Nature of votexes and whirlpools

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Vortexes are prevalent in nature, observed in phenomena ranging from draining water to the formation of galaxies. The discussion highlights the curiosity surrounding their nature and whether a specific formula exists to explain these occurrences. Participants reference informative articles, particularly from Wikipedia, which provide extensive insights into vortex behavior and related concepts like wake turbulence. The conversation emphasizes the complexity and ubiquity of vortexes in various natural systems. Understanding these patterns continues to intrigue many, reflecting a broader interest in the underlying physics.
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This may come off as worded odd. However, what is the nature of vortexes? they seem to be an apparent part of nature everywhere. From pulling a plug on a drain to the shape of solar systems and galaxies. Is there a specific formula which accounts for this phenomena. It's something that has always perplexed and interested me.

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