On the solutions of Navier-Stokes equations for turbulent channel flows in a particular function class

Abstract

In this paper, we continue the discussion as done in CTZ15 on turbulent channel flow described by the Navier-Stokes model and the Navier-Stokes-alpha model. We study the non-stationary solutions for the Navier-Stokes equations and Navier-Stokes-α model having particular function forms. In particular, the term of sum of pressure and potential can be shown to be harmonic in the space variable.

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