Application of extended quadrature method of moments for simulation of bubbly flow and mass transfer in gas‐liquid stirred tanks

Askari, Ehsan; Lemieux, Gabriel; Proulx, Pierre

doi:10.1002/cjce.23470

Cited by 23 publications

(14 citation statements)

References 47 publications

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“…Several extensions and improvements have been proposed to stabilize and reduce the computational effort of the implementation [114][115][116]. The EQMoM is applied in similar areas as its predecessors, e.g., polydisperse bubbly flows [117,118], soot oxidation [116,119], and bioreactors [102].…”

Section: Extended Quadrature Methods Of Moments (Eqmom)mentioning

confidence: 99%

Approximate Moment Methods for Population Balance Equations in Particulate and Bioengineering Processes

Dürr

Bück

2020

Processes

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Population balance modeling is an established framework to describe the dynamics of particle populations in disperse phase systems found in a broad field of industrial, civil, and medical applications. The resulting population balance equations account for the dynamics of the number density distribution functions and represent (systems of) partial differential equations which require sophisticated numerical solution techniques due to the general lack of analytical solutions. A specific class of solution algorithms, so-called moment methods, is based on the reduction of complex models to a set of ordinary differential equations characterizing dynamics of integral quantities of the number density distribution function. However, in general, a closed set of moment equations is not found and one has to rely on approximate closure methods. In this contribution, a concise overview of the most prominent approximate moment methods is given.

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Section: Extended Quadrature Methods Of Moments (Eqmom)mentioning

confidence: 99%

Approximate Moment Methods for Population Balance Equations in Particulate and Bioengineering Processes

Dürr

Bück

2020

Processes

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“…The Mixture model can describe the flow of the primary and secondary phases with different velocities, and consider the interaction of the interface between the phases. And the Eulerian-Eulerian simulation has been commonly recognized in the studies of gas-liquid flow (Agahzamin & Pakzad, 2019;Askari et al, 2019).…”

Section: Simulation Methodsmentioning

confidence: 99%

Numerical study on void fraction wave of reciprocating multiphase pumps with high gas rates based on real gas models

Zhang

2020

Engineering Applications of Computational Fluid Mechanics

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Instantaneous gas-liquid flow and distribution have an important influence on the performance of a multiphase pump, especially under the high gas content conditions. How to accurately simulate the complete working cycle of a multiphase pump and reflect the transient oil-gas flow inside the pump cavity are the main difficulties of the study. A three-dimensional whole-cycle numerical simulation has been conducted to predict the void fraction waves of the reciprocating multiphase pumps under the high gas rates and to evaluate the effects of multi-case parameters on its pulsation characteristics. The instantaneous two-phase distribution and fluctuation characteristic accompanying the movement of the piston and the valves during each process of the multiphase pump are innovatively obtained under the high gas rates. Five different ideal gas model and real gas models used in this simulation are compared and optimized first, and then validated by the experimental results. Void fraction wave signals in the time and frequency domains are obtained from multiple working cycles of the multiphase pump, and the pulsation rates, propagation speeds, amplitudes, and power spectral densities are analyzed in great detail under different inlet gas contents, pressure ratios, crank speeds, and stroke lengths.

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“…In the case of gas bubble size distribution, typically the diameter of the gas bubble is considered, and the PBE corresponds to the Eq. (22) [232,233]. The source term consists of four different terms: death by coalescence D coal , birth by coalescence B coal , death by breakup D br , birth by breakup B br (Eqs.…”

Section: Population Balance Modelmentioning

confidence: 99%

Oxygen Mass Transfer in Biopharmaceutical Processes: Numerical and Experimental Approaches

Seidel

Maschke

Werner

et al. 2020

Chemie Ingenieur Technik

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This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. Dedicated to Prof. Dr.-Ing. Matthias Kraume on the occasion of his 65th birthday Oxygen supply in aerobic bioprocesses is of crucial importance. For this reason, this paper presents the oxygen demand of different cells and summarizes experimental and numerical possibilities for the determination of oxygen transfer in bioreactors. The focus lies on the volumetric oxygen mass transfer coefficient (k L a) calculation using computational fluid dynamics and state-of-the-art models for surface-aerated and forced-aerated bioreactors. In addition, experimental methods for the determination of the k L a value and the gas bubble size distribution are presented.

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Application of extended quadrature method of moments for simulation of bubbly flow and mass transfer in gas‐liquid stirred tanks

Cited by 23 publications

References 47 publications

Approximate Moment Methods for Population Balance Equations in Particulate and Bioengineering Processes

Approximate Moment Methods for Population Balance Equations in Particulate and Bioengineering Processes

Numerical study on void fraction wave of reciprocating multiphase pumps with high gas rates based on real gas models

Oxygen Mass Transfer in Biopharmaceutical Processes: Numerical and Experimental Approaches

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