Talk:Kelvin's circulation theorem

From Wikipedia, the free encyclopedia
Jump to: navigation, search
WikiProject Physics / Fluid Dynamics  (Rated Start-class, High-importance)
WikiProject icon This article is within the scope of WikiProject Physics, a collaborative effort to improve the coverage of Physics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.
Start-Class article Start  This article has been rated as Start-Class on the project's quality scale.
 High  This article has been rated as High-importance on the project's importance scale.
This article is supported by Fluid Dynamics Taskforce.
 

The mathematical proof doesn't take into account that the contour is moving with the fluid. See for example the treatment in [1]. I would fix this myself but I dont feel sure enough yet.

Indeed; I was just coming here to post this myself. Also, Γ = Γ(t) do the derivative on it should be straight 'd' only. And what are the ω and Φ that appear suddenly? (It's also a bit worrying that baratropicity isn't used explicitly anywhere in the proof, and it would be nice to start the proof from a governing equation!)
Unfortunately, the cleanest way of proving it involves knowing how line elements translate in the flow, which is kind of assumed in your reference. Also the treatment there isn't quite as general as it could be, since ρ is assumed to be constant. I'll try and have a go at fixing things when I get a moment...
-- Rjw62 21:46, 18 July 2007 (UTC)
Now done :) -- Rjw62 22:44, 18 July 2007 (UTC)