scholarly journals Impact of a liquid drop on a granular medium: Inertia, viscosity and surface tension effects on the drop deformation

2012 ◽  
Vol 41 ◽  
pp. 43-50 ◽  
Author(s):  
E. Nefzaoui ◽  
O. Skurtys
2016 ◽  
Vol 794 ◽  
pp. 676-699 ◽  
Author(s):  
Hanneke Gelderblom ◽  
Henri Lhuissier ◽  
Alexander L. Klein ◽  
Wilco Bouwhuis ◽  
Detlef Lohse ◽  
...  

A free falling, absorbing liquid drop hit by a nanosecond laser pulse experiences a strong recoil pressure kick. As a consequence, the drop propels forward and deforms into a thin sheet which eventually fragments. We study how the drop deformation depends on the pulse shape and drop properties. We first derive the velocity field inside the drop on the time scale of the pressure pulse, when the drop is still spherical. This yields the kinetic energy partition inside the drop, which precisely measures the deformation rate with respect to the propulsion rate, before surface tension comes into play. On the time scale where surface tension is important, the drop has evolved into a thin sheet. Its expansion dynamics is described with a slender-slope model, which uses the impulsive energy partition as an initial condition. Completed with boundary integral simulations, this two-stage model explains the entire drop dynamics and its dependence on the pulse shape: for a given propulsion, a tightly focused pulse results in a thin curved sheet which maximizes the lateral expansion, while a uniform illumination yields a smaller expansion but a flat symmetric sheet, in good agreement with experimental observations.


2010 ◽  
Vol 24 (17) ◽  
pp. 3411-3423 ◽  
Author(s):  
D. N. POENARU ◽  
R. A. GHERGHESCU ◽  
W. GREINER

Neutral short and long spheroidal cap clusters have been investigated within the liquid drop model. Analytical results have been obtained for the deformation-dependent surface and curvature energies. A large variety of experimentally determined shapes (both oblate and prolate) are explained by simulating the interaction energy with the substrate with a modified surface tension of the base, and by changing the missing or extended height of the cap, d. The results are illustrated for Na 56 and Na 148 atomic clusters.


2010 ◽  
Vol 658 ◽  
pp. 438-462 ◽  
Author(s):  
JAMES Q. FENG

The steady axisymmetric flow internal and external to a deformable viscous liquid drop falling through a quiescent gas under the action of gravity is computed by solving the nonlinear Navier–Stokes equations using a Galerkin finite-element method with a boundary-fitted quadrilateral mesh. Considering typical values of the density and viscosity for common liquids and gases, numerical solutions are first computed for the liquid-to-gas density ratio ρ = 1000 and viscosity ratio μ from 50 to 1000. Visually noticeable drop deformation is shown to occur when the Weber number We ~ 5. For μ ≥ 100, drops of Reynolds number Re < 200 tend to have a rounded front and flattened or even dimpled rear, whereas those at Re > 200 a flattened front and somewhat rounded rear, with that at Re = 200 exhibiting an almost fore–aft symmetric shape. As an indicator of drop deformation, the axis ratio (defined as drop width versus height) increases with increasing We and μ, but decreases with increasing Re. By tracking the solution branches around turning points using an arclength continuation algorithm, critical values of We for the ‘shape instability’ are determined typically within the range of 10 to 20, depending on the value of Re (for Re ≥ 100). The drop shape can change drastically from prolate- to oblate-like when μ < 80 (for 100 ≤ Re ≤ 500). For example, for μ = 50 a drop at Re ≥ 200 exhibits a prolate shape when We < 10 and an upside-down button mushroom shape when We > 10. The various solutions computed at ρ = 1000 with the associated values of drag coefficient and drop shapes are found to be almost invariant at other values of ρ (e.g. from 500 to 1500) as long as the value of ρ/μ2 is fixed, despite the fact that the internal circulation intensity changes according to the value of μ. The computed values of drag coefficient are shown to agree quite well with an empirical formula for rigid spheres with the radius of the sphere replaced by the radius of the cross-sectional area.


2015 ◽  
Vol 60 (8) ◽  
pp. 1119-1125 ◽  
Author(s):  
R. S. Volkov ◽  
O. V. Vysokomornaya ◽  
G. V. Kuznetsov ◽  
P. A. Strizhak

Volume 3 ◽  
2004 ◽  
Author(s):  
Y. Renardy ◽  
M. Renardy ◽  
T. Chinyoka ◽  
D. B. Khismatullin ◽  
J. Li

A volume of fluid method is developed with a parabolic representation of the interface for the surface tension force (VOF-PROST). This three-dimensional transient code is extended to treat viscoelastic liquids with the Oldroyd-B constitutive equation. Simulations of deformation for a Newtonian drop in a viscoelastic medium under shear are reported.


1998 ◽  
Vol 31 (16) ◽  
pp. 1963-1967 ◽  
Author(s):  
S Subramaniam ◽  
D R White ◽  
D J Scholl ◽  
W H Weber

2000 ◽  
Vol 20 (2Supplement) ◽  
pp. 213-216
Author(s):  
Takahiro FUJIMATSU ◽  
Hideomi FUJITA ◽  
Masafumi Hirota ◽  
Takeshi ONO ◽  
Osamu OKADA

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