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Sequential deposition of overlapping droplets to form a liquid line

Published online by Cambridge University Press:  21 November 2014

Alice B. Thompson*
Affiliation:
School of Mathematics and Manchester Centre for Nonlinear Dynamics, University of Manchester, Oxford Road, Manchester M13 9PL, UK
Carl R. Tipton
Affiliation:
School of Mathematics and Manchester Centre for Nonlinear Dynamics, University of Manchester, Oxford Road, Manchester M13 9PL, UK
Anne Juel
Affiliation:
School of Mathematics and Manchester Centre for Nonlinear Dynamics, University of Manchester, Oxford Road, Manchester M13 9PL, UK
Andrew L. Hazel
Affiliation:
School of Mathematics and Manchester Centre for Nonlinear Dynamics, University of Manchester, Oxford Road, Manchester M13 9PL, UK
Mark Dowling
Affiliation:
Cambridge Display Technology Limited, Technology Development Centre, Unit 12, Cardinal Business Park, Godmanchester, Cambridgeshire PE29 2XG, UK
*
Present address: Department of Mathematics, Imperial College London, London SW7 2AZ, UK. Email address for correspondence: [email protected]

Abstract

Microdroplet deposition is a technology that spans applications from tissue engineering to microelectronics. Our new high-speed imaging measurements reveal how sequential linear deposition of overlapping droplets on flat uniform substrates leads to striking non-uniform morphologies for moderate contact angles. We develop a simple physical model, which for the first time captures the post-impact dynamics drop-by-drop: surface-tension drives liquid redistribution, contact-angle hysteresis underlies initial non-uniformity, while viscous effects cause subsequent periodic variations.

Type
Papers
Copyright
© 2014 Cambridge University Press 

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References

Andrieu, C., Beysens, D. A., Nikolayev, V. S. & Pomeau, Y. 2002 Coalescence of sessile drops. J. Fluid Mech. 453, 427438.CrossRefGoogle Scholar
Bonn, D., Eggers, J., Indekeu, J., Meunier, J. & Rolley, E. 2009 Wetting and spreading. Rev. Mod. Phys. 81, 739805.Google Scholar
Dalili, A., Chandra, S., Mostaghimi, J., Fan, H. T. C. & Simmer, J. C. 2014 Formation of liquid sheets by deposition of droplets on a surface. J. Colloid Interface Sci. 418, 292299.CrossRefGoogle ScholarPubMed
Davis, S. H. 1980 Moving contact lines and rivulet instabilities. Part I. The static rivulet. J. Fluid Mech. 98, 225242.CrossRefGoogle Scholar
Deegan, R. D., Bakajin, O., Dupont, T. F., Huber, G., Nagel, S. R. & Witten, T.A. 2000 Contact line deposits in an evaporating drop. Phys. Rev. E 62, 756765.CrossRefGoogle Scholar
Derby, B. 2010 Inkjet printing of functional and structural materials: fluid property requirements, feature stability, and resolution. Annu. Rev. Mater. Res. 40, 395414.CrossRefGoogle Scholar
Duffy, B. R. & Moffatt, H. K. 1995 Flow of a viscous trickle on a slowly varying incline. Chem. Engng J. 60, 141146.Google Scholar
Duineveld, P. C. 2003 The stability of ink-jet printed lines of liquid with zero receding contact angle on a homogeneous substrate. J. Fluid Mech. 477, 175200.Google Scholar
Graham, P. J., Farhangi, M. M. & Dolatabadi, A. 2012 Dynamics of droplet coalescence in response to increasing hydrophobicity. Phys. Fluids 24, 112105.CrossRefGoogle Scholar
Heil, M. & Hazel, A. L. 2006 oomph-lib: an object-oriented multi-physics finite-element library. In Fluid–Structure Interaction, Lecture Notes on Computational Science and Engineering, vol. 53, pp. 1949. Springer.Google Scholar
Hernández-Sánchez, J. F., Lubbers, L. A., Eddi, A. & Snoeijer, J. H. 2012 Symmetric and asymmetric coalescence of drops on a substrate. Phys. Rev. Lett. 109, 184502.Google Scholar
Huh, C. & Scriven, L. E. 1971 Hydrodynamic model of steady movement of a solid/liquid/fluid contact line. J. Colloid Interface Sci. 35, 85101.Google Scholar
Lee, M. W., Kim, N. Y., Chandra, S. & Yoon, S. S. 2013 Coalescence of sessile droplets of varying viscosities for line printing. Intl J. Multiphase Flow 56, 138148.Google Scholar
Lee, W. & Son, G. 2011 Numerical study of droplet impact and coalescence in a microline patterning process. Comput. Fluids 42, 2636.Google Scholar
Schiaffino, S. & Sonin, A. A. 1997 Formation and stability of liquid and molten beads on a solid surface. J. Fluid Mech. 343, 95110.Google Scholar
Snoeijer, J. H. & Andreotti, B. 2013 Moving contact lines: scales, regimes and dynamical transitions. Annu. Rev. Fluid Mech. 45, 269292.Google Scholar
Soltman, D. & Subramanian, V. 2008 Inkjet-printed line morphologies and temperature control of the coffee ring effect. Langmuir 24, 22242231.CrossRefGoogle ScholarPubMed
Stringer, J. & Derby, B. 2010 Formation and stability of lines produced by inkjet printing. Langmuir 26, 1036510372.CrossRefGoogle ScholarPubMed
Visser, C. W., Tagawa, Y., Sun, C. & Lohse, D. 2012 Microdroplet impact at very high velocity. Soft Matt. 8, 1073210737.Google Scholar
Yarin, A. L. 2006 Drop impact dynamics: splashing, spreading, receding, bouncing. Annu. Rev. Fluid Mech. 38, 159192.Google Scholar
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