Study on Spreading of Liquid Droplet Impacting on a Solid Dry Surface

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A numerical computation and theoretical model are presented on spreading of a single droplet impacting on a solid surface at low Weber number. The numerical simulation uses combined Level Set-VOF method and a precise wetting model. The singularity at the moving contact line was analyzed and removed by present wetting model. A theoretical model based on the energy balance was developed to predict the maximum spreading ratio, accounting for wetting effect by a correction factor. The droplets shapes, the dimensionless spreading radius and the dimensionless height of droplet calculated by present numerical method were compared with the experimental data. The theoretical model is used to predict the maximum spreading ratio. The numerical and theoretical results agree well with the experimental data. Present theoretical model indicates that capillary effects may be neglected if 6We(We/3+4)>>Re.

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888-893

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July 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] T. Blake, M. Bracke, Y. Shikhmurzaev, Experimental evidence of nonlocal hydrodynamic influence on the dynamic contact angle, Physics of Fluids 11 (1999) 1995–(2007).

DOI: 10.1063/1.870063

Google Scholar

[2] H. Liu, S. Krishnan, S. Marella and H.S. Udaykumar, Sharp interface Cartesian grid method II: A technique for simulating droplet interactions with surfaces of arbitrary shape, Journal of Computational Physics 210 (2005) 32-54.

DOI: 10.1016/j.jcp.2005.03.032

Google Scholar

[3] Kwon T J. Simulating collisions of droplets with walls and films using a level set method. Purdue University (2003).

Google Scholar

[4] Kensuke Yokoi, Damien Vadillo, John Hinch, and Ian Hutchings, Numerical studies of the influence of the dynamic contact angle on a droplet impacting on a dry surface, Phys. Fluids 21 (2009) 072102-12.

DOI: 10.1063/1.3158468

Google Scholar

[5] H.K. Moffat, Viscous and resistive eddies near a sharp corner, J. Fluid Mech. 18 (1964) 1–18.

DOI: 10.1017/s0022112064000015

Google Scholar

[6] F. Heslot, A M. Cazabat, P Levinson, Dynamics of wetting of tiny drops: Ellipsometric study of the late stages of spreading, Phys. Rev. Lett 62 (1989) 1286–1289.

DOI: 10.1103/physrevlett.62.1286

Google Scholar

[7] X.D. Wang, X.F. Peng, D.J. Lee. Dynamic wetting and stress singularity on contact line. Science in China Series E 46 (2003) 407-417.

DOI: 10.1360/02ye0407

Google Scholar

[8] I.V. Roisman, L. Opfer, C. Tropea, M. Raessi, J. Mostaghimi and S. Chandra, Drop impact onto a dry surface : role of the dynamic contact angle, Colloids and Surfaces A: Physicochemical and Engineering Aspects 322 (2008) 183-191.

DOI: 10.1016/j.colsurfa.2008.03.005

Google Scholar