State function Φ(U,E,t): connection of advection, dispersion and turbulence in natural streams at dynamic equilibrium

Abstract

The Navier-Stokes equation has been a standard of calculus in hydrodynamics; however, its conceptual and computational problems make it necessary to look for better alternatives. One of the causes of this failure is that it is a "reductionist" model, which does not involve the emergence of new laws at other scales. In this article, a different model is presented in detail, based on a State Function, with clear advantages, since it involves mechanisms at all levels, respecting the principle of "breaking temporal symmetry", according to irreversible thermodynamics.