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  2. Turbulence - Wikipedia

    en.wikipedia.org/wiki/Turbulence

    The Russian mathematician Andrey Kolmogorov proposed the first statistical theory of turbulence, based on the aforementioned notion of the energy cascade (an idea originally introduced by Richardson) and the concept of self-similarity. As a result, the Kolmogorov microscales were named after him. It is now known that the self-similarity is ...

  3. Reynolds decomposition - Wikipedia

    en.wikipedia.org/wiki/Reynolds_decomposition

    [1] [2] The expected value, u ¯ {\displaystyle {\overline {u}}} , is often found from an ensemble average which is an average taken over multiple experiments under identical conditions. The expected value is also sometime denoted u {\displaystyle \langle u\rangle } , but it is also seen often with the over-bar notation.

  4. Landau–Hopf theory of turbulence - Wikipedia

    en.wikipedia.org/wiki/Landau–Hopf_theory_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 .

  5. Reynolds stress equation model - Wikipedia

    en.wikipedia.org/wiki/Reynolds_stress_equation_model

    2) It is the most general of all turbulence models and works reasonably well for a large number of engineering flows. 3) It requires only the initial and/or boundary conditions to be supplied. 4) Since the production terms need not be modeled, it can selectively damp the stresses due to buoyancy , curvature effects etc.

  6. English grammar - Wikipedia

    en.wikipedia.org/wiki/English_grammar

    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 ...

  7. Turbulence modeling - Wikipedia

    en.wikipedia.org/wiki/Turbulence_modeling

    In computational fluid dynamics, the k–omega (k–ω) turbulence model [10] is a common two-equation turbulence model that is used as a closure for the Reynolds-averaged Navier–Stokes equations (RANS equations). The model attempts to predict turbulence by two partial differential equations for two variables, k and ω, with the first ...

  8. Warriner's English Grammar and Composition - Wikipedia

    en.wikipedia.org/wiki/Warriner's_English_Grammar...

    In 1942 or 1943, Warriner was approached by a publisher's sales representative about revising a grammar book dating from 1898. Warriner instead began writing chapters for a new book, which was published by Harcourt Brace as Warriner's Handbook of English, aimed at grades 9 and 10. This book was followed by a volume aimed at 11th and 12th graders.

  9. Grammar - Wikipedia

    en.wikipedia.org/wiki/Grammar

    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 ...