in the Physical-plus-eddy Space

by **Shunichi Tsuge**

TARA Center, University of Tsukuba, Japan

A unique form of turbulent-transport equations is derived based on first principles. The role of nonequilibrium statistical mechanics employed to describe the phenomenology is that it enables to single out the unique form consistent with master equation of Liouville, a prerequisite not met with existing equations for turbulence modeling. The equation is variable-separated to yield a Navier-Stokes equation in 6D(physical-plus-eddy) space with homogeneous boundary conditions. Turbulent transports such as Reynolds' stress are calculated using a solution of this equation; a solitary-wave function. Satisfactory agreement is observed with existing experiment for mixing shear layer of incompressible flows although no empirical constants are involved.

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**METHODOLOGY**

**PRESENT THEORY**

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