Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

There is an interesting issue of hydrodynamics: whirlpools.

I want to learn about the Lamb-Chaplygin dipole.

Lamb-Chaplygin dipole corresponds to a steady solution of the two dimensional Euler equations.

Can someone know where I can find a full development of Lamb-Chaplygin dipole?

share|cite|improve this question
up vote 1 down vote accepted

The following is relevant: V.V. Meleshko and G.J.F. van Heijst, "On Chaplygin's investigations of two-dimensional vortex structures in an inviscid fluid," J. Fluid Mech. 272, 157-182, 1994 . While their outline may be less than "full", their bibliography looks comprehensive.

share|cite|improve this answer
thank you, I just want to be sure. the solution is found in this document? – Alon Shmiel Jan 27 '13 at 22:42
Looks like that. – akhmeteli Jan 27 '13 at 23:28
thank you very much! is the answer found in all of the pages (220-230) or just between 220 to 226? – Alon Shmiel Jan 28 '13 at 7:55
I believe the answer is at pp. 219-225. The following commentary seems to add some details for the case of circular vortex motion, although this case is also handled in Chaplygin's paper, although briefly. – akhmeteli Jan 28 '13 at 13:21
thanks! you help me so much! – Alon Shmiel Jan 28 '13 at 13:34

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.