Estimation of the turbulent kinetic energy dissipation rate from 2D-PIV measurements in a vessel stirred by an axial Mixel TTP impeller

Delafosse, Angélique; Collignon, Marie-Laure; Crine, Michel; Toye, Dominique

doi:10.1016/j.ces.2011.01.011

Cited by 76 publications

(69 citation statements)

References 32 publications

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“…This similar approach called Large eddy PIV was used for dissipation of turbulent kinetic energy in an agitated vessel e.g. by [5,14,8,10,11]. The basic presumption should be fulfilled: grid size has to be in inertial sub-range, where turbulent kinetic energy is transferred from large scales to small ones.…”

Section: Large Eddy Piv Approachmentioning

confidence: 99%

“…The influence of spatial resolution on the estimated dissipated rate can be described by the power law [10]:…”

Section: Power Law Correlationmentioning

confidence: 99%

“…[4][5][6][7][8][9][10][11][12], but the results of absolute values of local dissipation rates have not been accomplished yet. While formerly a temporal record of instantaneous velocities [3,12] or two point measurement [9] was used for determination of dissipation rate, nowadays determination from velocity field obtained by PIV method [5,6,8,10,11] is preferred. This trend will be probably continued according to measurement techniques development to fully 3D measurements with resolution up to Kolmogorov scales.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Estimation of turbulence dissipation rate by Large eddy PIV method in an agitated vessel

Kysela

Jašíková

Konfršt

et al. 2015

EPJ Web of Conferences

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Abstract. The distribution of turbulent kinetic energy dissipation rate is important for design of mixing apparatuses in chemical industry. Generally used experimental methods of velocity measurements for measurement in complex geometries of an agitated vessel disallow measurement in resolution of small scales close to turbulence dissipation ones. Therefore, Particle image velocity (PIV) measurement method improved by large eddy PIV approach was used. Large eddy PIV method is based on modeling of smallest eddies by a sub grid scale (SGS) model. This method is similar to numerical calculations using Large Eddy Simulation (LES) and the same SGS models are used. In this work the basic Smagorinsky model was employed and compared with power law approximation. Time resolved PIV data were processed by Large Eddy PIV approach and the obtained results of turbulent kinetic dissipation rate were compared in selected points for several operating conditions (impeller speed, operating liquid viscosity).

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Section: Large Eddy Piv Approachmentioning

confidence: 99%

“…The influence of spatial resolution on the estimated dissipated rate can be described by the power law [10]:…”

Section: Power Law Correlationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Estimation of turbulence dissipation rate by Large eddy PIV method in an agitated vessel

Kysela

Jašíková

Konfršt

et al. 2015

EPJ Web of Conferences

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show abstract

“…A number of methods are available in the literature to calculate turbulent dissipation rate in the absence of some of the components of the velocity gradient tensor [3][4][5][6][7][8] and have shown varying degree of accuracy in different flows as well as in different regions of a given flow configuration [5,7,8]. The measurement plane in case of wall bounded turbulent flows while using planar PIV technique is generally chosen as the x-y plane, where x and y are the streamwise and wall-normal directions respectively.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Turbulent Dissipation Rate Using 2D Data in Channel Flows

Bhatia¹,

Atkinson²,

Kitsios³

et al. 2017

World Congress on Mechanical, Chemical, and Material Engineering

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-The dissipation rate of turbulent kinetic energy is a key parameter in the analysis of turbulent flows and its accurate determination in experiments is of paramount importance to turbulence research. In order to calculate turbulence dissipation rate, values of all the components of fluctuating velocity gradient tensor are required. Experimental methods, in particular 2D planar Particle Image Velocimetry (PIV), cannot measure velocity components in all three spatial dimensions, hence dissipation cannot be calculated completely from the data provided by such methods. This paper uses data from a Direct Numerical Simulation (DNS) to compare the true turbulent dissipation in a channel flow with its estimates calculated from various models available in literature. These models are shown to fail near the wall, where a substantial fraction of the turbulent kinetic energy is dissipated, significantly limiting estimates of total turbulent dissipation in the flow. This study aims to develop an improved model to estimate turbulent dissipation rate where information limited velocity field information is available especially in the near wall region.

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“…However, to use the model we have to know the energy dissipation rate. Generally, the local energy dissipation rate may be calculated from the definition formula (Baldi et al, 2002;Delafosse et al, 2011;Tanaka and Eaton, 2007) …”

Section: Introductionmentioning

confidence: 99%

Analysis of the mechanism of gas bubble break-up in liquids during the self-aspirating impeller operation

Stelmach

Kuncewicz

Musoski

2016

Chemical and Process Engineering

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Feasibility of a model of gas bubble break-up and coalescence in an air-lift column enabling determination of bubble size distributions in a mixer with a self-aspirating impeller has been attempted in this paper. According to velocity measurements made by the PIV method with a selfaspirating impeller and Smagorinski's model, the spatial distribution of turbulent energy dissipation rate close to the impeller was determined. This allowed to positively verify the dependence of gas bubble velocity used in the model, in relation to turbulent energy dissipation rate. Furthermore, the range of the eddy sizes capable of breaking up the gas bubbles was determined. The verified model was found to be greatly useful, but because of the simplifying assumptions some discrepancies of experimental and model results were observed.

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Estimation of the turbulent kinetic energy dissipation rate from 2D-PIV measurements in a vessel stirred by an axial Mixel TTP impeller

Cited by 76 publications

References 32 publications

Estimation of turbulence dissipation rate by Large eddy PIV method in an agitated vessel

Estimation of turbulence dissipation rate by Large eddy PIV method in an agitated vessel

Estimation of Turbulent Dissipation Rate Using 2D Data in Channel Flows

Analysis of the mechanism of gas bubble break-up in liquids during the self-aspirating impeller operation

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