https://arxiv.org/abs/2206.12382 A critical analysis of the a | bioreg

https://arxiv.org/abs/2206.12382

A critical analysis of the assumptions underlying the formulation of maximum potential intensity for tropical cyclones
Anastassia M. Makarieva, Andrei V. Nefiodov
Emanuel's concept of maximum potential intensity (E-PI) estimates the maximum velocity of tropical cyclones from environmental parameters assuming hydrostatic and gradient-wind balances in the free troposphere. At the point of maximum tangential wind, E-PI's key equation relates proportionally the centrifugal acceleration (squared maximum velocity divided by radius) to the radial gradient of saturated moist entropy. The proportionality coefficient depends on the outflow temperature. Here it is shown that a different and more general relationship between the same quantities derives straightforwardly from the gradient-wind balance and the definition of entropy, with the proportionality coefficient depending on the radial gradient of local air temperature. From the two equations combined it follows (1) that the E-PI maximum intensity is proportional to the radial gradient of local air temperature at the point of maximum tangential wind and (2) that for the E-PI maximum intensity to be positive, the air temperature must increase towards the storm center. At the same time, it is shown that the hydrostatic and gradient-wind balances dictate the opposite, namely that at the point of maximum tangential wind the air temperature must decline towards the storm center. Since both the hydrostatic and gradient-wind relations and the definition of moist entropy are pre-requisite for the derivation of E-PI, these results indicate that E-PI does not have solutions under observed atmospheric conditions.
Comments: Continued from arXiv:2101.06500. Reply to three reviewers can be found in appendix B. 25 pages, 1 figure
Subjects: Atmospheric and Oceanic Physics (physics.ao-ph); Fluid Dynamics (physics.flu-dyn)