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Approach to the origin of turbulence on the basis of two-point kinetic theoryEquations for the fluctuation correlation in an incompressible shear flow are derived on the basis of kinetic theory, utilizing the two-point distribution function which obeys the BBGKY hierarchy equation truncated with the hypothesis of 'ternary' molecular chaos. The step from the molecular to the hydrodynamic description is accomplished by a moment expansion which is a two-point version of the thirteen-moment method, and which leads to a series of correlation equations, viz., the two-point counterparts of the continuity equation, the Navier-Stokes equation, etc. For almost parallel shearing flows the two-point equation is separable and reduces to two Orr-Sommerfeld equations with different physical implications.
Document ID
19740048703
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Tsuge, S.
(NASA Ames Research Center Moffett Field, Calif., United States)
Date Acquired
August 7, 2013
Publication Date
January 1, 1974
Publication Information
Publication: Physics of Fluids
Volume: 17
Subject Category
Fluid Mechanics
Accession Number
74A31453
Distribution Limits
Public
Copyright
Other

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