An equation for vortex motion including effects of buoyancy and sources with applications to tornadoes

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National Aeronautics and Space Administration, 1970 - Nature - 62 pages
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A new equation is derived for the motion of vorticity in a general fluid, including the effects of viscosity, compressibility, nonhomogeneity, and nonconservative forces. The equation holds, in particular, for vortices which may not move with the fluid. A linearized form of this equation is applied to tornado cyclones and to the twin tornado of April 11, 1965, near Elkhart, Indiana. It is shown that the displacement of tornado cyclones to the right of the mean tropospheric winds may be accounted for by the upward efflux of fluid from the cyclone into the jet stream. Also, the retarded revolution rate of the twin tornado may be due in part to an attractive "buoyancy" force acting on the partially rarefied cores of the pair.

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Contents

SUMMARY
1
DERIVATION OF GENERAL EQUATION FOR MOTION OF VORTICITY
8
APPLICATIONS OF LINEARIZED EQUATION FOR VORTEX MOTION
19

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