Title

Fractal powers in Serrin’s vortex solutions

Department/School

Mathematics

Date

1-1-2014

Document Type

Article

Keywords

Serrin's swirling vortex, Navier–Stokes equations, Euler equations, Cai's power law, tornado modeling

DOI

https://doi.org/10.3233/ASY-141228

Abstract

We consider a modification of the fluid flow model for a tornado-like swirling vortex developed by Serrin [Phil. Trans. Roy. Soc. London, Series A, Math & Phys. Sci. 271(1214) (1972), 325–360], where velocity decreases as the reciprocal of the distance from the vortex axis. Recent studies, based on radar data of selected severe weather events [Mon. Wea. Rev. 133(9) (2005), 2535–2551; Mon. Wea. Rev. 128(7) (2000), 2135–2164; Mon. Wea. Rev. 133(1) (2005), 97–119], indicate that the angular momentum in a tornado may not be constant with the radius, and thus suggest a different scaling of the velocity/radial distance dependence.

Published in

Asymptotic Analysis

Citation/Other Information

Bělík, P., Dokken, D. P., Scholz, K. & Shvartsman, M. M. (2014). Fractal powers in Serrin’s swirling vortex solutions. Asymptotic Analysis, 90(1-2), 53–82. https://doi.org/10.3233/ASY-141228

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