Abstract
An account is given of theoretical hydrodynamic models for the behavior of vortices with axially varying rotation rates. For purposes of illustration, two flow classes are considered: radically unbounded solid body-type vortices; and vortex cores of finite radius embedded within radially decaying vortex profiles. For the first type of flows, the von Karman-Bodewadt similarity principle is applied and new exact solutions of the nonlinear Euler equations obtained. For the second class of vortex flows, a linear analysis of the Euler equation is employed. This linear solution describes the formation of a central updraft and an annular downdraft ringing the periphery of the vortex core.
Original language | English (US) |
---|---|
Pages (from-to) | 1101-1122 |
Number of pages | 22 |
Journal | Journal of the Atmospheric Sciences |
Volume | 56 |
Issue number | 9 |
DOIs | |
State | Published - May 1 1999 |
All Science Journal Classification (ASJC) codes
- Atmospheric Science