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In fluid mechanics, Helmholtz's theorems (pub. 1858) describe the motion of vortex lines and tubes in a fluid. These theorems apply to inviscid barotropic fluid under the influence of a conservative body force
Additional recommended knowledge
The three theorems state:
A corollary to the first law states that in an inviscid barotropic fluid, with conservative body forces, vortex lines and tubes must appear as a closed loop or extend to infinity or start/end at solid boundaries.
The theorems are now generally proven with reference to Kelvin's circulation theorem, however the Helmholtz's theorems were published nine years before the 1867 publication of Kelvin's theorem. There was much communication between the two men on the subject of vortex lines, with many references to the application of their theorems to the study of smoke rings.
|This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Helmholtz's_theorems". A list of authors is available in Wikipedia.|