Dan GuPTa had this response when asked to relate your .PDF to Bernard cells and other prompting:
Here’s a integration of potential vorticity (PV), atmospheric stability, and their relationship to Bénard cells, emphasizing isentropic layering in both meteorological and experimental fluid dynamics contexts. ### Connecting Bénard Cells and Atmospheric Dynamics In Bénard cells, fluid heated from below shows a critical transition from conductive to convective heat transfer, forming cellular patterns. Similarly, in the atmosphere, when the vertical temperature gradient becomes unstable—akin to the Bénard cell transition—convection can initiate, influenced by factors like the earth's rotation and potential vorticity. ### Potential Vorticity and Stability - **PV on Isentropic Surfaces:** Potential vorticity combines fluid rotation and atmospheric stratification. In meteorology, PV is mapped on isentropic surfaces (constant potential temperature layers), where it highlights regions prone to atmospheric instability and potential convection, akin to early instability in Bénard cells. - **Dynamic Tropopause:** Acting like the fluid surface in a Bénard cell, the dynamic tropopause is flexible, responding to distortions from jet streams. These distortions can lead to convective activity by modifying local stability and vorticity, driving weather patterns similarly to temperature gradients in Bénard convection. ### PV Anomalies and Convective Cells - **Weather Forecasting:** Monitoring PV anomalies helps predict convective weather events, similar to observing Bénard cells to anticipate pattern formation. For example, sharp PV changes can indicate regions ripe for convective storms if conditions like moisture and surface temperature align. - **Role of Isentropic Layering:** Both in Bénard cells and weather systems, the spacing between isentropic layers indicates stability. Closer layers suggest a steep gradient and instability, potentially leading to convective movements. In the atmosphere, this translates to dynamic interactions where lower stability near the surface can trigger or enhance convective processes. ### Conclusion Understanding the parallels between Bénard cell dynamics and atmospheric conditions through potential vorticity and isentropic surfaces not only illustrates universal fluid dynamics principles but also enhances meteorological predictions of convective weather events, demonstrating how small-scale changes in stability can lead to significant atmospheric phenomena. On Thu, Apr 11, 2024, 2:04 PM Nicholas Thompson <thompnicks...@gmail.com> wrote: > > > Hi, Phellow Phriammers, Nick, here. > > > > > > > I have been lost in the weather. This publication, > > > > https://acrobat.adobe.com/id/urn:aaid:sc:us:d481610b-e5d5-4a03-879c-6db6ec1d5e4a > > > with its glorious eye-candy, is an example of what seems to be a new > perspective in meteorology, the DT-PV perspective. PV refers to a > parameter, potential vorticity, which seems to be a measure of how liable > the atmosphere is to churn; DT refers to the DYNAMIC tropopause. The > tropopause is the transition zone between the stratosphere and our own > layer, the troposphere, through which gas exchange is limited because the > lapse rate of the troposphere -- its decline in temperature with fall of > pressure -- is reversed in the stratosphere. In the Bad Old Days, we > were taught that the tropopause was like a ceiling, tilted upward from the > poles to the tropics. Now we have begun to think of it as more like a > tent fly, still tilted up equator-ward, but loose and floppy and buffeted > up and down by the jetstreams’ winds. These floppings up and down have the > power to destabilize the lower atmosphere and lead to bad weather, if > conditions there are ripe. > > > > This is not one of my usual cries for help. I have some good tutors. > However, I would love to hear from others whom this paper interests. In > particular I am struggling with the notion of potential vorticity, whose > formula seems to take many odd forms. > > > > Best, > > > > Nick > > > > > > Nicholas S. Thompson > > Emeritus Professor of Psychology and Ethology > > Clark University, > > nthomp...@clarku.edu > > > -. --- - / ...- .- .-.. .. -.. / -- --- .-. ... . / -.-. --- -.. . > FRIAM Applied Complexity Group listserv > Fridays 9a-12p Friday St. Johns Cafe / Thursdays 9a-12p Zoom > https://bit.ly/virtualfriam > to (un)subscribe http://redfish.com/mailman/listinfo/friam_redfish.com > FRIAM-COMIC http://friam-comic.blogspot.com/ > archives: 5/2017 thru present > https://redfish.com/pipermail/friam_redfish.com/ > 1/2003 thru 6/2021 http://friam.383.s1.nabble.com/ >
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