Special Session 84: Recent developments in understanding of nonlinear phenomena in fluid dynamics, biology, statistical mechanics and optics

Turbulence via intermolecular potential

Rafail Abramov
University of Illinois at Chicago
USA
Co-Author(s):    
Abstract:
I will explain how turbulence develops in compressible flows at low Mach and high Reynolds numbers. There are two key conditions which have been overlooked in the conventional Navier--Stokes equations: first, the mean field effect of an intermolecular potential, and, second, compatibility of the pressure equation with convection. Once these two effects are accounted for, turbulence in my model emerges spontaneously from small fluctuations just like it does in nature. I will also show results of numerical simulations which support my hypothesis.