Abstract
This work addresses the thermodynamics of the initial formation (genesis) of
tornado-like vortices. In particular, it discusses how the thermodynamics of
discrete vortices in a two-dimensional (thin three-dimensional boundary) layer
drives the creation of ``hairpins,'' their two-dimensional rearrangement, and
stretching of vorticity in the vertical direction inside a turbulent boundary
layer that leads to a tornado-like flow. Turbulence of that process is analyzed
with the help of the vortex filament model and its connection to the fluid flow
equations via the Hasimoto and Madelung transforms of the nonlinear
Schr\"{o}dinger and Gross-Pitaevskii equations. Finally, a formula for the
non-equilibrium entropy flux associated with the development of two-dimensional
turbulence in the boundary layer is provided.