Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-18T01:34:18.562Z Has data issue: false hasContentIssue false

Dynamics of droplet–film collision

Published online by Cambridge University Press:  31 August 2007

K. L. PAN
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
C. K. LAW
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA

Abstract

The head-on collision of a droplet onto a liquid layer of the same material, backed bya solid surface, was experimentally and computationally investigated, with emphasis on the transition from bouncing of the droplet to its absorption by the film for given dropletWeber number, We, and the film thickness scaled by the droplet radius, Hf. Experimental results show that while absorption is favoured with increasing We, there exists a range around Hf ≈, 1 over which this tendency is moderated. This local moderation in turn corresponds to a regime, 11 ≲ We ≲ 14, over which increasing Hf from a small value leads to a triple reversalbehaviour of absorption, bouncing, absorption again, and bouncing again. The collision dynamics including evolution of the surface contours of the droplet and film, as well as the energy budgets, were then simulated by using a front-tracking technique. For collisionsleading to absorption and partial absorption, for which part of the absorbed droplet is subsequently ejected from the film, rupture and hence merging of the interfaces were manually imposed at an instant that leads to agreement between the subsequent calculated and experimental images. The simulation satisfactorily identified the different factors influencing the observed non-monotonic response of the collision event.

Type
Papers
Copyright
Copyright © Cambridge University Press 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Ashgriz, N. & Poo, J. Y. 1990 Coalescence and separation in binary collisions of liquid drops. J. Fluid Mech. 221, 183.CrossRefGoogle Scholar
Ching, B., Golay, M. W. & Johnson, T. J. 1984 Droplet Impacts upon liquid surfaces. Scienc. 226, 535.CrossRefGoogle ScholarPubMed
Harlow, F. H. & Shannon, J. P. 1967 The splash of a liquid drop. J. Appl. Phys. 38, 3855.CrossRefGoogle Scholar
Jayaratne, O. W. & Mason, B. J. 1964 The coalescence and bouncing of water drops at an air/water interface. Proc. R. Soc. Lond. A 280, 545.Google Scholar
Jiang, Y. J., Umemura, A. & Law, C. K. 1992 An experimental investigation on the collision behaviour of hydrocarbon droplets. J. Fluid Mech. 234, 171.CrossRefGoogle Scholar
Kundu, P. K. & Cohen, I. M. 2002 Fluid Mechanics, 2nd Edn. Academic.Google Scholar
Lamb, H. 1932 Hydrodynamics. Dover.Google Scholar
Middleman, S. 1995 Modeling Axisymmetric Flows: Dynamics of Films, Jets, and Drops. Academic.Google Scholar
Nobari, M. R., Jan, Y.-J. & Tryggvason, G. 1996 Head-on collision of drops – A numerical investigation. Phys. Fluid. 8, 29.CrossRefGoogle Scholar
Orme, M. 1997 Experiments on droplet collisions, bounce, coalescence and disruption. Prog. Energy Combust. Sci. 23, 65.CrossRefGoogle Scholar
Pan, K. L. 2004 Dynamics of droplet collision and flame-front motion. PhD thesis, Princeton University.Google Scholar
Pan, K. L. & Law, C. K. 2004 On the dynamics of head-on droplet collision: experiment and simulation. AIAA Paper 2004–1159.Google Scholar
Peskin, C. S. 1977 Numerical analysis of blood flow in the heart. J. Comput. Phys. 25, 220.CrossRefGoogle Scholar
Qian, J. 1997 Droplet and flame dynamics in combustion phenomena. PhD thesis, Princeton University.Google Scholar
Qian, J. & Law, C. K. 1997 Regimes of coalescence and separation in droplet collision. J. Fluid Mech. 331, 59.CrossRefGoogle Scholar
Rein, M. 1993 Phenomena of liquid drop impact on solid and liquid surfaces. Fluid Dyn. Res. 12, 61.CrossRefGoogle Scholar
Rodriguez, F. & Mesler, R. 1985 Some drops don't splash. J. Colloid Interface Sci. 106, 347.CrossRefGoogle Scholar
Stanton, D. W. & Rutland, C. J. 1998 Multi-dimensional modeling of thin liquid films and spray-wall interactions resulting from impinging sprays. Intl J. Heat Mass Transfe. 41, 3037.CrossRefGoogle Scholar
Stow, C. D. & Hadfield, M. G. 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.Google Scholar
Unverdi, S. O. & Tryggvason, G. 1992 A front tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 100, 25.CrossRefGoogle Scholar
White, F. M. 1991 Viscous Fluid Flow, 2nd Edn. McGraw-Hill.Google Scholar
Yiantsios, S. G. & Davis, R. H. 1990 On the buoyancy-driven motion of a drop towards a rigid surface or a deformable interface. J. Fluid Mech. 217, 547.CrossRefGoogle Scholar