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 |
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All Science Journal Classification (ASJC) codes
- Atmospheric Science
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Dynamics of elevated vortices. / Shapiro, Alan; Markowski, Paul.
In: Journal of the Atmospheric Sciences, Vol. 56, No. 9, 01.05.1999, p. 1101-1122.Research output: Contribution to journal › Article
TY - JOUR
T1 - Dynamics of elevated vortices
AU - Shapiro, Alan
AU - Markowski, Paul
PY - 1999/5/1
Y1 - 1999/5/1
N2 - 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.
AB - 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.
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U2 - 10.1175/1520-0469(1999)056<1101:DOEV>2.0.CO;2
DO - 10.1175/1520-0469(1999)056<1101:DOEV>2.0.CO;2
M3 - Article
AN - SCOPUS:0033133357
VL - 56
SP - 1101
EP - 1122
JO - Journals of the Atmospheric Sciences
JF - Journals of the Atmospheric Sciences
SN - 0022-4928
IS - 9
ER -