Formulation of the Theory of Turbulence
作者:
Steven A. Orszag,
Martin D. Kruskal,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1968)
卷期:
Volume 11,
issue 1
页码: 43-60
ISSN:0031-9171
年代: 1968
DOI:10.1063/1.1691777
出版商: AIP
数据来源: AIP
摘要:
A theory of homogeneous, isotropic turbulence in an incompressible fluid is formulated. This theory provides a basis for the dynamics of fully developed turbulence. A hierarchy of equations to determine the time evolution of single‐time moments of the velocity field is derived. Various properties of this hierarchy are exhibited, such as positivity of the dynamically determined energy density. The theory is applied to the study of the inertial range, where the Kolmogoroff theory is justified. A generalized inertial‐range theory is formulated. This “semilocal” theory is characterized by local energy transfer and nonlocal relaxation of triple moments. The generalized theory is applied to the study of hydromagnetic turbulence, which is shown to possess a semilocal inertial range.
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