Talk:Vortex

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Contents 1 Picture of a C-17 Globemaster's vortex 2 Hopf fibration 3 "free surface […] is a parabola" 4 Anyone know why this apparent anomaly?

[edit] Picture of a C-17 Globemaster's vortex

Here's a reference to a stunning photograph of a United States Air Force (USAF) C-17 Globemaster III Military Transport's with vortex/twin tornadoes/wake to consider adding to the article:

ChamorroBible.org, Fagualo (Octubre) 10, 2004, "Manguaeyayon na Palabran Si Yuus - God's Precious Words, with The Photograph of the Day". Photo is in the public domain. Main site URL: http://ChamorroBible.org (referenced as "ChamorroBible.org" or the "Chamorro Bible" WWW site).

http://ChamorroBible.org/gpw/gpw-20041010.htm

On the humorous side see http://forums.fark.com/cgi/fark/comments.pl?IDLink=1160585.

It is certainly a beautiful photograph. However, I don't think it would add anything to the article, as there are two images here already. Those with broadband tend to forget what loading these pages can be like for poor old dial-up users! Graham 00:11, 7 Dec 2004 (UTC)

[edit] Hopf fibration

I was wondering if there are solutions to fluid dynamics equations that "look like" or somehow involve Hopf fibrations? The Hopf fibration is interesting because it resembles, in many ways, a dipole. Its vortex-like structure should also be appearant from the picture; I was wondering if there was a deeper connection, beyond the superficial resemblance. For example, is there a soliton-like solution to eqns of fluid dynamics that resembles the Hopf fibration in some way? Sorry for the "advanced" question, but I am curious. linas 00:57, 2 July 2006 (UTC)

[edit] "free surface […] is a parabola"

I always thought it was a catenary. Isn't it? -- 88.134.21.88 14:36, 5 November 2006 (UTC)

Hmm, well IIRC, the variation in hydrostatic head (proportional to ρg dh/dr), provides the inward acceleration (proportional to ρrω*ω) - so no. Linuxlad 15:06, 5 November 2006 (UTC)

[edit] Anyone know why this apparent anomaly?

a vortex that involves no shear and so does not require a force to maintain, is called 'forced', whereas a 'free' vortex involves shear so would require some force to keep going. Asplace 01:18, 14 April 2007 (UTC)