Kinetic Helicity in the Earth's atmosphere

Abstract: An overview is given of the helicity of the velocity field (kinetic'' helicity to distinguish it from themagnetic'' helicity used in magnetohydrodynamics, astrophysics, and solar physics; or simply \emph{helicity} in this Chapter) and of the role, which this concept plays in the modern research in atmospheric physics and atmospheric turbulence. General information on helicity is presented including some historical comments and a brief description of the fundamental role that helicity plays in fluid dynamics. Different applications of the helicity concept are discussed to the analysis of various dynamic atmospheric processes, including applications to intense atmospheric vortices, such as tropical cyclones, tornadoes and dust devils, and also to Ekman boundary layer dynamics. Emphasized are helicity balance conditions and the important role that helicity fluxes play in their maintenance. Fundamentals of helical turbulence theory are briefly discussed, and then emphasis is placed on the helical properties of atmospheric turbulence within the atmospheric boundary layer. In particular, the pioneering effort of the research team from the Obukhov Institute of Atmospheric Physics (Moscow) to measure turbulent helicity in natural atmospheric conditions is described.