Wind Power Limitations Associated with Vortices

This is the authors' abstract. We don't add key points for this paper.

The total pressure dissipation inside vortices due to viscous shear has been analyzed. The reduced level of the total pressure flux of the flow inside a vortex has an adverse effect on all vortex-ingesting wind machines. The Betz limit of wind turbines ingesting the vortex generated by an airfoil has been computed and is nondimensionalized using the area of the vortex generator. The vacuum-pumping ability of vortices is also limited. The Betz-type limit for wind turbines exhausting into the core of a vortex has been computed for both wingtip and tornado-tower-type vortex generators. The energy required to eliminate a tornado has been computed.