Issues of Paradigmatic Nature of the Turbulence Origin

The fluid such as deformable continuum, without own shape its motion, must be guided by some physical surfaces/boundaries, which are subjected to an action from fluid under the form of the wall pressure, equal to the reaction of the boundaries on the fluid. The fundamental law of equal action and reaction was easily misleading by assuming that the wall pressure is equal to the static pressure on the main motion. This result, known as Prandtl’s hypothesis associated to the concept of a Newtonian fluid, i.e. viscous fluid obeying to a linear law of frictional shear stress and constant viscosity, could resolved the no-drag crisis (d’Alembert’s paradox) and has dominated the paradigmatic development in research of Fluid Dynamics during the last century. However, the motions fluctuating in a disordered manner observed experimentally by Reynolds and known as turbulent/noisy motions or simply turbulence remain a physical and mathematical problem unsolved/nebulous up to the present. Indeed, the heaviest and most ambitious armory from theoretical physics and mathematics was tried for the last fifty years, but without much success: genuine turbulence, i.e. the big T (turbulence) – problem remains further as a new crisis/paradox. The physical/mathematical problems of turbulence being ones of paradigmatic nature concerning the behavior of flows close to boundaries, in this paper we propose a different approach of the fluid-boundary contact problem, i.e. a new law for the wall-bounded flows, complying better with the action-reaction law, responsible for most controversial aspects of turbulence