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nluigi
nluigi
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Edit: please see duplicate answers as well

This iscould be a well-known hydrodynamic instability known as the Rayleigh-Plateau instability.

In short, liquids, because of surface tension at the liquid-gas interphase, tend to minimize their surface area. A liquid column of volume $V$ always has a larger surface area than $n$ droplets of volume $V/n$.

As it turns out the length at which point the liquid column will start to break up is found by the heuristic: $$\kappa R_0 \approx 0.697$$ where $\kappa$ is the wave number and $R_0$ is the initial radius of the column.

This is a well-known hydrodynamic instability known as the Rayleigh-Plateau instability.

In short, liquids, because of surface tension at the liquid-gas interphase, tend to minimize their surface area. A liquid column of volume $V$ always has a larger surface area than $n$ droplets of volume $V/n$.

As it turns out the length at which point the liquid column will start to break up is found by the heuristic: $$\kappa R_0 \approx 0.697$$ where $\kappa$ is the wave number and $R_0$ is the initial radius of the column.

Edit: please see duplicate answers as well

This could be a hydrodynamic instability known as the Rayleigh-Plateau instability.

In short, liquids, because of surface tension at the liquid-gas interphase, tend to minimize their surface area. A liquid column of volume $V$ always has a larger surface area than $n$ droplets of volume $V/n$.

As it turns out the length at which point the liquid column will start to break up is found by the heuristic: $$\kappa R_0 \approx 0.697$$ where $\kappa$ is the wave number and $R_0$ is the initial radius of the column.

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nluigi
nluigi
  • 3.5k
  • 1
  • 14
  • 23

This is a well-known hydrodynamic instability known as the Plateau-Rayleigh-Plateau instability.

In short, liquids, because of surface tension at the liquid-gas interphase, tend to minimize their surface area. A liquid column of volume $V$ always has a larger surface area than $n$ droplets of volume $V/n$.

As it turns out the length at which point the liquid column will start to break up is found by the heuristic: $$\kappa R_0 \approx 0.697$$ where $\kappa$ is the wave number and $R_0$ is the initial radius of the column.

This is a well-known hydrodynamic instability known as the Plateau-Rayleigh instability.

In short, liquids, because of surface tension at the liquid-gas interphase, tend to minimize their surface area. A liquid column of volume $V$ always has a larger surface area than $n$ droplets of volume $V/n$.

As it turns out the length at which point the liquid column will start to break up is found by the heuristic: $$\kappa R_0 \approx 0.697$$ where $\kappa$ is the wave number and $R_0$ is the initial radius of the column.

This is a well-known hydrodynamic instability known as the Rayleigh-Plateau instability.

In short, liquids, because of surface tension at the liquid-gas interphase, tend to minimize their surface area. A liquid column of volume $V$ always has a larger surface area than $n$ droplets of volume $V/n$.

As it turns out the length at which point the liquid column will start to break up is found by the heuristic: $$\kappa R_0 \approx 0.697$$ where $\kappa$ is the wave number and $R_0$ is the initial radius of the column.

Source Link
nluigi
nluigi
  • 3.5k
  • 1
  • 14
  • 23

This is a well-known hydrodynamic instability known as the Plateau-Rayleigh instability.

In short, liquids, because of surface tension at the liquid-gas interphase, tend to minimize their surface area. A liquid column of volume $V$ always has a larger surface area than $n$ droplets of volume $V/n$.

As it turns out the length at which point the liquid column will start to break up is found by the heuristic: $$\kappa R_0 \approx 0.697$$ where $\kappa$ is the wave number and $R_0$ is the initial radius of the column.