Nonconservation of circulation in a rotating turbulent fluid

Details Nonconservation of circulation in a rotating turbulent fluid Nonconservation of circulation in a rotating turbulent fluid

Nov 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981pzhtf...7.1300k&link_type=abstract

(Pis'ma v Zhurnal Tekhnicheskoi Fiziki, vol. 7, Nov. 12, 1981, p. 1300-1303.) Soviet Technical Physics Letters, vol. 7, Nov. 198

Physics

Coriolis Effect, Nonconservative Forces, Rotating Fluids, Turbulent Flow, Vortices, Angular Momentum, Flow Equations, Galactic Rotation, Kelvin-Helmholtz Instability

Scientific paper

It is shown that the turbulent Coriolis force generated by turbulent mass flow in a rotating fluid is responsible for the violation of the Helmholtz-Kelvin theorem through nonconservation of the circulation integral over a closed loop. The equation for the evolution of a complete vortex is derived, and the violation of the Helmholtz-Kelvin theorem is shown to be due to he redistribution of the angular momentum by the Coriolis force. This result bears on the origin of the rotation of galaxies, where the turbulent accretion of gas at the center increases the circulation of the orbital motion.

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