Towards the development of analytical tornado-like models

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Abstract

In this paper, we analyze and develop modifications to two well-known analytical
tornado-like models. First, the vortex sink with axial flow (VSAF) model is compared with results obtained from the vortex generator. It is shown that in a cylindrical coordinate system a secondary circulation at the tornado corner region can be responsible for structural discrepancies and vorticity distribution. A tangential velocity field is implemented in the VSAF model to predict an experimental distribution. A novel model is proposed to capture the secondary circulation. A modified model of the VSAF is introduced with piecewise-constant coefficients that enables to predict a shape of a tornado vortex. Further scaling analysis confirms dimensional similarity of tornadoes. The VSAF model is also modified using a Boussinesq-like approximation to take into account the effect of a buoyancy force within a tornado. Finally, the two-fluid model by Yih is used to show the influence of the atmospheric stratification on the radius of tornado.

Bibliographical metadata

Original languageEnglish
JournalAIP Advances
Volume8
Issue number12
DOIs
Publication statusPublished - 5 Dec 2018

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