Some Basic Laws of Isotropic Turbulent Flow Page: 2 of 37
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NATIONAL ADVISORY COMMITTEE FOR AERONAUTICS
TECHNICAL MEMORANDUM NO, 1079
SOME BASIC LAWS 0O ISOTROPIC TURBULENT FLOWS
By L. G. Loitaianukit
An investigation is made of the diffusion of artifi-
cially produced turbulence behind screens or other turbu-
lence producers. After defining the fundamental assumptions
underlying the statistical turbulence theory more accurately,
the author proposes a method that permits investigation of
the dffusion of turbulent disturbances of finite scale in
place of the "point source" disturbances considered by Von
Karai.. The method is based on the author's concept of
"d4rtuubance moment" as a certain theoretically well-founded
measure of turbulent disturbances. Incidentally, with the
object of familiarizing the reader with the fundamentals of
. the new theory, the author give-e-a presentation of the funda-
;rentale of the theory in a form that is considered somewhat
**impler than that given in existing papers.
I ,recQnt years, due chiefly to the investigations of
Taylor.(reference 1) and Von Karman (reference 2), further
prograse'Has. been madE ei the turbulenbe theory, The new
ideas ~te 'ied, essentially, on the statistical turbulence
theory presnted several decades ago by the great Soviet
physiofstiritedmann, whose premature death occurred in 192F,
and by Keller (reference 3),
The principal difference between the new method and
previous stati&dl methods lies in the introduction, to-.
gether with the nsVal correlation moments of the velocity
at a given point 'or the flow, of special "association mo-
ments" (Priedmann's terminology) between the velocity comn-
ponents at two di t erent points of the flow qt-corresponding
instants of time. :-This idea has proved itslf.very fruitful
*Report No, 440, of the "aehtral Aero-Hydrodynamical
Institute, Moscow, 1939, "
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Loitsianskii, L. G. Some Basic Laws of Isotropic Turbulent Flow, report, September 1945; (digital.library.unt.edu/ark:/67531/metadc63978/m1/2/: accessed November 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.