Calculation of Metzner Constant for Double Helical Ribbon Impeller by Computational Fluid Dynamic Method

Zhang, Minge; Zhang, Lühong; Jiang, Bin; Yin, Yuguo; Li, Xingang

doi:10.1016/s1004-9541(08)60141-x

Cited by 29 publications

(15 citation statements)

References 29 publications

(34 reference statements)

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“…This method is based on laminar flow regime, but has been widely adopted in transitional or turbulent flow regime 6, 27, 29. In this study, k s is set to be 11.5 according to the literature 6, 30–32.…”

Section: Methodsmentioning

confidence: 99%

Energy Dissipation Rates of Newtonian and Non‐Newtonian Fluids in a Stirred Vessel

2014

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Energy dissipation rates of water and glycerol as Newtonian fluids and carboxyl methyl carbonate solution as non-Newtonian fluid in a stirred vessel are investigated by 2D particle image velocimetry and compared. Mean velocity profiles reflect the Reynolds (Re) number similarity of two flow fields with different rheological properties, but the root mean square velocity profiles differ in rheology at the same Re-number. Energy dissipation rates are estimated by direct calculation of fluctuating velocity gradients. The varying energy dissipation rates of Newtonian and non-Newtonian fluids result from the difference in fluid rheology and apparent viscosity distribution which decides largely the flow pattern, circulation intensity, and rate of turbulence generation.

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Section: Methodsmentioning

confidence: 99%

Energy Dissipation Rates of Newtonian and Non‐Newtonian Fluids in a Stirred Vessel

2014

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“…Coupling of pressure and speed is done by means of SIMPLE algorithm. The momentum equation is discretized with second order upwind scheme [18,19].…”

Section: Numerical Simulation Methodsmentioning

confidence: 99%

Power consumption and flow field characteristics of a coaxial mixer with a double inner impeller

Liu

Zhang

Chen

et al. 2015

Chinese Journal of Chemical Engineering

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“…-Recent advances in Computational Fluid Dynamics and experimental velocimetry measurements (LDA, PIV, and other particle tracking methods) gave access to local shear-rate fields in the flow domain. Taking advantages on them, some authors attempted to localize the shape of the volumetric region where the effective shear rate takes place for various mixing systems, and to find an appropriate volume enclosing the agitator for extracting effective shear-rate values (Delaplace et al 2000b;Gabelle et al 2013;Jahangiri 2008;Kelley and Gigas 2003;Ramirez-Muñoz et al 2017;Shekhar and Jayanti 2003;Wu et al 2006;Zhang et al 2008). These authors addressed questions concerning the physical meaning of the effective shear rateγ eff derived from the Metzner-Otto concept.…”

Section: Introductionmentioning

confidence: 99%

How dimensional analysis allows to go beyond Metzner–Otto concept for non-Newtonian fluids

Delaplace

Jeantet

Grenville³

et al. 2020

Reviews in Chemical Engineering

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The concept of Metzner and Otto was initially developed for correlating power measurements in stirred vessels for shear-thinning fluids in the laminar regime with regard to those obtained for Newtonian liquids. To get this overlap, Metzner and Otto postulated and determined an “effective shear rate” which was proportional to the rotational speed of the impeller Although it was not based on a strong theoretical background, it was rapidly admitted as a practical engineering approach and was extended for seeking out a “Newtonian correspondence” with non-Newtonian results (i.e. different classes of fluids). This was applied in a variety of tank processes even for predicting heat transfer or mixing time, which stretches far away from the frame initially envisaged by Metzner and Otto themselves. This paper aimed to show how dimensional analysis offers a theoretically founded framework to address this issue without the experimental determination of effective quantities. This work also aimed to enlarge the underlying questions to any process in which a variable material property exists and impacts the process. For that purpose, the pending questions of Metzner and Otto concept were first reminded (i.e. dependence of the Metzner–Otto constant to rheological parameters, physical meaning of the effective shear rate, etc.). Then, the theoretical background underlying the dimensional analysis was described and applied to the case of variable material properties (including non-Newtonian fluids), by introducing in particular the concept of material similarity. Finally, two examples were proposed to demonstrate how the rigorous framework associated with the dimensional analysis is a powerful method to exceed the concept of Metzner and Otto and can be adapted beyond the Ostwald–de Waele power law model to a wide range of non-Newtonian fluids in various processes, without being restricted to batch reactor and laminar regime.

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Calculation of Metzner Constant for Double Helical Ribbon Impeller by Computational Fluid Dynamic Method

Cited by 29 publications

References 29 publications

Energy Dissipation Rates of Newtonian and Non‐Newtonian Fluids in a Stirred Vessel

Energy Dissipation Rates of Newtonian and Non‐Newtonian Fluids in a Stirred Vessel

Power consumption and flow field characteristics of a coaxial mixer with a double inner impeller

How dimensional analysis allows to go beyond Metzner–Otto concept for non-Newtonian fluids

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