Solution to Navier-Stokes equations for turbulent channel flows

Abstract

In this article, we continue the work done in [11] for turbulent channel flows described by the Navier-Stokes and the Navier-Stokes-alpha equations. We study non-stationary solutions in special function spaces. In particular, we show the term representing the sum of pressure and potential is harmonic in the space variable. We find an optimal choice for the function class.