Simulation of Water Droplet on Horizontally Smooth and Rough Surfaces Using Quasi-Molecular Modelling
We developed a method based on quasi-molecular
modelling to simulate the fall of water drops on horizontally smooth
and rough surfaces. Each quasi-molecule was a group of particles
that interacted in a fashion entirely analogous to classical Newtonian
molecular interactions. When a falling water droplet was simulated at
low impact velocity on both smooth and rough surfaces, the droplets
moved periodically (i.e. the droplets moved up and down for a
certain period, finally they stopped moving and reached a steady
state), spreading and recoiling without splash or break-up. Spreading
rates of falling water droplets increased rapidly as time increased
until the spreading rate reached its steady state at time t ~ 0.25 s for
rough surface and t ~ 0.40 s for smooth surface. The droplet height
above both surfaces decreased as time increased, remained constant
after the droplet diameter attained a maximum value and reached its
steady state at time t ~ 0.4 s. However, rough surface had higher
spreading rates of falling water droplets and lower height on the
surface than smooth one.
[1] S.T. Thoroddsen and J. Sakakibara, "Evolution of the fingering pattern
of an impacting drop," Phys Fluids, vol. 10, pp. 1359-1374, Feb. 1998.
[2] S. Sikalo, M Marengo, C. Tropea and E.N. Ganic, "Analysis of impact
of droplets on horizontal surface," Exp Therm Fluid Sci, vol. 25, pp.
503-510, Oct. 2002.
[3] L.S. Manzello and C.J. Yang, "An experimental investigation of water
droplet impingement on heated wax surface," Int J Heat Mass Tran, vol.
47, pp. 1701-1709, Oct. 2004.
[4] D.C.D. Roux and J.J. Cooper-White, "Dynamic of water spreading on a
glass surface," J Colloid Interf Sci, vol. 227, pp. 424-436, Feb. 2004.
[5] A.S.H. Moita and A.L.N. Moreira. (2006, March 13). "Influence of
surface properties on the dynamic behavior of impacting droplets
(Presented Conference Paper Style)" presented at the 9th International
Conference on Liquid Atomization and Spray Systems, July 2003.
[Online] Available: http://www.ucs.ull.edu
[6] K.F.F. Range, "Influence of. Surface-roughness on liquid drop impact,"
J. Col. Int. Sci, vol 203,16-30, 1998
[7] C.A. Miller and E. Ruckenstein, "The origin of flow during wetting of
solid," J Colloid Interf Sci, vol. 48, pp. 368-373, 1974.
[8] P. Neogi and C.A. Miller, "Spreading kinetics of a drop on smooth solid
surface," J Colloid Interf Sci, vol. 86, pp. 525-538, 1982.
[9] G.J. Merchant and J.B. Keller, "Contact angle," Phys Fluids, vol. 4, pp.
477-485, 1992.
[10] P.G. de Gennes, X Hua, and P Levinson, "Dynamics of wetting: local
contact angles," J Fluid Mech, vol. 212, pp. 55-63, 1990.
[11] E.B. Dussan and S.H. Davis, "On the motion of fluid-fluid interface
along a solid surface," J Fluid Mech, vol. 65, pp. 71-95, 1974.
[12] F.H. Harlow and J.P. Shannon, "The splash of a liquid drop," J Appl
Phys, vol. 38, pp. 3855-3866, 1967.
[13] A.W. Adamson, Physical chemistry of surface. New York: Interscience,
1960.
[14] M. S. Korlie, "3-D Particle modelling of gas bubbles in a liquid," Comp
Math App, vol. 39, pp. 235-246, 2000.
[15] J. Lopez, C.A. Miller and E. Ruckenstein, "Spreading kinetics of liquid
drops on solids," J Colloid Interf Sci, vol. 56, pp. 460-461, 1976.
[16] D. Greenspan, Quasi-molecular modelling. Singapore: JBW Printers and
Binders Ptd. Ltd., 1991.
[17] B.J. Daiy, "A technique for including surface tension effects in
hydrodynamics calculations," J Comput Phys vol. 4, pp. 97-117, 1969.
[18] A.S. Moita and A.L. Moreira, "The dynamic behavior of single droplets
impacting onto a flat surface," ILASS-Europe, 2002.
[1] S.T. Thoroddsen and J. Sakakibara, "Evolution of the fingering pattern
of an impacting drop," Phys Fluids, vol. 10, pp. 1359-1374, Feb. 1998.
[2] S. Sikalo, M Marengo, C. Tropea and E.N. Ganic, "Analysis of impact
of droplets on horizontal surface," Exp Therm Fluid Sci, vol. 25, pp.
503-510, Oct. 2002.
[3] L.S. Manzello and C.J. Yang, "An experimental investigation of water
droplet impingement on heated wax surface," Int J Heat Mass Tran, vol.
47, pp. 1701-1709, Oct. 2004.
[4] D.C.D. Roux and J.J. Cooper-White, "Dynamic of water spreading on a
glass surface," J Colloid Interf Sci, vol. 227, pp. 424-436, Feb. 2004.
[5] A.S.H. Moita and A.L.N. Moreira. (2006, March 13). "Influence of
surface properties on the dynamic behavior of impacting droplets
(Presented Conference Paper Style)" presented at the 9th International
Conference on Liquid Atomization and Spray Systems, July 2003.
[Online] Available: http://www.ucs.ull.edu
[6] K.F.F. Range, "Influence of. Surface-roughness on liquid drop impact,"
J. Col. Int. Sci, vol 203,16-30, 1998
[7] C.A. Miller and E. Ruckenstein, "The origin of flow during wetting of
solid," J Colloid Interf Sci, vol. 48, pp. 368-373, 1974.
[8] P. Neogi and C.A. Miller, "Spreading kinetics of a drop on smooth solid
surface," J Colloid Interf Sci, vol. 86, pp. 525-538, 1982.
[9] G.J. Merchant and J.B. Keller, "Contact angle," Phys Fluids, vol. 4, pp.
477-485, 1992.
[10] P.G. de Gennes, X Hua, and P Levinson, "Dynamics of wetting: local
contact angles," J Fluid Mech, vol. 212, pp. 55-63, 1990.
[11] E.B. Dussan and S.H. Davis, "On the motion of fluid-fluid interface
along a solid surface," J Fluid Mech, vol. 65, pp. 71-95, 1974.
[12] F.H. Harlow and J.P. Shannon, "The splash of a liquid drop," J Appl
Phys, vol. 38, pp. 3855-3866, 1967.
[13] A.W. Adamson, Physical chemistry of surface. New York: Interscience,
1960.
[14] M. S. Korlie, "3-D Particle modelling of gas bubbles in a liquid," Comp
Math App, vol. 39, pp. 235-246, 2000.
[15] J. Lopez, C.A. Miller and E. Ruckenstein, "Spreading kinetics of liquid
drops on solids," J Colloid Interf Sci, vol. 56, pp. 460-461, 1976.
[16] D. Greenspan, Quasi-molecular modelling. Singapore: JBW Printers and
Binders Ptd. Ltd., 1991.
[17] B.J. Daiy, "A technique for including surface tension effects in
hydrodynamics calculations," J Comput Phys vol. 4, pp. 97-117, 1969.
[18] A.S. Moita and A.L. Moreira, "The dynamic behavior of single droplets
impacting onto a flat surface," ILASS-Europe, 2002.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:50532", author = "S. Kulsri and M. Jaroensutasinee and K. Jaroensutasinee", title = "Simulation of Water Droplet on Horizontally Smooth and Rough Surfaces Using Quasi-Molecular Modelling", abstract = "We developed a method based on quasi-molecular
modelling to simulate the fall of water drops on horizontally smooth
and rough surfaces. Each quasi-molecule was a group of particles
that interacted in a fashion entirely analogous to classical Newtonian
molecular interactions. When a falling water droplet was simulated at
low impact velocity on both smooth and rough surfaces, the droplets
moved periodically (i.e. the droplets moved up and down for a
certain period, finally they stopped moving and reached a steady
state), spreading and recoiling without splash or break-up. Spreading
rates of falling water droplets increased rapidly as time increased
until the spreading rate reached its steady state at time t ~ 0.25 s for
rough surface and t ~ 0.40 s for smooth surface. The droplet height
above both surfaces decreased as time increased, remained constant
after the droplet diameter attained a maximum value and reached its
steady state at time t ~ 0.4 s. However, rough surface had higher
spreading rates of falling water droplets and lower height on the
surface than smooth one.", keywords = "Quasi-molecular modelling, particle modelling,molecular aggregate approach.", volume = "2", number = "8", pages = "518-5", }