We simulated impact of water, n-heptane, and molten nickel droplets on a solid surface. A numerical code was developed to model the motion of both the liquid in the droplet and the surrounding air. The model used a volume-of-fluid method to track the droplet surface and assumed that only one flow field governed the motion of all the fluids present. Predicted droplet shapes during impact agreed well with photographs. When a droplet approached another surface, air in the gap between them was forced out. Increased air pressure below a droplet created a depression in its surface in which air was trapped. The magnitude of pressure rise could be predicted using a simple analysis of fluid between two solid planes moving closer together. The air bubble formed at the solid–liquid interface remained attached to the solid surface in a water droplet. In an n-heptane droplet the bubble moved away from the surface and broke into two or three smaller bubbles before escaping through the droplet surface. This difference in behavior was attributed to the contact angle of water being much larger than that of n-heptane.
REFERENCES
1.
M.
Orme
, “Experiments on doplet collisions, bounce coalescence, and disruption
,” Prog. Energy Combust. Sci.
23
, 65
(1997
).2.
3.
J.
Qian
and C. K.
Law
, “Regimes of coalescence and separation in droplet collision
,” J. Fluid Mech.
331
, 59
(1997
).4.
S.
Chandra
and C. T.
Avedisian
, “On the collision of a droplet with a solid surface
,” Proc. R. Soc. London, Ser. A
423
, 13
(1991
).5.
H. C.
Pumphrey
and P. A.
Elmore
, “The entrainment of bubbles by drop impacts
,” J. Fluid Mech.
220
, 539
(1990
).6.
J.
Sigler
and R.
Mesler
, “The behavior of the gas film formed upon drop impact with a liquid surface
,” J. Colloid Interface Sci.
134
, 459
(1990
).7.
P. A.
Elmore
, G. L.
Chahine
, and H. N.
Oguz
, “Cavity and flow measurements of reproducible bubble entrainment following drop impacts
,” Exp. Fluids
31
, 664
(2001
).8.
Y. M.
Qiao
and S.
Chandra
, “Experiments on adding a surfactant to water droplets boiling on a hot surface
,” Proc. R. Soc. London, Ser. A
453
, 673
(1997
).9.
S. G.
Yiantsios
and R. H.
Davis
, “On the buoyancy-driven motion of a drop towards a rigid surface or a deformable interface
,” J. Fluid Mech.
217
, 547
(1990
).10.
G.
Trapaga
and J.
Szekely
, “Mathematical modeling of the isothermal impingement of liquid droplets in spraying processes
,” Metall. Trans. B
22
, 901
(1991
).11.
H.
Liu
, E. J.
Lavernia
, and R. H.
Rangel
, “Numerical simulation of substrate impact and freezing of multiple droplets in plasma spray processes
,” J. Phys. D
26
, 1900
(1993
).12.
D.
Poulikakos
, J.
Fukai
, and Z.
Zhao
, “Heat transfer and fluid dynamics during the collision of a liquid droplet on a substrate. I. Modeling
,” Int. J. Heat Mass Transf.
39
, 2771
(1996
).13.
M. Bertagnolli, M. Marchese, G. Jacucci, I. St. Doltsinis, and S. Noelting, “Finite element thermo-mechanical simulation of droplets impacting on a rigid substrate,” Material and Design Tech., ASME PD-62 (1994), pp. 199-210.
14.
M.
Pasandideh-Fard
, Y. M.
Qiao
, S.
Chandra
, and J.
Mostaghimi
, “Capillary effects during droplet impact on a solid surface
,” Phys. Fluids
8
, 650
(1996
).15.
M.
Pasandideh-Fard
and J.
Mostaghimi
, “On the spreading and solidification of molten particles in a plasma spray process: Effect of thermal contact resistance
,” Plasma Chem. Plasma Process.
16
, 83S
(1996
).16.
M.
Bussmann
, J.
Mostaghimi
, and S.
Chandra
, “On a three-dimensional volume tracking model of droplet impact
,” Phys. Fluids
11
, 1406
(1999
).17.
M.
Bussmann
, S.
Chandra
, and J.
Mostaghimi
, “Modeling the splashing of a droplet impacting a solid surface
,” Phys. Fluids
12
, 3121
(2000
).18.
M.
Pasandideh-Fard
, M.
Bussmann
, S.
Chandra
, and J.
Mostaghimi
, “Simulating droplet impact on a substrate of arbitrary shape
,” Atomization Sprays
11
, 397
(2001
).19.
J.
Mostaghimi
, M.
Pasandideh-Fard
, and S.
Chandra
, “Dynamics of splat formation in plasma spray coating process
,” Plasma Chem. Plasma Process.
22
, No. 1
, 85
(2002
).20.
M.
Pasandideh-Fard
, V.
Pershin
, S.
Chandra
, and J.
Mostaghimi
, “Splat shapes in a thermal spray coating process: Simulations and experiments
,” J. Therm. Spray Technolo.
11
, No. 2
, 206
(2002
).21.
Y. M.
Qiao
and S.
Chandra
, “Boiling of droplets on a hot surface in low gravity
,” Int. J. Heat Mass Transf.
39
, 1379
(1996
).22.
W. J.
Rider
and D. B.
Kothe
, “Reconstructing volume of fluid
,” J. Comput. Phys.
141
, 112
(1998
).23.
H.
Haj-Hairi
and Q.
Shi
, “Effects of local property smearing on global variables: Implication for numerical simulations of multiphase flows
,” Phys. Fluids
6
, 2555
(1994
).24.
G. Tryggvason et al., “Computations of multiphase flows by a finite difference/front tracking method. I Multi-fluid flows,” in 29th CFD Lecture Series 1998-03 (Von Karman Institute for Fluid Dynamics, Rhode-Saint-Genese, Belgium, 1998).
25.
M.
Sussman
, P.
Smereka
, and S.
Osher
, “A level set approach for computing solutions to incompressible two-phase flow
,” J. Comput. Phys.
114
, 146
(1994
).26.
X. L.
Li
, “Study of three-dimensional Rayleigh–Taylor instability in compressible fluids through level set method and parallel computation
,” Phys. Fluids A
5
, 1904
(1993
).27.
E. G.
Puckett
et al., “A higher-order projection method for tracking fluid interfaces in variable density incompressible flows
,” J. Comput. Phys.
130
, 269
(1997
).28.
M.
Rudman
, “A volume-tracking method for incompressible multifluid flows with large density variations
,” Int. J. Numer. Methods Fluids
28
, 357
(1998
).29.
D. B. Kothe, “Perspective on Eulerian finite volume methods for incompressible interfacial flows” (LANL Report LA-UR-97-3559), lecture notes presented at Free Surface Flow Workshop, Int. Centre for Mech. Sc., Udine, Italy, September, 1997, in Free Surface Flows, edited by H. C. Kuhlmann and H-J Rath (Springer, New York), pp. 267–331.
30.
M.
Sussman
and E. G.
Puckett
, “A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows
,” J. Comput. Phys.
162
, 301
(2000
).31.
D. L. Youngs, “Time-dependent multi-material flow with large fluid distortion,” in Numerical Methods for Fluid Dynamics, edited by K. W. Morton and M. J. Baines (Academic, New York, 1982), pp. 273–285.
32.
D. B. Kothe, R. C. Mjolsness, and M. D. Torrey, “RIPPLE: A computer program for incompressible flows with free surfaces,” Technical Report LA-12007-MS, LANL (1991).
33.
C. W.
Hirt
and B. D.
Nichols
, “Volume of fluid (VOF) method for the dynamics of free boundaries
,” J. Comput. Phys.
39
, 201
(1981
)34.
G. K. Batchelor, An Introduction to Fluid Mechanics (Cambridge University Press, Cambridge, 1967).
35.
J. U.
Brackbill
et al., “A continuum method for modeling surface tension
,” J. Comput. Phys.
100
, 335
(1992
).36.
S. J.
Lee
et al., “Compressive flow between parallel disks I. Newtonian fluid with a transverse viscosity gradient
,” J. Non-Newtonian Fluid Mech.
10
, 3
(1982
).
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