Machine-translated by Google. Questions are authored in English.
Top

Discussion

Which theorem connects circulation to the flux of vorticity?

  • A.Kelvin's theorem, which states that circulation is conserved for a barotropic frictionless fluid
  • B.Bjerknes' theorem
  • C.Ertel's theorem, which establishes the conservation of potential vorticity for adiabatic motion
  • D.Stokes' theorem

Answer: D

Stokes' theorem is the purely mathematical result that the line integral of a vector field around a closed curve equals the surface integral of its curl over any surface spanning that curve. Kelvin, Bjerknes and Ertel theorems are dynamical statements about how those quantities evolve. Distinguishing the mathematical identity from the physical theorems built upon it keeps the logic of this topic clear. Framing the question as which quantity the change acts upon makes the answer follow without calculation.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.