Theoretical tornado vortex model for nuclear plant design

Abstract

A simplified tornado vortex model is defined using fluid dynamics theory. Beginning with the Navier—Stokes equations of motion for an incompressible fluid and simplifying in a way consistent with a tornado wind field, develops the well-known cyclostrophic wind equation referred to by Hoecker and another equation which defines the tangential velocity profile. Together, they define a simplified tornado vortex model of which the Rankine and Hoecker vortices are special cases. Practical implications of the results obtained are discussed.