Drop impact

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A drop striking a liquid surface; in this case, both the drop and the surface are water. Water drop 001.jpg
A drop striking a liquid surface; in this case, both the drop and the surface are water.

In fluid dynamics, drop impact occurs when a drop of liquid strikes a solid or liquid surface. The resulting outcome depends on the properties of the drop, the surface, and the surrounding fluid, which is most commonly a gas.

Contents

On a dry solid surface

When a liquid drop strikes a dry solid surface, it generally spreads on the surface, and then will retract if the impact is energetic enough to cause the drop to spread out more than it would generally spread due to its static receding contact angle. The specific outcome of the impact depends mostly upon the drop size, velocity, surface tension, viscosity, and also upon the surface roughness and the contact angle between the drop and the surface. [1] Droplet impact parameters such as contact time and impact regime can be modified and controlled by different passive and active methods. [2]

Summary of possible outcomes

Corona splash on a dry solid surface. Water splashes 001.jpg
Corona splash on a dry solid surface.

On superhydrophobic surfaces

Small drop deformation

On superhydrophobic surfaces, liquid drops are observed to bounce off of the solid surface. Richard and Quéré showed that a small liquid drop was able to bounce off of a solid surface over 20 times before coming to rest. [6] Of particular interest is the length of time that the drop remains in contact with the solid surface. This is important in applications such as heat transfer and aircraft icing. To find a relationship between drop size and contact time for low Weber number impacts (We << 1) on superhydrophobic surfaces (which experience little deformation), a simple balance between inertia () and capillarity () can be used, [7] as follows:

where is the drop density, R is the drop radius, is the characteristic time scale, and is the drop surface tension.

This yields

.

The contact time is independent of velocity in this regime. The minimum contact time for a low deformation drop (We << 1) is approximated by the lowest-order oscillation period for a spherical drop., [8] giving the characteristic time a prefactor of approximately 2.2. [9] For large-deformation drops (We > 1), similar contact times are seen even though dynamics of impact are different, as discussed below. [9] If the droplet is split into multiple droplets, the contact time is reduced. [9]

Breakup of a water drop impacting a superhydrophobic surface at a Weber number of approximately 214. Superhydrophobic Drop Impact Breakup.JPG
Breakup of a water drop impacting a superhydrophobic surface at a Weber number of approximately 214.

By creating tapered surfaces with large spacing, the impacting droplet will exhibit the counterintuitive pancake bouncing, characterized by the droplet bouncing off at the end of spreading without retraction, resulting in ~80% contact time reduction. [10]

Significant drop deformation

As the Weber number increases, the drop deformation upon impact also increases. The drop deformation pattern can be split up into regimes based on the Weber number. [7]

  • At We << 1, there is not significant deformation.
  • For We on the order of 1, the drop experiences significant deformation, and flattens somewhat on the surface.
  • When We ~ 4, waves form on the drop.
  • When We ~ 18, satellite droplet(s) break off of the drop, which is now an elongated vertical column.
  • For large We (for which the magnitude depends on the specific surface structure), many satellite drops break off during spreading and/or retraction of the drop. [4]

On a wet solid surface

When a liquid drop strikes a wet solid surface (a surface covered with a thin layer of liquid that exceeds the height of surface roughness), either spreading or splashing will occur. [3] If the velocity is below a critical value, the liquid will spread on the surface, similar to deposition described above. If the velocity exceeds the critical velocity, splashing will occur and shock wave can be generated. [11] [12] Splashing on thin fluid films occurs in the form of a corona, similar to that seen for dry solid surfaces. Under proper conditions, droplet hitting a liquid interface can also display a superhydrophobic-like bouncing, characterized by the contact time, spreading dynamics and restitution coefficient independent of the underlying liquid properties. [13]

On a liquid surface

When a liquid drop strikes the surface of a liquid reservoir, it will either float, bounce, coalesce with the reservoir, or splash. [14] In the case of floating, a drop will float on the surface for several seconds. Cleanliness of the liquid surface is reportedly very important in the ability of drops to float. [15] Drop bouncing can occur on perturbed liquid surfaces. [14] If the drop is able to rupture a thin film of gas separating it from the liquid reservoir, it can coalesce. Finally, higher Weber number drop impacts (with greater energy) produce splashing. In the splashing regime, the striking drop creates a crater in the fluid surface, followed by a crown around the crater. Additionally, a central jet, called the Rayleigh jet or Worthington jet, protrudes from the center of the crater. [14] [16] If the impact energy is high enough, the jet rises to the point where it pinches off, sending one or more droplets upward out of the surface.

See also

Related Research Articles

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