Stationary contact line formation and particle deposition in dip coating

References

• M. Ghosh, F. Fan, and K. J. Stebe, Spontaneous Pattern Formation by Dip Coating of Colloidal Suspensions on Homogeneous Surfaces, Langmuir, vol. 23, pp. 2180–2183, 2007.
   PubMed Web of Science ®Google Scholar
• S. Watanabe, K. Inukai, S. Mizuta, and M. T. Miyahara, Mechanism for Stripe Pattern on Hydrophilic Surfaces by Using Convective Self-Assembly, Langmuir, vol. 25, pp. 7287–7295, 2009.
   PubMed Web of Science ®Google Scholar
• M. Berre, M. Chen, Y. Chen, and D. Baigl, From Convective Assembly to Landau–Levich Deposition of Multilayered Phospholipid Films of Controlled Thickness, Langmuir, vol. 25, pp. 2554–2557, 2009.
   PubMed Web of Science ®Google Scholar
• M. Faustini, B. Louis, A. Albouy, M. Kummel, and D. Grosso, Preparation of Sol-Gel Films by Dip Coating in Extreme Conditions, J. Phys. Chem. C, vol. 114, pp. 7637–7645, 2010.
   Web of Science ®Google Scholar
• G. Jing, H. Bodiguel, F. Doumenc, E. Sultan, and B. Guerrier, Drying of Colloidal Suspensions and Polymer Solutions Near the Contact Line: Deposit Thickness at Low Capillary Number, Langmuir, vol. 26, pp. 2288–2293, 2010.
   PubMed Web of Science ®Google Scholar
• G. Berteloot, A. Daerr, F. Lequeux, and L. Limat, Dip Coating with Colloids and Evaporation, Chem. Eng. Process., vol. 68, pp. 69–73, 2013.
   Web of Science ®Google Scholar
• L. D. Landau and B. G. Levich, Dragging of a Liquid by a Moving Plate, Acta Physicochim. URSS, vol. 17, pp. 42–54, 1942.
   Google Scholar
• D. A. White and J. A. Tallmadge, Theory of Drag out of Liquids on Flat Plates, Chem. Eng. Sci., vol. 20, pp. 33–37, 1965.
   Web of Science ®Google Scholar
• J. H. Snoeijer, J. Ziegler, B. Andreotti, M. Fermigier, and J. Eggers, Thick Films of Viscous Fluid Coating a Plate Withdrawn from a Liquid Reservoir, Phys. Rev. Lett., vol. 100, pp. 244502, 2008.
   PubMed Web of Science ®Google Scholar
• M. Maleki, M. Reyssat, F. Restagno, D. Quere, and C. Clanet, Landau–Levich Menisci, J. Colloid. Interf. Sci., vol. 354, pp. 359–363, 2011.
   PubMed Web of Science ®Google Scholar
• T. Yamamoto, N. Nojima, and N. Mori, Numerical Analysis of Flow Behavior in Meniscus Region of Viscoelastic Dip Coating Flows, J. Text. Eng., vol. 51, pp. 21–28, 2005.
   Google Scholar
• D. M. Carvalho, J. L. Maciel Jr, L. P. Ravaro, R. E. Garcia, V. G. Ferreira, and L. V. Scalvi, Numerical Simulation of the Liquid Phase in SnO2 Thin Film Deposition by Sol-Gel-Dip-Coating, J. Sol-Gel Sci. Technol., vol. 55, pp. 385–393, 2010.
   Web of Science ®Google Scholar
• A. Filali, L. Khezzar, and E. Mitsoulis, Some Experiences with the Numerical Simulation of Newtonian and Bingham Fluids in Dip Coating, Comput. Fluids, vol. 82, pp. 110–121, 2013.
   Web of Science ®Google Scholar
• O. E. Ruiz and W. Z. Black, Evaporation of Water Droplets Placed on a Heated Horizontal Surface, J. Heat Trans., vol. 124, pp. 854–863, 2002.
   Web of Science ®Google Scholar
• K. L. Maki and S. Kumar, Fast Evaporation of Spreading Droplets of Colloidal Suspensions, Langmuir, vol. 27, pp. 11347–11363, 2011.
   PubMed Web of Science ®Google Scholar
• H. Hu and R. G. Larson, Analysis of the Microfluid Flow in an Evaporating Sessile Droplet, Langmuir, vol. 21, pp. 3963–3971, 2005.
   PubMed Web of Science ®Google Scholar
• F. Girard, M. Antoni, S. Faure, and A. Steinchen, Evaporation and Marangoni Driven Convection in Small Heated Water Droplets, Langmuir, vol. 22, pp. 11085–11091, 2006.
   PubMed Web of Science ®Google Scholar
• E. Widjaja and M. T. Harris, Numerical Study of Vapor Phase-Diffusion Driven Sessile Drop Evaporation, Comput. Chem. Eng., vol. 32, pp. 2169–2178, 2008.
   Web of Science ®Google Scholar
• E. Widjaja and M. T. Harris, Particle Deposition Study during Sessile Drop Evaporation, AICHE J., vol. 54, pp. 2250–2260, 2008.
   Web of Science ®Google Scholar
• R. Bhardwaj, X. Fang, and D. Attinger, Pattern Formation during the Evaporation of a Colloidal Nanoliter Drop: A Numerical and Experimental Study, New J. Phys., vol. 11, pp. 075020, 2009.
   Web of Science ®Google Scholar
• R. Bhardwaj, X. Fang, P. Somasundaran, and D. Attinger, Self-Assembly of Colloidal Particles from Evaporating Droplets: Role of DLVO Interactions and Proposition of a Phase Diagram, Langmuir, vol. 26, pp. 7833–7842, 2010.
   PubMed Web of Science ®Google Scholar
• F. Doumenc and B. Guerrier, Drying a Solution in a Meniscus: A Model Coupling the Liquid and the Gas Phases, Langmuir, vol. 26, pp. 13959–13967, 2010.
   PubMed Web of Science ®Google Scholar
• Y. Y. Tarasevich, I. V. Vodolazskaya, and O. P. Bondarenko, Modeling of Spatial-Temporal Distribution of the Components in the Drying Sessile Droplet of Biological Fluid, Colloid Surd. A - Physicochem. Eng. Asp., vol. 432, pp. 99–103, 2013.
   Web of Science ®Google Scholar
• A. M. Briones, J. S. Ervin, S. A. Putnam, L. W. Byrd, and J. G. Jones, A Novel Kinetically-Controlled De-Pinning Model for Evaporating Water Microdroplets, Int. Commun. Heat Mass Transf., vol. 39, pp. 1311–1319, 2012.
   Web of Science ®Google Scholar
• S. Tanguy, T. Menard, and A. Berlemont, A Level Set Method for Vaporizing Two-Phase Flows, J. Comput. Phys., vol. 221, pp. 837–853, 2007.
   Web of Science ®Google Scholar
• G. Son, Numerical Simulation of Microdroplet Impact and Evaporation on a Solid Surface, J. Heat Transf., vol. 134, p. 101502, 2012.
   Web of Science ®Google Scholar
• H. Ahn and G. Son, Numerical Simulation of Liquid Film Evaporation in Circular and Square Microcavities, Numer. Heat Transf. A - Appl., vol. 67, pp. 934–951, 2015.
   Web of Science ®Google Scholar
• G. Son, A Sharp-Interface Level-Set Method for Analysis of Marangoni Effect on Microdroplet Evaporation, Int. Commun. Heat Mass Transf., vol. 58, pp. 156–165, 2014.
   Web of Science ®Google Scholar
• J. Lee and G. Son, A Level-set Method for Analysis of Particle Motion in an Evaporating Microdroplet, Numer. Heat Trans. B-Fundam., vol. 67, pp. 25–46, 2015.
   Web of Science ®Google Scholar
• G. Son, Numerical Simulation of Particle-Laden Droplet Evaporation with the Marangoni Effect, Eur. Phys. J.-Spec. Top., vol. 224, pp. 401–413, 2015.
   Web of Science ®Google Scholar
• J. Lee and G. Son, Numerical Simulation of Liquid Film Formation and Evaporation in Dip Coating, Int. Commun. Heat Mass Transf., vol. 68, pp. 220–227, 2015.
   Web of Science ®Google Scholar
• D. C. Prieve and E. Ruckenstein, Rates of Deposition of Brownian Particles Calculated by Lumping Interation Forces into a Boundary Condition, J. Colloid. Interf. Sci., vol. 57, pp. 547–550, 1976.
   Web of Science ®Google Scholar
• L. Daubersies and J. B. Salmon, Evaporation of Solutions and Colloidal Dispersions in Confined Droplets, Phys. Rev. E, vol. 84, pp. 031406, 2011.
   Web of Science ®Google Scholar
• S. S. L. Peppin, J. A. W. Elliott, and M. G. Worster, Solidification of Colloidal Suspensions, J. Fluid Mech., vol. 554, pp. 147–166, 2006.
   Web of Science ®Google Scholar
• J. Fukai, Y. Shiiba, T. Yamamoto, O. Miyatake, O. Poulikakos, C. M. Megaridis, and Z. Zhao, Wetting Effects on the Spreading of a Liquid Droplet Colliding with a Flat Surface, Phys. Fluids, vol. 7, pp. 236–247, 1995.
   Web of Science ®Google Scholar
• T. F. Irvine and P. E. Liley, Steam and Gas Tables with Computer Equations, Acad. Press, NY, 1994.
   Google Scholar