  Ideas and theories of turbulence based on modifying the Navier-Stokes
equation, to obtain equilibrium and non-equilibrium time-reversible dynamical
ensembles relevant to helical turbulence, are presented. Discussions of
controlling helicity to control the aerodynamic force, heat and noise are
presented, together with the compressible turbulence relevant statistical
mechanics analysis. A helical time-reversible system for nonequilibrium
dynamical ensemble is constructed. Applications are also remarked.
