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Tornado-type Stationary Vortex with Nonlinear Term Due to Moisture Transport : Volume 4, Issue 1 (14/06/2010)

By Rutkevich, P. B.

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Book Id: WPLBN0003988305
Format Type: PDF Article :
File Size: Pages 6
Reproduction Date: 2015

Title: Tornado-type Stationary Vortex with Nonlinear Term Due to Moisture Transport : Volume 4, Issue 1 (14/06/2010)  
Author: Rutkevich, P. B.
Volume: Vol. 4, Issue 1
Language: English
Subject: Science, Advances, Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Rutkevych, P. P., & Rutkevich, P. B. (2010). Tornado-type Stationary Vortex with Nonlinear Term Due to Moisture Transport : Volume 4, Issue 1 (14/06/2010). Retrieved from

Description: Space Research Institute (IKI), RAS, Moscow, Russia. Tornado vortex is believed to be essentially nonlinear phenomenon; and the puzzle to choose the nonlinear term(s) responsible for its formation is still unresolved. In the present work we consider the nonlinear term associated with atmosphere humidity, by introducing variable temperature gradient depending on the vertical velocity of the fluid. Such term is able to yield energy to the system and is very suitable for such a problem. Other nonlinear terms are neglected, assuming slow rotation, or in other words a weak tornado approximation. We consider one-dimensional radial boundary problem, and use a modificaiton of shooting method to satisfy boundary conditions at large radii. Obtained numerical solutions of the nonlinear differential equation qualitatively agree with the observed atmosphere vortices (tornados, tropical cyclones). The obtained results show general possibility of existence of unstable motion even in convectively stable atmosphere stratification.

Tornado-type stationary vortex with nonlinear term due to moisture transport

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