A conjecture for turbulent flow

Abstract

In this paper, basing on a generalized Newtonian dynamics (GND) approach which has been proposed elsewhere we present a conjecture for turbulent flow. We firstly utilize the GND to reasonably unify the two phenomenological methods recently proposed of the water movement in unsaturated soils. Then in the same way a modified Euler equation (MEE) is yielded. Under a zero-order approximation, a simple split solution of the MEE can be obtained that shows flow fluids would have a velocity field with the power-law scaling feature (power-law fluid) for the case of high Reynolds number.