Can Turbulent Flow Be Predicted?

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Discussion Overview

The discussion revolves around the predictability of turbulent flow, particularly in a stochastic sense, and references mathematical proofs suggesting that under certain conditions, turbulent flow lines and vortices may adhere to a fractal law. The conversation includes links to research papers and a popular article related to the topic.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant presents mathematical proofs indicating that many turbulent flows can be predicted stochastically, suggesting a fractal nature to flow lines and vortices under specific conditions.
  • Links to research papers and a popular article are provided to support the claims made about turbulent flow predictability.
  • Some participants question whether there is a specific question being posed in the thread.
  • Another participant suggests that the discussion might be better suited for a forum focused on differential equations, given the mathematical nature of fluid flow equations.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the main focus of the discussion, with some questioning the presence of a specific question and others providing information without clear agreement on the topic's framing.

Contextual Notes

The discussion lacks a clear question or problem statement, which may limit the depth of exploration regarding the predictability of turbulent flow.

Tom.G
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TL;DR
Batchelor’s law proven, Turbulent flow, fluid dynamics
Mathematical proofs that many turbulent flows can be predicted at least in a stochastic sense. Under the right conditions, it turns out that the flow lines and vortices pretty much follow a fractal law.

Popular version:
https://www.quantamagazine.org/mathematicians-prove-batchelors-law-of-turbulence-20200204/

The research papers:
https://arxiv.org/abs/1809.06484
https://arxiv.org/abs/1905.03869
https://arxiv.org/abs/1911.01561
https://arxiv.org/abs/1911.11014

edit: spelling
 
Last edited:
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Is there a question?
 
mathman said:
Is there a question?
Nope.
Just an announcement for the interested, seemed like the best-fit forum for it.
I don't mind if you can suggest a better spot for the Mentors to move it to.
 
My recollection of fluid flow is that most of the equations are differenntial equations. That forum might be an alternative.
 

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