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Excess Pressure Inside a Drop and a Bubble01:13

Excess Pressure Inside a Drop and a Bubble

The shape of a small drop of liquid can be considered spherical, neglecting the effect of gravity. This drop can further be considered as two equal hemispherical drops put together due to surface tension. The forces acting on the spherical drop are due to the pressure of the liquid inside the drop, the pressure due to air outside the drop, and the force due to the surface tension acting on the two hemispherical drops.
Pressure of Fluids01:14

Pressure of Fluids

There are many examples of pressure in fluids in everyday life, such as in relation to blood (high or low blood pressure) and in relation to weather (high- and low-pressure weather systems). A given force can have a significantly different effect, depending on the area over which the force is exerted. For instance, a force applied to an area of 1 mm2 has a pressure that is 100 times greater than the same force applied to an area of 1 cm2. That's why a sharp needle is able to poke through skin...
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Accelerating Fluids

When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
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Pressure Variation in a Fluid at Rest01:11

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In a fluid at rest, the pressure at any point beneath the fluid surface depends solely on the depth, not on the container's shape or size. This principle, known as hydrostatic pressure, arises because, in stationary fluids, there is no acceleration, meaning the forces within the fluid balance out. Only vertical forces, caused by the weight of the fluid above, contribute to pressure changes with depth.
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Surface Tension, Capillary Action, and Viscosity02:57

Surface Tension, Capillary Action, and Viscosity

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The various IMFs between identical molecules of a substance are examples of cohesive forces. The molecules within a liquid are surrounded by other molecules and are attracted equally in all directions by the cohesive forces within the liquid. However, the molecules on the surface of a liquid are attracted only by about one-half as many molecules. Because of the unbalanced molecular attractions on the surface molecules, liquids contract to form a shape that minimizes the number...
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Fast Imaging Technique to Study Drop Impact Dynamics of Non-Newtonian Fluids
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Published on: March 5, 2014

Dynamics of squeezing fluids: clapping wet hands.

Sean Gart1, Brian Chang, Brice Slama

  • 1Department of Engineering Science and Mechanics, Virginia Tech, Blacksburg, Virginia 24061.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 17, 2013
PubMed
Summary

Squeezing fluids rapidly ejects threads and droplets. This study reveals how rim instability and capillary forces lead to sparse droplet formation, differing from known splash phenomena.

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Area of Science:

  • Fluid Dynamics
  • Physics of Soft Matter
  • Experimental Physics

Background:

  • Fluid compression, such as during hand clapping, generates splashes.
  • Previous studies on splashes include transient crown splashes and continuous water bells.

Purpose of the Study:

  • To experimentally observe and analyze the process of fluid thread and droplet formation after squeezing.
  • To compare experimental data with theoretical models across different stages of the phenomenon.

Main Methods:

  • Laboratory experiments were designed to visualize fluid ejection after compression.
  • Measurements were compared with theoretical models covering early, intermediate, and late stages.
  • Analysis focused on rim dynamics and droplet break-up.

Main Results:

  • A rim forms at the outer edge of the expanding fluid sheet.
  • This rim becomes unstable and breaks into smaller droplets.
  • Droplet spacing is determined by initial capillary instability and remains constant during rim expansion, resulting in sparse droplet distribution.

Conclusions:

  • The observed droplet formation mechanism differs from known splash types due to transient fluid feeding and rim dynamics.
  • The study elucidates the interplay of lubrication forces, gravity, inertia, drag, and surface tension in rim formation and break-up.
  • Final ejected droplets are sparsely distributed due to stable capillary instability during rim expansion.