A New Dual, Complex Wave/Particle Theoretical View of Viscous Flow Turbulence

The mechanics of turbulence in fluid flows is considered to be the most difficult theoretical problem of Physics. Present, most successful theories rely on a heavy statistical approach. It is experimentally well known, that, according to the rate of flow, there are two distinct regimes: laminar, with very ordered stream lines and turbulent, with a chaotic behavior of the fluid motions. The transition between these two regimes is characterized by a dimensionless Reynolds Number. In a tube, for example, the transition happens at Re=2100. In a falling film at Re=10. In the 2020 APS, Denver and Washington Meetings, I did present my own complex algebra Physics leading to a non relativist theory, expressing the dual de Broglie wave/particle as an entity with a complex mass: a real mass for the particle and an imaginary mass for the associated wave. Here I apply this new concept to fluid dynamics, thus extending Navier-Stockes equation toward Schrodinger’s equation. For falling films my approach yields a good prediction of the critical Reynolds Number and shows a metastability of laminar flow in tube due to confinement of the constrained fluid.\\ \\These results may open a path toward suprafluidity.