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  • 11
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 364-390 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The purpose of this paper is to provide an independent, comprehensive, critical review of the "renormalization group'' theory of turbulence developed by Yakhot and Orszag [J. Sci. Comput. 1, 3 (1986)]. The first part of the paper is a confirmation of their basic theory for the Navier–Stokes equations, followed by a discussion of approximations in the scale removal procedure. The main part of the paper examines the YO derivations of the velocity-derivative skewness and the transport equation for the energy dissipation rate E. An algebraic error in the derivation of the skewness is corrected. Several problems are identified in the derivation of the E equation which suggest that the derivation should be reformulated. The present paper has become the basis for such a reformulation, to be published separately by Yakhot and Smith.
    Type of Medium: Electronic Resource
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  • 12
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 2 (1990), S. 1669-1677 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A corrected tensorial turbulent volume transport equation, which is exact for uniform density flows, is derived from the Navier–Stokes equations. For homogeneous turbulence, the new terms appearing in the correct equation account for the effect of the pressure velocity correlation and of the mean velocity gradient. The correct tensorial volume equation is closed only for the case of isotropic homogeneous turbulence. To solve the equation for the anisotropic case a model for the velocity spectrum is required. When applied to the cases of isotropic expansion, incompressible axisymmetric contraction, and shearing of initially isotropic turbulence, the correct equation predicts the same time evolution for the tensorial volume that rapid distortion theory does.
    Type of Medium: Electronic Resource
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  • 13
    Electronic Resource
    Electronic Resource
    Springer
    Experiments in fluids 10 (1991), S. 257-266 
    ISSN: 1432-1114
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A new optical instrument has been developed for direct measurement of instantaneous velocity gradients at the bounding wall. Light emerging from two tiny optical slits in the surface is used to form a “fan of fringes” in the region very near the wall. Doppler frequency of the light scattered by the seed particles is directly proportional to the velocity gradient. The system has been used to measure the statistics of the streamwise and spanwise velocity gradients in a turbulent boundary layer. The streamwise and spanwise rms fluctuations were found to be 38% and 11% of the mean streamwise value respectively. The latter result is subject to a large uncertainty.
    Type of Medium: Electronic Resource
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