Discussion of the state of art on the application of the Ertel's potential vorticity theorem in atmospheric physics & physical oceanography.
Prof. H. Ertel generalized Rossby's work proposal of 1939. Prof. Rossby firstly proposed that instead of the full three-dimensional vorticity vector, the local vertical component of the absolute vorticity is the most important component for large-scale atmospheric flow.
Via an independent paper published in 1942, Prof. Ertel identifying a conserved quantity following the motion of an air parcel proved that a certain quantity called the Ertel potential vorticity is also conserved for an idealized continuous fluid.
https://en.wikipedia.org/wiki/Potential_vorticity
Several links to check on the topic powered by ResearchGate:
Article Small-Scale Potential Vorticity in the Upper Ocean Thermocline
Article Ertel's potential vorticity theorem in physical oceanography
Article Ertel's potential vorticity and thermodynamic processes
Article Ertel's potential vorticity as a climate variable
Article In Defense of Ertel's Potential Vorticity and Its General Ap...
Article In Defense of Ertel's Potential Vorticity and Its General Ap...
Article Generalization of Ertel's potential vorticity to a moist atmosphere
Thanks for the replay Dr. Guillermo Auad
Indeed, you are right. I should add: the Ertel theorem for non-adiabatic flows.
Ertel's theorem specifies the dynamical evolution of potential vorticity. ... For ideal one‐component fluids, potential vorticity is materially conserved, that is, it is conserved when a particle of fluid is followed as its location changes, which is a powerful constraint for analyzing fluid motion.
https://agupubs.onlinelibrary.wiley.
Thank you very much for your contribution to the thread Dr Nirmala. Regards
Dear readers, the following paper
Article Modified Ertel’s Potential Vorticity as a Climate Variable
is an interesting one for the thread, I will read it the following weeks.
Dear ResearchGate thread participants; P. Contreras hopes that you all are in good health.
Internet connectivity was finally powered off in Pedro's town by chavista regime, last Friday May 23rd at midnight.
Pedro apologize's, he won't be able to coach this thread for some time, however feel free to carry on with the discussion and stay tuned.
God bless & protect you all. Thanks so much.
Happy trip to the galaxies Dear Professor Miguel. I thank you for teaching fluid mechanics to several Venezuelan generations of physicists. We will meet one day again!
Article ENTROPY-VORTEX WAVES in NON-ADIABATIC FLOWS
I wish some specialists could kindly comment on the following paper´s subject:
"...The Ertel theorem on the vorticity along the flow of adiabatic fluids is generalized for non-adiabatic flows. Several limiting cases are analyzed and the results are applied to flows behind different hydrodynamics fronts, particularly to thermal fronts (heat and cooling fronts). An important conclusion of the present analysis is that vorticity is inherent in the condensation's (or hot spots) formation by thermal instabilities in plasma flows. Implications for several astrophysical plasmas are outlined...".
Prof M. Ibañez worked so hard on this topic until the very end of June 2020.
Article ENTROPY-VORTEX WAVES in NON-ADIABATIC FLOWS
Hi. I hope the following link might help you;
https://courses.physics.ucsd.edu/2019/Winter/physics116_216/muller95_W17.pdf
Thank you so much, Prof. Aref Wazwaz, I will check the file.
Best Regards.
A very complete review on Ertel potential vorticity theorem, thank you for suggesting its reading, Prof. Aref Wazwaz .
Article Ertel's potential vorticity theorem in physical oceanography
Best Regards.
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