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This is an important area of research in this field, and a major goal of the modern theory of turbulence is to understand what is universal in the inertial range, and how to deduce intermittency properties from the Navier-Stokes equations, i.e. from first principles.
Lumley received the 1990 Fluid Dynamics Prize of American Physical Society, "For his outstanding contributions to the understanding of turbulent flow, in particular, the fundamental structure of turbulent shear flows, the effects of drag-reducing additives, and his widely recognized contributions to the statistical theory of turbulence, and for his personal and intellectual leadership in the ...
The statistical theory of turbulence in viscous liquids describes the fluid flow by a scale-invariant distribution of the velocity field, which means that the typical size of the velocity as a function of wavenumber is a power-law. In steady state, larger scale eddies at long wavelengths disintegrate into smaller ones, dissipating their energy ...
[1]: 74 Numerous grammars aimed at foreign learners of English, sometimes written in Latin, were published in the seventeenth century, while the eighteenth saw the emergence of English-language grammars aiming to instruct their Anglophone audiences in what the authors viewed as correct grammar, including an increasingly literate audience of ...
In physics, the Landau–Hopf theory of turbulence, named for Lev Landau and Eberhard Hopf, was until the mid-1970s, [clarification needed] the accepted theory of how a fluid flow becomes turbulent. It states that as a fluid flows faster, it develops more Fourier modes .
In fluid dynamics and turbulence theory, Reynolds decomposition is a mathematical technique used to separate the expectation value of a quantity from its fluctuations. Decomposition [ edit ]
A description, study, or analysis of such rules may also be known as a grammar, or as a grammar book. A reference work describing the grammar of a language is called a reference grammar or simply a grammar. A fully revealed grammar, which describes the grammatical constructions of a particular speech type in great detail is called descriptive ...
The first published English grammar was a Pamphlet for Grammar of 1586, written by William Bullokar with the stated goal of demonstrating that English was just as rule-based as Latin. Bullokar's grammar was faithfully modeled on William Lily's Latin grammar, Rudimenta Grammatices (1534), used in English schools at that time, having been ...