Abstract
Coalescence of a falling droplet with a stationary sessile droplet is studied experimentally. High-speed video images are presented to show coalescence dynamics, shape evolution and contact line movement. Emphasis is put on spread length, which is the length of two coalesced droplets along their original centers. Experimental results have shown that the spread length can be larger or smaller than the ideal spread length, which is the spread diameter of individual droplet plus the center-to-center distance between the two droplets. Three different coalescence mechanisms based on comparing the maximum and the minimum spread lengths to the ideal spread length are identified. Correlations for the maximum and the minimum spread lengths are developed, which can be combined with the coalescence domains to determine the deposition conditions for forming continuous or discontinuous lines.
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Andrieu C, Beysens DA, Nikolayev VS, Pomeau Y (2002) Coalescence of sessile drops. J Fluid Mech 453:427–438
Duchemin L, Eggers J, Josserand C (2003) Inviscid coalescence of drops. J Fluid Mech 487:167–178
Duineveld PC (2003) The stability of ink-jet printed lines of liquid with zero receding contact angle on a homogeneous substrate. J Fluid Mech 477:175–200
Eggers J, Lister JR, Stone HA (1999) Coalescence of liquid drops. J Fluid Mech 401:293–310
Fang M, Chandra S, Park CB (2007) Experiments on remelting and solidification of molten metal droplets deposited in vertical columns. J Manuf Sci Eng-Trans ASME 129:311–318
Gao F, Sonin AA (1994) Precise deposition of molten microdrops: the physics of digital microfabrication. Proc R Soc Lond Ser A 44:533–554
Li R, Ashgriz N, Chandra S, Andrews JR, Williams J (2008a) Drawback during deposition of overlapping molten wax droplets. J Manuf Sci Eng 130:041011
Li R, Ashgriz N, Chandra S, Andrews JR, Drappel S (2008b) Deposition of Molten Ink Droplets on a Solid Surface. J Imaging Sci Technol 52(2):020502
Liu Q, Orme M (2001) High precision solder droplet printing technology and the state-of-the-art. J Mater Process Technol 115(3):271–283
Menchaca-Rocha A, Martinez-Davalos A, Nunez R (2001) Coalescence of liquid drops by surface tension. Phys Rev E 63:046309
Narhe R, Beysens D, Nikolayev VS (2004) Contact line dynamics in drop coalescence and spreading. Langmuir 20:1213–1221
Nikolayev VS, Beysens DA (2002) Relaxation of nonspherical sessile drops towards equilibrium. Phys Rev E 65:046135
Ristenpart WD, McCalla PM, Roy RV, Stone HA (2006) Coalescence of spreading droplets on a wettable substrate. Phys Rev Lett 97:064501
Roisman IV, Prunet-Foch B, Tropea C, Vignes-Adler M (2002) Multiple drop impact onto a dry solid substrate. J Colloid Interface Sci 256:396–410
Sirringhaus H, Kawase T, Friend RH, Shimoda T, Inbasekaran M, Wu W, Woo EP (2000) High-resolution inkjet printing of all-polymer transistor circuits. Science 290:2123–2126
Snyder T, Korol S (1999) Modeling the offset solid-ink printing process. IS&T’s Recent Progress in Ink Jet Technologies II, pp 175–181
Thoroddsen ST, Takehara K, Etoh TG (2005) The coalescence speed of a pendant and a sessile drop. J Fluid Mech 527:85–114
Zhang Y-M, Chen Y, Li P, Male AT (2003) Weld deposition-based rapid prototyping: a preliminary study. J Mater Process Technol 135(2–3):347–357
Acknowledgments
The authors are indebted to James Williams, O′Neil Jason and Dave Mantell from Xerox Corporation for their help. The authors also thank Frankie Yau for his assistance in doing the measurement. This work is supported by Xerox Foundation and Natural Sciences and Engineering Research Council of Canada (NSERC).
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Li, R., Ashgriz, N., Chandra, S. et al. Coalescence of two droplets impacting a solid surface. Exp Fluids 48, 1025–1035 (2010). https://doi.org/10.1007/s00348-009-0789-0
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DOI: https://doi.org/10.1007/s00348-009-0789-0