Related Experiment Video
Updated: May 5, 2026
08:34
Visualization of High Speed Liquid Jet Impaction on a Moving Surface
Published on: April 17, 2015
10.9K
Singularity dynamics in curvature collapse and jet eruption on a fluid surface
1Institute for Plasma Research and Department of Physics, The University of Maryland, College Park 20742, USA.
Nature
|February 10, 2000
Summary
Researchers studied fluid singularities, finding inertial focusing causes surface collapse and jet formation without fluid breakup. This phenomenon, described by a universal exponent, has broad applications in physics and fluid dynamics.
Area of Science:
- Fluid dynamics
- Nonlinear physics
- Physical chemistry
Background:
- Finite-time singularities, characterized by local divergences, appear in various physical systems like nonlinear optics and astrophysics.
- In fluid systems, singularities drive phenomena such as spray formation and air-bubble entrainment, impacting global air-sea interactions.
- Previous studies on singularities often focused on surface tension-driven phenomena in liquid break-up.
Purpose of the Study:
- To theoretically and experimentally investigate the generation of singularities through inertial focusing in fluid systems.
- To analyze the role of inertial forces in surface collapse and subsequent jet formation.
- To determine if surface profiles in such singularities can be described by a universal exponent, incorporating surface tension effects.
Main Methods:
- Theoretical modeling of fluid surface dynamics under inertial focusing.
- Experimental measurements of collapsing fluid surfaces.
- Analysis of surface profiles to identify universal scaling laws.
Main Results:
- Demonstrated that inertial focusing can generate a fluid singularity without surface break-up.
- Observed that inertial forces lead to surface collapse and jet formation.
- Experimental data closely matched theoretical predictions, supporting a universal exponent for surface profiles.
Conclusions:
- Inertial focusing is a novel mechanism for generating fluid singularities.
- The study reveals a universal exponent describing the collapsing surface profiles.
- The findings offer a generalized solution applicable to a wide range of singular phenomena in physics.
Related Concept Videos
01:15Divergence and Curl
3.3K
The divergence of a vector field at a point is the net outward flow of the flux out of a small volume through a closed surface enclosing the volume, as the volume tends to zero. More practically, divergence measures how much a vector field spreads out or diverges from a given point. For an outgoing flux, conventionally, the divergence is positive. The diverging point is often called the "source" of the field. Meanwhile, the negative divergence of a vector field at a point means that the vector...
3.3K
01:22Surface Tension of Fluid
1.9K
Surface tension is a fundamental property of fluids, occurring at the boundary between a liquid and a gas or between two immiscible liquids. This phenomenon arises from the cohesive forces between molecules at the fluid's surface, creating an effect similar to a stretched elastic membrane. Inside each fluid, molecules are equally attracted in all directions by neighboring molecules, but surface molecules experience a net inward force, resulting in surface tension.
Surface tension varies...
Surface tension varies...
1.9K
01:04Hydrostatic Pressure Force on a Curved Surface
1.5K
Hydrostatic pressure on curved surfaces is a fundamental concept in fluid mechanics with broad applications in the civil engineering field. When fluid is in contact with a curved surface, as in a reservoir, dam, or storage tank, it exerts pressure that varies in magnitude and direction along the curved surface. To assess the total hydrostatic force exerted by the fluid on a curved structure, engineers typically isolate the fluid volume adjacent to the surface and analyze the forces acting on...
1.5K
01:30Bernoulli's Equation for Flow Along a Streamline
1.6K
Bernoulli's equation relates the energy conservation in a fluid moving along a streamline. The equation applies to incompressible and inviscid fluids under steady flow. For such a flow, Newton's second law is applied to a small fluid element, which experiences forces due to pressure differences, gravity, and velocity variations. The force balance leads to the following form of Bernoulli's equation:
1.6K
01:14Free Jet
748
Free jets describe the flow of liquid exiting a reservoir through an opening into the atmosphere without resistance. The velocity (v) of the liquid jet is derived using Bernoulli's principle and expressed as:
748
01:28Irrotational Flow
1.3K
Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:
1.3K