Falling stream of water > individual droplets

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    Falling Stream Water
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SUMMARY

The discussion focuses on determining the conditions under which a stream of water breaks apart into individual droplets due to gravity and surface tension. Key concepts include Bernoulli's principle for calculating stream diameter and Rayleigh instability, which governs the breakup of the stream. The definitive reference for this topic is Chandrasekhar's book "Hydrodynamic and Hydromagnetic Stability." Surface tension is identified as the primary force driving the jet breakup.

PREREQUISITES
  • Understanding of Bernoulli's principle
  • Familiarity with Rayleigh instability
  • Knowledge of fluid dynamics
  • Basic concepts of surface tension
NEXT STEPS
  • Study "Hydrodynamic and Hydromagnetic Stability" by Chandrasekhar
  • Research the mathematical modeling of jet dynamics
  • Explore experimental methods for observing droplet formation
  • Investigate applications of Rayleigh instability in engineering
USEFUL FOR

Fluid dynamics researchers, engineers working with spray technologies, and anyone interested in the physics of droplet formation will benefit from this discussion.

ab500
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Hi,

I'm looking at finding a way to determine when a stream of water of a certian diameter coming from a hole at a certian pressure will break apart due to gravity and surface tension into discrete droplets.

Bernoulli's principle can give me the diameter of the stream at various times but I don't know what exactly governs the breaking apart of the stream into droplets.

Any help?
 
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Look into "Rayleigh instability."
 
This problem (jet dynamics) is very old, and a definitive presentation is in Chandrasekhar's book "hydrodynamic and hydromagnetic stability" (Dover). Surface tension drives the jet breakup.
 

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