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Experiments in Fluids

Erschienen in:

01.01.2006 | Original Paper

The splash/non-splash boundary upon a dry surface and thin fluid film

verfasst von: Randy L. Vander Wal, Gordon M. Berger, Steven D. Mozes

Erschienen in: Experiments in Fluids | Ausgabe 1/2006

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Abstract

On the basis of empirical data, power-law boundary relations are formulated to delineate the splash and non-splash regions on dry surfaces or thin films under isothermal conditions, using the Ohnesorge and Reynolds numbers. Approximation of the relations permits cancellation of fundamental fluid physical constants to give simplified formulas which provide insight into the governing parameters describing splashing and non-splashing behaviors. Thus, for a droplet impinging upon a dry solid surface, the splash/non-splash border is well described by √Ca = 0.35. For a drop impinging upon a thin fluid film, the analytical simplification yields a boundary described by √We = 20. For both expressions, values greater than the numerical value result in splashing.

Vorheriger Artikel Droplets splashing upon films of the same fluid of various depths

Nächster Artikel Measurements of multicomponent microdroplet evaporation by using Rainbow Refractometer and PDA

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Akao F, Araki K, Mori S, Moriyama A (1980) Deformation behavior of a liquid droplet impinging onto hot metal surface. Trans Iron Steel Inst Jpn 20:737–743

Allen RF (1975) The role of surface tension in splashing. J Colloid Surf Sci 51:350–351CrossRef

Bernardin JD, Stebbins CJ, Mudawar I (1997) Mapping of impact and heat transfer regimes of water drops impinging on a polished surface. Int J Heat Mass Transfer 40:247–267CrossRef

Bussman M, Chandra S, Mostaghimi J (2000) Modeling the splash of a droplet impacting a solid surface. Phys Fluids 12:3121–3132CrossRef

Cai YK (1989) Phenomena of a liquid drop falling to a liquid surface. Exp Fluids 7:388–394CrossRef

Chandra S, Avedisian CT (1991) On the collision of a droplet with a solid surface. Proc R Soc London Ser A 432:13

Coghe A, Brunello G, Cossali GE Marengo M (1999) Single drop splash on thin film: measurements of crown characteristics. In: ILASS Europe 1999

Cossali GE, Coghe A, Marengo M (1997) The impact of a single drop on a wetted solid surface. Exp Fluids 22:463–472CrossRef

Cossali GE, Brunello G, Coghe A, Marengo M (1999) Impact of a single drop on a liquid film: Experimental analysis and comparison with empirical models. In: Italian congress of thermofluid dynamics UIT, Ferrara, 30th June–2nd June 1999

Cresswell RW, Morton BR (1995) Drop-formed vortex rings: the generation of vorticity. Phys Fluids 7:1363–1370CrossRefMathSciNet

Crooks R, Boger DV (2000) Influence of fluid elasticity on drops impacting on dry surfaces. J Rheol 4:973–996CrossRef

Engel OG (1967) Initial pressure, initial flow velocity and the time dependence of crater depth in fluid impacts. J Appl Phys 38:3935–3940CrossRef

Fukai J, Shiiba Y, Yamamoto T, Miyatake O, Poulikakos D, Megaridis CM, Zhao Z (1995) Wetting effects on the spreading of a liquid droplet colliding with a flat surface: experiment and modeling. Phys Fluids 7:236–247CrossRef

Hardalupas Y, Taylor AMKP, Wilkins JH (1999) Experimental investigation of sub-millimeter droplet impingement onto spherical surfaces. Int J Heat Fluid Flow 20:477–485CrossRef

Hatta N, Fujimoto H, Takuda H (1995) Deformation process of a water droplet impinging on a solid surface. J Heat Transfer 117:394–401

Hobbs PV, Kezweeny AJ (1966) Splashing of a water drop. Science 155:1112–1114CrossRef

Hobbs PV, Osheroff T (1967) Splashing of drops on shallow liquids. Science 158:1184–1186CrossRef

Josserand C, Zaleski S (2003) Droplet splashing on a thin liquid film. Phys Fluids 15:1650–1657CrossRef

Kang BS, Lee DH (2000) On the dynamic behavior of a liquid droplet impacting upon an inclined heated surface. Exp Fluids 29:380–387CrossRefMathSciNet

Karl A, Frohn A (2000) Experimental investigation of interaction processes between droplets and hot walls. Phys Fluids 12:785–796CrossRefMATH

Kersten B, Ohl CD, Prosperetti A (2003) Transient impact of a liquid column on a miscible liquid surface. Phys Fluids 15:821–824CrossRef

Kim H-Y, Feng ZC, Chun J-H (2000) Instability of a liquid jet emerging from a droplet upon collision with a solid surface. Phys Fluids 12:531–541CrossRefMATH

Kim H-Y, Park S-Y, and Min K (2003) Imaging the high-speed impact of microdrop on solid surface. Rev Sci Instrum 74:4930–4937CrossRef

Ko YS, Chung SH (1996) An experiment on the breakup of impinging droplets on a hot surface. Exp Fluids 21:118–123CrossRef

Lavergne G, Platet B (2000) Droplet impingement on cold and wet wall. In: ILASS-Europe, VII:12.1–12.7, 11–13 September 2000

Levin Z, Hobbs PV (1971) Splashing of water drops on solid and wetted surfaces: hydrodynamics and charge separation. Philos Trans R Soc Lond Ser A 269:555CrossRef

Mao TM, Kuhn DCS, Tran H (1997) Spread and rebound of liquid droplets upon impact on flat surfaces. AIChE J 43:2169–2179CrossRef

Mourougou-Candoni N, Prunet-Foch B, Legay F, Vignes-Adler M, Wong K (1997) Influence of dynamic surface tension on the spreading of surfactant solution droplets impacting onto a low-surface energy solid substrate. J Colloid Interface Sci 192:129–141CrossRefPubMed

Mourougou-Candoni N, Prunet-Foch B, Legay F, Vignes-Adler M (1999) Retraction phenomena of surfactant solution drops upon impact on a solid substrate of low surface energy. Langmuir 15:6563–6574CrossRef

Mundo CHR, Sommerfeld M, Tropea C (1995) Droplet-wall collisions: experimental studies of the deformation and breakup process. Int J Multiphase Flow 21:151–173CrossRefMATH

Oguz HN, Prosperetti A (1989) Surface tension effects in the contact of liquid surfaces. J Fluid Mech 203:149–171CrossRef

Pasandideh-Fard M, Qiao YM, Chandra S, Mostaghimi J (1996) Capillary effects during droplet impact on a solid surface. Phys Fluids 8:650–659CrossRef

Peck B, Sigurdson L (1994) The three dimensional vortex structure of an impacting water drop. Phys Fluids 6:564–576CrossRef

Prunet-Foch B, Legay F, Vignes-Adler M, Delmotte C (1998) Impacting emulsion drop on a steel plate: influence of the solid substrate. J Colloid Interface Sci 199:151–168CrossRef

Pumphrey HC, Elmore PA (1990) The entrainment of bubbles by drop impacts. J Fluid Mech 220:539–567CrossRef

Range K, Feuillebois F (1998) Influence of surface roughness on liquid drop impact. J Coll Int Sci 203:16–30CrossRef

Rein M (1996) The translational regime between coalescing and splashing drops. J Fluid Mech 306:145–165CrossRef

Rieber M, Frohn A (1999) A numerical study on the mechanism of splashing. Int J Heat Fluid Flow 20:455–461CrossRef

Rioboo R, Tropea C, Marengo M (2001) Outcomes from a drop impact on solid surfaces. Atomization Sprays 11:155–165

Rioboo R, Marengo M, Tropea C (2002) Time evolution of liquid drop impact onto solid dry surfaces. Exp Fluids 33:112–124

Rioboo R, Bauthier C, Conti J, Voue M, De Connick J (2003) Experimental investigation of splash and crown formation during single drop impact upon wetted surfaces. Exp Fluids 32:1–8

Roisman IV, Tropea C (2002) Impact of a drop onto a wetted wall: description of crown formation and propagation. J Fluid Mech 472:373–397CrossRefMATHMathSciNet

Roisman IV, Araneo L, Marengo M, Tropea C (1999) Evaluation of drop impingement models: experimental and numerical analysis of a spray impact. In: ILASS-Europe’99, Toulouse, France

Rozhkov A, Prunet-Foch B, Vignes-Adler M (2002) Impact of water drops on small targets. Phys Fluids 14:3485–3501CrossRef

Scheller BL, Bousfield DW (1995) Newtonian drop impact with a solid surface. AIChE J 41:1357–1367CrossRef

Shi MH, Chen JC (1983) Behavior of a liquid droplet impinging on a solid surface. ASME 83-Wa/HT-104

Shin J, McMahon TA (1990) The tuning of a splash. Phys Fluids A2:1312–1317CrossRef

Sivakumar D, Tropea C (2002) Splashing impact of a spray onto a liquid film. Phys Fluids 14:L85–L88CrossRef

Stow CD, Hadfield MG (1981) An experimental investigation of fluid flow resulting from the impact of a water drop with an unyielding dry surface. Proc R Soc Lond A 373:419–441CrossRef

Stow CD, Stainer RD (1977) The physical products of a splashing water drop. J Meterol Soc Jpn 55:518–531

Thoroddsen ST, Sakakibara J (1998) Evolution of the fingering pattern of an impacting drop. Phys Fluids 10:1359–1374CrossRef

Thoroddsen ST, Takehara K (2000) The coalescence cascade of a drop. Phys Fluids 12:1265–1267CrossRefMATH

Trujillo MF, Lee CF (2001) Modeling crown formation due to the splashing of a droplet. Phys Fluids 13:2503–2516CrossRefMathSciNet

Vander Wal RL, Berger GM, Mozes SD (2005) Droplets splashing upon films of the same fluid of various depths

Wang A-B, Chen C-C (2000) Splashing impact of a single drop onto very thin liquid films. Phys Fluids 12:2155–2158CrossRef

Weast RC (ed) (1973) Chemical rubber company handbook of chemistry and physics, 54th edn. Cleveland

Wu Z-N (1992) Modelisation et calcul implicite multidomaine d’ecoulements diphasiques gaz-gouttelettes. PhD Thesis, Universite Pierre et Marie Curie

Wu Z-N (2003) Approximate critical Weber number for the breakup of an expanding torus. Acta Mech 0:1–9

Yang C, Leong KC (2002) Influences of substrate wettability and liquid viscosity on isothermal spreading of liquid droplets on solid surfaces. Exp Fluids 33:728–731

Yarin AL, Weiss D (1995) Impact of drops on solid surface: self-similar capillary waves and splashing as a new type of cinematic discontinuity. J Fluid Mech 283:141–173CrossRef

Zhang X, Basaran OA (1997) Dynamic surface tension effects in impact of a drop with a solid surface. J Colloid Interface Sci 187:166–178CrossRefPubMed

Zhao Z, Poulikakos D, Fukai J (1996) Heat transfer and fluid dynamics during the collision of a liquid droplet on a substrate-II. Modeling. Int J Heat Mass Transfer 39:2791–2802CrossRef

Titel: The splash/non-splash boundary upon a dry surface and thin fluid film
verfasst von: Randy L. Vander Wal
Gordon M. Berger
Steven D. Mozes
Publikationsdatum: 01.01.2006
Verlag: Springer-Verlag
Erschienen in: Experiments in Fluids / Ausgabe 1/2006
Print ISSN: 0723-4864
Elektronische ISSN: 1432-1114
DOI: https://doi.org/10.1007/s00348-005-0045-1

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