A theoretical method for the inhomogeneity effect of turbulent flow

Abstract

        In this article, we have proposed a tentative method to analyze the inhomogeneity effect of the turbulent flow in theoretical way. The method is based on the Two-scale DIA (TSDIA) and Mean-Lagrangian Two-Scale Renormalization (MLTSR), which are those of few theoretical methods for inhomogeneous turbulent flow. With this new method we have calculated the Reynolds stress as a concrete example following the MLTSR and confirmed that it can successfully produces the inhomogeneity effects which are peculiar to the inhomogeneous turbulent flow.[This abstract is not included in the PDF]