A modified general model of tropical cyclones

Abstract The quest for rapid intensification of cyclones led Kieu and Zhang (2009) to the conclusion that double exponential terms in azimuthal velocity in the outer region near the core of cyclone are at least one of the reasons for rapid intensification in cyclones. Unlike a particular form of viscosity, Pandey and Maurya (2020) arrived at a similar conclusion for the general form of viscosity. However, both groups of researchers had ignored the fact that radial velocity which is the main source of genesis, of course, once it transforms to rotation, is resisted by the sea surface. The radial velocity constrained by the no-slip condition on the lowest level transforms the results significantly and drastically as well. The vertical profile of the radial pressure shows a rapid decrease in comparison to that predicted by previous models. It depends on the radius and the Reynolds number, too. Unlike the predictions of the earlier models, which claim to have maximum azimuthal velocity at some height above the sea surface, we find that it is maximum near the sea surface and gradually declines with height inside region 1 which experiences vertical transport. Outside of it, i.e. region 2 with no vertical transport, the pattern of the azimuthal velocity is similar to earlier inferences but with quantitative differences. In addition, the wind rotation initially increases with height but soon begins to decrease with altitude. Above a certain height some additional tendencies are observed, which we ignore for the reason that gradient wind balance does not hold at high altitudes.