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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Heat and mass transfer 27 (1992), S. 195-200 
    ISSN: 1432-1181
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Zusammenfassung Strömungen in horizontalen Rohrleitungen, die für die chemische Gasphasenabscheidung (CVD) von unten beheizt werden, spielen eine wichtige Rolle bei der Erzeugung von dünnen Halbleiterschichten. Jedoch verhindert die Entstehung von Benard-Zellen, daß Schichten gleichmäßiger Dichte wachsen. Das Ziel der vorliegenden Arbeit besteht in der Ermittlung der Verhältnisse für ein mittleres zeitlich gleichmäßiges Wachstum der Schicht auf dem Boden einer rechteckigen CVD-Rohrleitung. Um die günstigsten Verhältnisse zu ermitteln, wurden experimentelle Studien mit verschiedenen Temperaturen auf den Seitenwänden der Rohrleitung durchgeführt. Strömungen im chaotischen Zustand können zu einer gleichmäßigen Verteilung der horizontalen Temperaturen und damit zu einem gleichmäßigen Wachstum von Halbleiterschichten führen.
    Notes: Abstract Flows in horizontal chemical vapor deposition (CVD) ducts heated from below play an important role for manufacturing thin semiconductor layers. However, the formation of Benard cells prevents the growth of layers of uniform thickness. The present paper aims at finding conditions for time-mean uniform growth of the layer on the bottom of a rectangular CVD duct of aspect ratio 2 and heated from below. Experimental studies of various side wall temperature distributions were performed to identify conditions appropriate for controlling the Benard cells. It was found that flows in the chaotic state can provide the uniform horizontal temperature distribution preferable for the uniform growth of semiconductor layers.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Physics Letters A 174 (1993), S. 176-177 
    ISSN: 0375-9601
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 7 (1995), S. 1637-1648 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The refined similarity hypothesis of Kolmogorov [J. Fluid Mech. 13, 82 (1962)] is extended to a scalar field. These hypotheses are tested using measurements in a circular jet and the atmospheric surface layer. Over a significant part of the inertial range, statistics of the normalized stochastic variables for velocity and temperature indicate a dependence on the separation r. This dependence is also quantified through the probability density functions of the stochastic variables and the correlation between the velocity (or temperature) increment and the local energy (or temperature) dissipation rates. Probability density functions of the stochastic variables are conditioned on the local Reynolds number Rer based on r and the local energy dissipation rate. These functions depend on Rer when the latter is small and are approximately universal when Rer is very large. This behaviour is consistent with the refined similarity hypothesis. There is however a slight difference between the shapes of the conditional probability density functions in the two flows, implying a weak dependence on the turbulence Reynolds number Rλ and flow conditions. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 457-459 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It is found that the well-known "refined similarity hypothesis,'' proposed by Kolmogorov and Obukhov in 1962, fails in a typical direct numerical simulation of three-dimensional turbulence: If r is an inertial-range scale, the velocity difference across a domain of linear dimension r is almost statistically independent of the average dissipation within the domain. This result casts doubt on the often-used relation, ζp = p/3 − μp/3, between scaling indices ζp for velocity structure functions and scaling indices μq for moments of locally averaged dissipation. It seems questionable that a single turbulence model can predict both sets of exponents successfully. Other aspects of the treatment of intermittency in isotropic turbulence may also need reconsideration.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Fluid Dynamics Research 13 (1994), S. 329-333 
    ISSN: 0169-5983
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 13 (1975), S. 245-272 
    ISSN: 1572-9613
    Keywords: Random force ; Burgers flow ; characteristic functional equation ; Monte Carlo quadrature ; turbulence ; Fokker-Planck equation ; random walk ; nonlinear instability ; ergodicity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The randomly forced, one-dimensional Burgers flow is dealt with by the method of the characteristic functional equation. The time development of the stochastic secondary flow is studied numerically by the Monte Carlo quadrature of the integral representation of solution for two types (white and “red”) of random force fields. A turbulence-like behavior of the flow appears for a supercritical Reynolds number, and its structure is studied in detail.
    Type of Medium: Electronic Resource
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