ESS227
Prof. Jin-Yi Yu
Applications
•For a barotropic fluid, Bjerknes circulation theorem can
be integrated following
the motion from an initial state (designated
by subscript 1) to a final state (designated by subscript 2), yielding the circulation change:
This
equation indicates that in a barotropic fluid the
relative circulation for a closed chain of fluid
particles will be changed if either the horizontal area enclosed
by the loop changes or the latitude changes.
divergence
effect
Coriolis
effect
Kelvin’s
circulation theorem