On the normalized turbulent energy dissipation rate

Burattini, Paolo; Lavoie, Philippe; Antonia, R. A.

doi:10.1063/1.2055529

Cited by 99 publications

(80 citation statements)

References 20 publications

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“…Based on Kolmorogov's dimensional scaling analysis assuming local isotropic turbulence in a flow field, energy dissipation rate ε can be computed as A more generic trend was observed by Burattini et al, (2005) by analysing different types of turbulent flow (both forced and decay) which suggested that this value remains approximately constant at ~ 0.5 when Re λ > 200. In the present study, A was assumed to be equal to unity due to similarity in the flow system with the work of Yang and Shy (2003) and no correction factor due to change in Re λ was used.…”

Section: Comparison Of Specific Energy Dissipation Rate Valuesmentioning

confidence: 97%

Comparison of specific energy dissipation rate calculation methodologies utilising 2D PIV velocity measurement

Hoque

Sathe

Mitra

et al. 2015

Chemical Engineering Science

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Section: Comparison Of Specific Energy Dissipation Rate Valuesmentioning

confidence: 97%

Comparison of specific energy dissipation rate calculation methodologies utilising 2D PIV velocity measurement

Hoque

Sathe

Mitra

et al. 2015

Chemical Engineering Science

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“…While the magnitude of the constant C ε , based on several experiments that were summarized in [57] and on the data obtained in [58], exhibits a relatively large scatter in the range of Reynolds numbers Re λ < 50, on the average the value of the constant C ε is closed to 1. Here Re λ is the Reynolds number based on the Taylor microscale.…”

Section: Production and Dissipation In Turbulent Convectionmentioning

confidence: 99%

Effect of large-scale coherent structures on turbulent convection

et al. 2009

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We study an effect of large-scale coherent structures on global properties of turbulent convection in laboratory experiments in air flow in a rectangular chamber with aspect ratios A ≈ 2 and A ≈ 4 (with the Rayleigh numbers varying in the range from 5 × 10 6 to 10 8 ). The large-scale coherent structures comprise the one-cell and two-cell flow patterns. We found that a main contribution to the turbulence kinetic energy production in turbulent convection with large-scale coherent structures is due to the non-uniform large-scale motions. Turbulence in large Rayleigh number convection with coherent structures is produced by shear, rather than by buoyancy. We determined the scalings of global parameters (e.g., the production and dissipation of turbulent kinetic energy, the turbulent velocity and integral turbulent scale, the large-scale shear, etc.) of turbulent convection versus the temperature difference between the bottom and the top walls of the chamber. These scalings are in an agreement with our theoretical predictions. We demonstrated that the degree of inhomogeneity of the turbulent convection with large-scale coherent structures is small.

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“…This has been done in various studies over the last decades for homogeneous isotropic turbulence (HIT). Experimentally, the focus of attention was on grid-induced turbulence [8][9][10][11][12][13][14][15], whereas in numerical simulations periodic boundary conditions were used [16][17][18][19]. To what degree the decay of the turbulence depends on the initial conditions [20][21][22] and whether or not it is selfsimilar has controversially been debated [5,11,16,[23][24][25][26][27].…”

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confidence: 99%

Self-similar decay of high Reynolds number Taylor-Couette turbulence

et al. 2016

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We study the decay of high-Reynolds number Taylor-Couette turbulence, i.e. the turbulent flow between two coaxial rotating cylinders. To do so, the rotation of the inner cylinder (Rei = 2×10 6 , the outer cylinder is at rest) is stopped within 12 s, thus fully removing the energy input to the system. Using a combination of laser Doppler anemometry and particle image velocimetry measurements, six decay decades of the kinetic energy could be captured. First, in the absence of cylinder rotation, the flow-velocity during the decay does not develop any height dependence in contrast to the well-known Taylor vortex state. Second, the radial profile of the azimuthal velocity is found to be self-similar. Nonetheless, the decay of this wall-bounded inhomogeneous turbulent flow does not follow a strict power law as for decaying turbulent homogeneous isotropic flows, but it is faster, due to the strong viscous drag applied by the bounding walls. We theoretically describe the decay in a quantitative way by taking the effects of additional friction at the walls into account.Turbulence is a phenomenon far from equilibrium: Turbulent flow is driven in one or the other way by some energy input and at the same time energy is dissipated, predominantly (but not exclusively) at the smaller scales. For statistically stationary turbulence, this balance is reflected in the famous picture of the Richardson-Kolmogorov energy cascade [1,2]. While the driving on large scales clearly is non-universal, depending on the flow geometry and stirring mechanism, the energy dissipation mechanism has been hypothesized to be self-similar [3][4][5][6][7][8].How exactly is the energy taken out of the system? A good way to find out is to turn off the driving and follow the then decaying turbulence, as then all scales are probed during the decay process. This has been done in various studies over the last decades for homogeneous isotropic turbulence (HIT). Experimentally, the focus of attention was on grid-induced turbulence [8][9][10][11][12][13][14][15], whereas in numerical simulations periodic boundary conditions were used [16][17][18][19]. To what degree the decay of the turbulence depends on the initial conditions [20][21][22] and whether or not it is selfsimilar has controversially been debated [5,11,16,[23][24][25][26][27]. We note that for HIT, already from dimensional analysis one obtains power laws for the temporal evolution of the vorticity and kinetic energy in decaying turbulence, namely ω(t) ∝ t −3/2 and k(t) ∝ t −2 , respectively, in good agreement with many measurements [10,12,28]. These scaling laws are also obtained [29] when employing the 'variable range mean field theory' of Ref. [30], developed for HIT. In that way, the late-time behavior, when the flow is already viscosity dominated, can also be calculated, allowing for the calculation of the lifetime of the decaying turbulence [29].However, real turbulence is neither homogeneous nor isotropic, but it has anisotropies and is wall-bounded, with a considerable fraction of the dissipa...

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On the normalized turbulent energy dissipation rate

Cited by 99 publications

References 20 publications

Comparison of specific energy dissipation rate calculation methodologies utilising 2D PIV velocity measurement

Comparison of specific energy dissipation rate calculation methodologies utilising 2D PIV velocity measurement

Effect of large-scale coherent structures on turbulent convection

Self-similar decay of high Reynolds number Taylor-Couette turbulence

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