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Which term does Bjerknes add to Kelvin's theorem?

  • A.A tilting term, which converts horizontal vorticity into the vertical by differential vertical motion
  • B.The solenoidal term
  • C.A frictional term, which represents the dissipation of circulation by turbulent stresses in the fluid
  • D.A divergence term

Answer: B

Bjerknes showed that in a baroclinic fluid the circulation around a material loop changes at a rate given by the integral of the solenoidal term, which is non-zero wherever pressure and density surfaces intersect. That term is what creates circulation from a state of rest, as in a sea breeze. Friction, divergence and tilting appear in the vorticity equation rather than in the circulation theorem. Framing the question as which quantity the change acts upon makes the answer follow without calculation.

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