Email this article 
The Effects of Surfactant on the Evolution of a Thin Film under a Moving Liquid Drop
Abstract
The effect of surfactant on the thickness of a thin film bounded by a solid surface and a moving liquid drop was investigated. We proposed a model so that parameters from the liquid drop can be stated in a parameter that acts as normal pressure to the thin film. Using the lubrication approximation, the model was reduced to a set of nonlinear partial differential equations in terms of the film thickness and surfactant concentration. Since we were interested in the role of the surfactant in lifting up the drop, we assumed that the density of the drop is higher than the density of the thin film. Numerically, the results show that the presence of the surfactant tends to delay the decrease of the film thickness insignificantly. However, when the surfactant was added into the system, it tends to significantly increase the film thickness for a certain range value of the normal pressure.
Keywords
Full Text:
PDFReferences
Chester, A. K., & Bazhlekov, I. B. (2000). Effect of insoluble surfactants on drainage and rupture of a film between drops interacting under a constant force. Journal of Colloid and Interface Science, 230(2), 229–243.
Craster, R. V., & Matar, O. K. (2009). Dynamics and stability of thin liquid films. Review of Modern Physics, 81(3), 1131–1198.
Danov, K. D., Alleborn, N., Raszillier, H., & Durst, F. (1998). The stability of evaporating thin liquid films in the presence of surfactant: Lubrication approximation and linear analysis. Phys. Fluids, 10(1), 131-143.
Danov, K. D., Valkovska, D. S., & Ivanov, I. B. (1999). Effect of Surfactants on the Film Drainage. Journal of Colloid and Interface Science, 211(2), 291–303.
De Wit, A., Gallez, D., & Christov, C. I. (1994). Nonlinear evolution equations for thin liquid films with insoluble surfactants. Phys. Fluids, 6(10), 3256– 3266.
Duineveld, P. C. (1996). The Influence of Electric Dipoles on Bubble Coalescence. Journal of Colloid and Interface Science, 182(2), 374–380.
Fisher, L. S., & Golovin, A. A. (2005). Nonlinear stability analysis of a two-layer thin liquid film: Dewetting and autophobic behaviour. Journal of Colloid and Interface Science, 291(2), 515–528.
Griggs, A. J., Zinchenko, A. Z., & Davis, R. H. (2009). Creeping motion and pending breakup of drops and bubbles near an inclined wall. Physics of Fluids, 21(9), 1-14.
Laaraba, A., & Khechekhouche, A. (2018). Numerical Simulation Of Natural Convection In The Air Gap Of A Vertical Flat Plat Thermal Solar Collector With Partitions Attached To Its Glazing. International Journal of Science and Technology, 3(2), 95-104.
Lai, M. C., Tseng, Y. H., & Huang, H. (2010). Numerical Simulation of Moving Contact Lines with Surfactants by Immersed Boundary Method, Commun. Comput. Phys., 8(4), 735--757.
Liu, L., Li, X., Tong, L., & Liu, Y. (2014). Effect Of Surfactant Additive On Vertical Two-Phase Flow, Journal Of Petroleum Science And Engineering, 115, 1-10. Myers. (1998). Thin films with high surface tension. SIAM Rev, 40(3), 441–462.
Nurprasetio, I. P., Budiman, B. A., & Triawan, F. (2017). Failure Investigation Of Plastic Shredding Machine’s Flange Coupling Based On Mechanical Analysis. International Journal of Science and Technology, 2(2), 124-133.
O’Brien, S. B. G., & Schwartz, L. W. (2002). Theory and Modeling of Thin Film Flows. Encyclopedia of Surface and Colloid Science. Marcel Dekker, Inc., 5283–5295.
Oron, A., Davis, S., & Bankoff, S. (1997) Long-scale evolution of thin liquid films. Review of Modern Physics. 69(3), 931-980.
Pereira, A., Trevelyan, P. M. J., Thiele, U., & Kalliadasis, S. (2007). Thin Films in the Presence of Chemical Reactions. Fluid Dynamics & Materials Processing, 3(4), 303-316.
Pozkiridis, C. (1990). The deformation of a liquid drop moving normal to a plane wall. J . Fluid Mech., 215, 331-363.
Rubinstein, B., & Leshansky, A. (2000). Dynamics of thin liquid films with nonsoluble surfactants: Weakly nonlinear analysis. Langmuir, 16(5), 2049–2051.
Schwartz, L., Cairncross, R., & Weidner, D. (1996). Anomalous behaviour during leveling of thin coating layers with surfactants. Phys. Fluids, 8(7), 1693–1695.
Schwartz, L.W., Weidner, D. E., & Eley, R. R. (1995). An analysis of the effect of surfactant on the leveling behavior of a thin liquid coating layer. Langmuir, 11(10), 3690–3693.
Sharma, A., & Ruckenstein, E. (1986). An analytical nonlinear theory of thin film rupture and its application to wetting films. Journal of Colloid and Interface Science, 113(2), 3256–3266.
Sumarji, Ridha, F., Dwilaksana, D., Syuhri, S., & Raihaan. (2019). The Effect of Particle Dispersion due to Mixing Speed on Spent Coffee Ground Composites. Indonesian Journal of Science and Technology, 4(2), 188-195.
Yiantsios, S., & Higgins, B. (1989). Rayleigh-taylor instability in thin viscous films. Phys. Fluids, 147(2), 1484–1501.
Yulianti, L., Gunawan, A. Y., Soewono, E., & Mucharam, L. (2013). Effects of an Insoluble Surfactant on the Deformation of a Falling Drop Towards a Solid Surface. Journal of Computer Science & Computational Mathematics, 3(1), 7-11.
Zhang, D. L., Shunhua L., Maura, P., Miller, C. A., & Hirasaki, G. J. (2006). Wettability alteration and spontaneous imbibition in oil-wet carbonate formations. Journal of Petroleum Science and Engineering, 52(1-4), 213–226.
DOI: https://doi.org/10.17509/ijost.v5i1.23100
Refbacks
- There are currently no refbacks.
Copyright (c) 2020 Indonesian Journal of Science and Technology
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Indonesian Journal of Science and Technology is published by UPI.
View My Stats