Discussion
Match each theorem with its content.
List I
A. Stokes
B. Kelvin
C. Ertel
List II
P. circulation conserved in a barotropic fluid
Q. circulation equals the flux of vorticity
R. potential vorticity conserved for adiabatic motion
Select the correct match.
Answer: C
Stokes' theorem is the mathematical identity relating circulation to the flux of vorticity, Kelvin's theorem is the dynamical statement of conservation in a barotropic fluid, and Ertel's theorem generalises conservation to stratified adiabatic flow. Bjerknes' theorem completes the family by giving the rate of change of circulation in the baroclinic case.
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