On the solutions of Navier-Stokes equations for turbulent channel flows in a particular function class
Analysis of PDEs
2018-10-24 v1 Mathematical Physics
math.MP
Abstract
In this paper, we continue the discussion as done in \cite{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- 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.
Keywords
Cite
@article{arxiv.1810.09552,
title = {On the solutions of Navier-Stokes equations for turbulent channel flows in a particular function class},
author = {J. Tian and B. Zhang},
journal= {arXiv preprint arXiv:1810.09552},
year = {2018}
}