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Phys. Fluids 19, 076601 (2007); http://dx.doi.org/10.1063/1.2742728 (6 pages)

Tornado-like flows a

a The original version of this paper was first reviewed before the author passed away (1997). A revised version, which was reviewed again and subsequently accepted for publication, was submitted posthumously by the author's daughter.
Chia-Shun Yih

University of Michigan, Ann Arbor, Michigan 48109-2125

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(Received 17 January 2007; accepted 20 April 2007; published online 5 July 2007)

Simple exact solutions for horizontal flows, with a stagnant funnel consisting of a lighter fluid and narrowing toward the ground, exhibit the main features of real tornadoes. The two-fluid model is quite robust, as it can be adapted to any vorticity distribution, any vertical stratification, and the effects of compressibility.

© 2007 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. THE TWO-FLUID MODEL
    1. The simplest solution for tornadoes
    2. Exact solution of air flow in a tornado
    3. Stratified tornadoes
    4. Finite tornadoes
    5. Curvilinear tornadoes
  3. CONCLUDING REMARKS

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1070-6631 (print)  
1089-7666 (online)

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