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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 834-841 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The degree to which local isotropy applies is examined using databases obtained from numerical simulations of a variety of turbulent flows at low Reynolds numbers. Simulations of a turbulent channel flow were used to obtain most of the results but simulations of other flows, e.g. homogeneous isotropic turbulence, a homogeneous shear flow, and a turbulent mixing layer, have also been considered. Attention is mainly given to the high wave number part of the vorticity and temperature derivative spectra. The ratio of these spectra and their isotropic values depends on the particular quantity considered, the departure from isotropy being more pronounced for the temperature derivative than for the vorticity. When the Kolmogorov-normalized wave number is sufficiently large, isotropy is approximately satisfied provided the (Kolmogorov-normalized) mean strain rate is sufficiently small. This result appears to be independent of the quantity considered and of the Reynolds number.
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 3818-3822 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A recursive relation for the unit isotropic tensor of an arbitrary even order is derived from a rotational Brownian motion of the unit vector. An expression for the eighth-order velocity gradient correlation function is derived from the eighth-order isotropic tensors, after preserving the solenoidal property of the velocity field. This correlation function is compared with measurements in a turbulent wake. © 1994 American Institute of Physics.
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 7 (1995), S. 2465-2474 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The effect of suction, applied through a short porous wall strip, on a low Reynolds number self-preserving turbulent boundary layer has been quantified by measuring the local wall shear stress and the main Reynolds stresses downstream of the strip. When the suction rate is sufficiently high, pseudo-relaminarization occurs almost immediately downstream of the strip. Farther downstream, transition occurs followed by a slow return to a fully turbulent self-preserving state. During relaminarization, the measured skin friction coefficient cf falls below the level corresponding to the no suction value, reaching a minimum where transition begins. An empirical cf distribution is proposed that groups together results obtained at different streamwise stations and different suction rates. Of all the measured Reynolds stresses, the longitudinal turbulence intensity recovers relatively quickly from the change in boundary conditions while the wall-normal turbulence intensity and the Reynolds shear stress are significantly affected by the suction. The Reynolds shear stress, which is negligible during relaminarization, has the slowest recovery. © 1995 American Institute of Physics.
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 10 (1998), S. 3239-3241 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The departure from Kolmogorov (1941) scaling of high-order moments of longitudinal velocity increments in a fully developed turbulent channel flow is investigated using data obtained with hot wire anemometry (HWA), laser Doppler velocimetry (LDV) and direct numerical simulation (DNS). The magnitude of the departure increases towards the wall, reaching a local maximum at a distance of about 20 wall units. © 1998 American Institute of Physics.
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 12 (2000), S. 335-344 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Using a combination of a transverse vorticity (ω3) probe and a pair of parallel cold wires, simultaneous approximations, denoted as εap and εθap, to the energy dissipation rate ε and the temperature variance dissipation rate εθ, are obtained in decaying grid turbulence at a Taylor microscale Reynolds number of about 52. While there are important differences between the spectra of either εap or εθap and those of their isotropic counterparts ε′ and εθ′, the correlation between εap and εθap is as small as that between ε′ and εθ′. The large discrepancies, which exist in the literature, for the correlation coefficient between the locally averaged values of ε and εθ reflect a dependence on the flow type as well as on the Reynolds number. Whereas εap is strongly correlated with ω32, the correlation between ε′ and ω32 is weak. The correlation between εθap and ω32 is comparable to that between εθ′ and ω32. The effect different choices of ε and εθ have on the refined similarity hypothesis (RSH) (Kolmogorov, 1962) and its extension (RSHP) to a passive scalar is also examined. By reference to a nearly complete ε obtained with a three-component vorticity probe, RSH is more closely satisfied by εap than ε′. In contrast, RSHP appears to be approximately satisfied, regardless of which approximations are used for ε and εθ. © 2000 American Institute of Physics.
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 12 (2000), S. 3090-3093 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Expressions for Cε and Cεθ, the dimensionless mean energy and temperature dissipation rates, can be reasonably reconciled with measured and numerical data at small to moderate Rλ only if the Kolmogorov constant and more especially the Obukhov–Corrsin constant are assumed to depend on the flow and the Reynolds number. © 2000 American Institute of Physics.
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  • 7
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 12 (2000), S. 3086-3089 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Accounting for the streamwise inhomogeneity of turbulence in Kolmogorov's equation for the third-order moment of the velocity increment between two points allows compliance with two important classical results. These are retrieved when the separation between the points either exceeds the integral length scale or becomes comparable to the Kolmogorov length scale. In the context of decaying grid turbulence, the results correspond to the mean turbulent energy equation and the Batchelor–Townsend equation for the decay of the mean-squared vorticity. Analogous results are obtained when the streamwise inhomogeneity is included in Yaglom's equation. The form of the inhomogeneous term is illustrated and discussed in the context of measurements in a turbulent grid flow. © 2000 American Institute of Physics.
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  • 8
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 12 (2000), S. 1509-1517 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An interpolation relation is used to fit second-order moments of temperature and velocity fluctuation increments which have been measured in three types of flows (decaying grid turbulence, cylinder wake, and circular jet) for values of the Taylor microscale Reynolds number Rλ in the range 30 (grid turbulence) to about 500 (jet). Several checks confirm the analytical framework underpinning the fit. The magnitude of the resulting scaling exponents increases with Rλ, the longitudinal one being first to asymptote to a constant value. The scaling exponent for the temperature increment is generally smaller than that for the longitudinal velocity increment but larger than that for the transverse velocity increment when Rλ≤300. For Rλ〉300, the magnitude of the scaling exponents of the temperature and transverse velocity increments are nearly equal. Within the framework of small-scale intermittency, the magnitude of the Obukhov–Corrsin "constant" increases at small Rλ in similar manner to that of the longitudinal and transverse velocity Kolmogorov constants. © 2000 American Institute of Physics.
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  • 9
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 11 (1999), S. 241-243 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Second-order pressure structure functions, estimated from direct numerical simulations of homogeneous and nonhomogeneous turbulent flows, exhibit a significant Reynolds number dependence in the dissipative range. This dependence mainly reflects the contribution from low wave numbers to the instantaneous pressure gradient. © 1999 American Institute of Physics.
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  • 10
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 12 (2000), S. 3000-3006 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Reynolds number dependence of measured (and corrected) second-order longitudinal and transverse velocity structure functions is examined by fitting an expression that extends from the smallest dissipative scales to inertial range scales. Results obtained from fitting to data for decaying grid turbulence and on the centerline of turbulent jets indicate an increase, with respect to the Reynolds number, of both longitudinal and transverse scaling exponents. The results should provide a relatively reliable description for the Reynolds number evolution of Kolmogorov-normalized second-order structure functions from viscous to inertial range scales. © 2000 American Institute of Physics.
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