence of surfactant solubility. Phys. Fluids 18 (2), 022104.
Campana, D. M., Ubal, S., Giavedoni, M. D. & Saita, F. A. 2011 A deeper insight into the dip coating process in the presence of insoluble surfactants: a numerical analysis. Phys. Fluids 23 (5), 052102.
Cantu, L., Corti, M., Degiorgio, V., Hoffmann, H. & Ulbricht, W. 1987 Nonionic micelles in mixed water–glycerol solvent. J. Colloid Interface Sci. 116 (2), 384389.
Chan, T. S., Srivastava, S., Marchand, A., Andreotti, B., Biferale, L., Toschi, F. & Snoeijer, J. H. 2013 Hydrodynamics of air entrainment by moving contact lines. Phys. Fluids 25 (7), 074105.
Chang, C.-H. & Franses, E. I. 1992 Modified Langmuir–Hinshelwood kinetics for dynamic adsorption of surfactants at the air/water interface. Colloids Surf. 69, 189201.
Chang, C.-H. & Franses, E. I. 1995 Adsorption dynamics of surfactants at the air/water interface: a critical review of mathematical models, data, and mechanisms. Colloids Surf., A 100, 145.
Cheikh, C. & Koper, G. 2003 Stick–slip transition at the nanometer scale. Phys. Rev. Lett. 91 (15), 156102.
Cohu, O. & Benkreira, H. 1998 Entrainment of air by a solid surface plunging into a non-Newtonian liquid. AIChE J. 44 (11), 23602368.
Craster, R. V. & Matar, O. K. 2009 Dynamics and stability of thin liquid films. Rev. Mod. Phys. 81 (3), 11311198.
Deryagin, B. M. & Levi, S. M. 1964 Film Coating Theory: Physical Chemistry of Coating. Focal Press.
Dussan, V. E. B. 1976 The moving contact line: the slip boundary condition. J. Fluid Mech. 77 (4), 665684.
Eggers, J. 2005 Existence of receding and advancing contact lines. Phys. Fluids 17 (8), 082106.
Fainerman, V. B., Makievski, A. V. & Miller, R. 1993 The measurement of dynamic surface tensions of highly viscous liquids by the maximum bubble pressure method. Colloids Surf. A 75 (6), 229235.
Fallest, D. W., Lichtenberger, A. M., Fox, C. J. & Daniels, K. E. 2010 Fluorescent visualization of a spreading surfactant. New J. Phys. 12, 073029.
Frank, B. & Garoff, S. 1995 Origins of the complex motion of advancing surfactant solutions. Langmuir 11 (18), 8793.
Gutoff, E. B. & Kendrick, C. E. 1982 Dynamic contact angles. AlChE J. 28 (3), 459466.
Henry, C. L., Neto, C., Evans, D. R., Biggs, S. & Craig, V. S. J. 2004 The effect of surfactant adsorption on liquid boundary slippage. Physica A 339 (1), 6065.
Huh, C. & Scriven, L. E. 1971 Hydrodynamic model of steady movement of a solid/liquid/fluid contact line. J. Colloid Interface Sci. 35 (1), 85101.
Jacqmin, D. 2004 Onset of wetting failure in liquid–liquid systems. J. Fluid Mech. 517, 209228.
Jensen, O. E. & Grotberg, J. B. 1993 The spreading of heat or soluble surfactant along a thin liquid film. Phys. Fluids A 5 (1), 5868.
Karapetsas, G., Craster, R. V. & Matar, O. K. 2011 On surfactant-enhanced spreading and superspreading of liquid drops on solid surfaces. J. Fluid Mech. 670, 537.
Kistler, S. F. 1993 Hydrodynamics of wetting. In Wettability (ed. Berg, J. C.), pp. 311429. Marcel Dekker.
Kumar, N., Maldarelli, C. & Couzis, A. 2006 An infrared spectroscopy study of the hydrogen bonding and water restructuring as a trisiloxane superspreading surfactant adsorbs onto an aqueous-hydrophobic surface. Colloids Surf. A 277, 98106.
Kunert, C. & Harting, J. 2008 On the effect of surfactant adsorption and viscosity change on apparent slip in hydrophobic microchannels. Prog. Comput. Fluid Dyn. 8 (1–4), 197205.
Liu, C.-Y.2017 Onset of dynamic wetting failure in the presence of surfactants. PhD thesis, University of Minnesota.
Liu, C.-Y., Vandre, E., Carvalho, M. S. & Kumar, S. 2016a Dynamic wetting failure and hydrodynamic assist in curtain coating. J. Fluid Mech. 808, 290315.
Liu, C.-Y., Vandre, E., Carvalho, M. S. & Kumar, S. 2016b Dynamic wetting failure in surfactant solutions. J. Fluid Mech. 789, 285309.
Lowndes, J. 1980 The numerical simulation of the steady movement of a fluid meniscus in a capillary tube. J. Fluid Mech. 101 (3), 631646.
Marston, J. O., Hawkins, V., Decent, S. P. & Simmons, M. J. H. 2009 Influence of surfactant upon air entrainment hysteresis in curtain coating. Exp. Fluids 46, 549558.
Matar, O. K. & Craster, R. V. 2009 Dynamics and stability of thin liquid films. Rev. Mod. Phys. 81 (3), 11311198.
Miyamoto, K. & Katagiri, Y. 1997 Curtain coating. In Liquid Film Coating (ed. Kistler, S. & Schweizer, P. M.), pp. 463494. Chapman & Hall.
Ramé, E. 2001 The spreading of surfactant-laden liquids with surfactant transfer through the contact line. J. Fluid Mech. 440, 205234.
Ruiz, C. C., Diaz-Lopez, L. & Aguiar, J. 2008 Micellization of sodium dodecyl sulfate in glycerol aqueous mixtures. J. Dispersion Sci. Technol. 29 (2), 266273.
Sbragaglia, M., Sugiyama, K. & Biferale, L. 2008 Wetting failure and contact line dynamics in a Couette flow. J. Fluid Mech. 614, 471493.
Schunk, P. R. & Scriven, L. E. 1997 Surfactant effects in coating processes. In Liquid Film Coating (ed. Kistler, S. & Schweizer, P. M.), pp. 495536. Chapman & Hall.
Shikhmurzaev, Y. D. 1997 Moving contact lines in liquid/liquid/solid systems. J. Fluid Mech. 334, 211249.
Sibley, D. N., Nold, A. & Kalliadasis, S. 2015 The asymptotics of the moving contact line: cracking an old nut. J. Fluid Mech. 764, 445462.
Snoeijer, J. H. & Andreotti, B. 2013 Moving contact lines: scales, regimes, and dynamical transitions. Annu. Rev. Fluid Mech. 45, 269292.
Sochi, T. 2011 Slip at fluid–solid interface. Polym. Rev. 51 (4), 309340.
Sprittles, J. E. 2015 Air entrainment in dynamic wetting: Knudsen effects and the influence of ambient air pressure. J. Fluid Mech. 769, 444481.
Sprittles, J. E. 2017 Kinetic effects in dynamic wetting. Phys. Rev. Lett. 118 (11), 114502.
Staggemeier, B. A., Collier, T. O., Prazen, B. J. & Synovec, R. E. 2005 Effect of solution viscosity on dynamic surface tension detection. Anal. Chim. Acta 534, 7987.
Sui, Y., Ding, H. & Spelt, P. D. 2014 Numerical simulations of flows with moving contact lines. Annu. Rev. Fluid Mech. 46, 97119.
Swanson, E. R., Strickland, S. L., Shearer, M. & Daniels, K. E. 2015 Surfactant spreading on a thin liquid film: reconciling models and experiments. J. Engng Maths 94, 6379.
Takisawa, N., Thomason, M., Bloor, D. M. & Wyn-Jones, E. 1993 Ultrasonic relaxation and electrochemical studies of the micellization of sodium decyl sulfate and decyltrimethylammonium bromide in glycerol/water mixtures. J. Colloid Interface Sci. 157 (1), 7781.
Tricot, Y.-M. 1997 Surfactants: static and dynamic surface tension. In Liquid Film Coating (ed. Kistler, S. & Schweizer, P. M.), pp. 99136. Chapman & Hall.
Vandre, E. A.2013 Onset of dynamic wetting failure: the mechanics of high-speed fluid displacement. PhD thesis, University of Minnesota.
Vandre, E., Carvalho, M. S. & Kumar, S. 2012 Delaying the onset of dynamic wetting failure through meniscus confinement. J. Fluid Mech. 707, 496520.
Vandre, E., Carvalho, M. S. & Kumar, S. 2013 On the mechanism of wetting failure during fluid displacement along a moving substrate. Phys. Fluids 25 (10), 102103.
Vandre, E., Carvalho, M. S. & Kumar, S. 2014 Characteristics of air entrainment during dynamic wetting failure along a planar substrate. J. Fluid Mech. 747, 119140.
Weinstein, S. J. & Ruschak, K. J. 2004 Coating flows. Annu. Rev. Fluid Mech. 36 (1), 2953.
Zhu, Y. & Granick, S. 2002 No-slip boundary condition switches to partial slip when fluid contains surfactant. Langmuir 18 (26), 1005810063.
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