A Solitary-wave Representation of Turbulence
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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            Other abstracts available on the Internet - Click to see any of the followings:

  Solitary-wave Solution of Turbulence with Application to Benard Convection
  First principle basis of the direct numerical simulation for turbulence of inert and reactive gases
  A solitary-wave representation of turbulence in the physical-plus-eddy space
  Coherent solitary-wave of mixing layer turbulence in the physical-plus-eddy space
  A New Hierarchy System on the Basis of a Master Boltzmann Equation for Microscopic Density
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Or directly obtain the sources by visiting the following URLs:


FOR Title : First principle basis of the direct numerical simulation for turbulence of inert and reactive gases
Location : http://xxx.lanl.gov/abs/chao-dyn/9712020
FOR Title : A solitary-wave representation of turbulence in the physical-plus-eddy space
Location : http://xxx.lanl.gov/abs/chao-dyn/9803013

FOR Title : Coherent solitary-wave of mixing layer turbulence in the physical-plus-eddy space
Location : http://xxx.lanl.gov/abs/chao-dyn/9803035

For further information: STachibana@lbl.gov

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