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Which quantity is conserved in the absence of friction and heating in a barotropic flow?

  • A.The horizontal speed of the parcel, since no force is acting along its direction of travel then
  • B.Pressure
  • C.The height of the parcel above the surface, since there is nothing left to make it rise or fall
  • D.Absolute vorticity

Answer: D

For frictionless barotropic flow the absolute vorticity, the sum of relative and planetary vorticity, follows the parcel unchanged. This single conservation law explains the meandering of the upper westerlies and the propagation of Rossby waves. Speed changes because the pressure gradient force generally has a component along the flow, pressure changes as the parcel moves, and vertical motion is entirely possible in a frictionless adiabatic flow.

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