Conservation of angular momentum in coriolis generated tornado funnel

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Discussion Overview

The discussion revolves around the conservation of angular momentum in the context of Coriolis-generated tornado funnels and water funnels created by draining sinks. Participants explore the implications of increasing angular velocities with decreasing radii and seek clarification on the observed phenomena.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant observes that the increasing angular velocities of water with reduced radii appear to contradict the law of conservation of angular momentum.
  • Another participant introduces the equation L=mvr, suggesting that if mass is constant and velocity increases due to gravity, the radius must decrease over time, which aligns with their visualization of a vortex.
  • A third participant provides a link to an external resource regarding Coriolis effects, indicating a potential misunderstanding of the original post's experimental setup.
  • A later reply clarifies that the initial participant may have envisioned an experimental setup involving a rotating tub to study vortices with known parameters.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and interest in the topic, but no consensus is reached regarding the implications of angular momentum conservation in this context. Multiple viewpoints and interpretations remain present.

Contextual Notes

There are potential limitations in the assumptions made regarding mass constancy and the effects of gravity on the system. The discussion does not resolve the mathematical or conceptual intricacies involved.

Who May Find This Useful

Individuals interested in fluid dynamics, vortex behavior, and the application of conservation laws in physics may find this discussion relevant.

carl fischbach
After careful observation of tornado funnels and
coriolis generated water funnels of draining sinks
the increasing angular velocities of the water
with reduced radii is greater than allowed for
by the law of conservation of angular momentum.
Could someone shed some light on this situation
for me.
 
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I don't know, I've never heard of this, I think it is very interesting. If I remember correctly, L=mvr. And if we assume m is constant, and (the absolute value of) v is increasing due to gravity, then the derivative of the radius as a function of time should be a negative constant (indicating a constant decrease in radius). When I visualize this, it seems to correlate nicely with the picture of a vortex in my head. Please post everything you know, though actual data may be a bit much to type up. Regardless of what anyone says in this thread, I'm going to look into this, I find vorticies fascinating.
 
Last edited:
Good point, I misunderstood what he was saying. I thought he had an experimental setup of a tub (w/ hole) mounted to the rim of a lazy susan type of thing, that way he could reliably get vorticies of known angular velocity, size, etc., given the angular velocity of the lazy susan thing, radius of said thing, etc..
 

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