A rapid method for flow pattern, mixing time estimation and turbulent dissipation rates in turbulent stirred mixers based on 2-D network-of-zones (NoZ) model

Yuqi Bai; Cláudio Pereira da fonte; Adam Kowalski; Waldo Rosales trujillo; Thomas lawrence Rodgers

doi:10.1016/j.ces.2023.119577

A rapid method for flow pattern, mixing time estimation and turbulent dissipation rates in turbulent stirred mixers based on 2-D network-of-zones (NoZ) model

Yuqi Bai, Cláudio Pereira da fonte, Adam Kowalski, Waldo Rosales trujillo, Thomas lawrence Rodgers

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Abstract

A rapid non-iterative method for estimating flow patterns in stirred vessels in fully turbulent regime was defined and evaluated starting from limited known data near the core regions based on the 2-D network-of-zone (NoZ) model. Flow pattern induced by impeller of arbitrary diameter could be generated non-iteratively from known NoZ data with impeller of same type but another diameter, before mixing time was estimated within minutes on a standard PC. Case studies on six different impeller diameter and types representing typical radial flow impellers and axial flow impellers respectively was presented, errors of mixing time predicted in which were all within a maximum of ±33%
compared to mixing time predicted via experimental correlation. A rapid method for estimating turbulent dissipation rate profiles were also introduced and evaluated quantitatively.

Original language	English
Article number	119577
Journal	Chemical Engineering Science
Volume	285
Early online date	4 Dec 2023
DOIs	https://doi.org/10.1016/j.ces.2023.119577
Publication status	Published - 7 Dec 2023

Keywords

Turbulent mixing
Stirred tank mixers
Rapid flow pattern prediction
Mixing time prediction
Network-of-zones model

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10.1016/j.ces.2023.119577

paper_2_formatted_revision_version_for_submissionAccepted author manuscript, 8.77 MBLicence: CC BY

Cite this

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title = "A rapid method for flow pattern, mixing time estimation and turbulent dissipation rates in turbulent stirred mixers based on 2-D network-of-zones (NoZ) model",

abstract = "A rapid non-iterative method for estimating flow patterns in stirred vessels in fully turbulent regime was defined and evaluated starting from limited known data near the core regions based on the 2-D network-of-zone (NoZ) model. Flow pattern induced by impeller of arbitrary diameter could be generated non-iteratively from known NoZ data with impeller of same type but another diameter, before mixing time was estimated within minutes on a standard PC. Case studies on six different impeller diameter and types representing typical radial flow impellers and axial flow impellers respectively was presented, errors of mixing time predicted in which were all within a maximum of ±33% compared to mixing time predicted via experimental correlation. A rapid method for estimating turbulent dissipation rate profiles were also introduced and evaluated quantitatively.",

keywords = "Turbulent mixing, Stirred tank mixers, Rapid flow pattern prediction, Mixing time prediction, Network-of-zones model",

author = "Yuqi Bai and {Pereira da fonte}, Cl{\'a}udio and Adam Kowalski and {Rosales trujillo}, Waldo and Rodgers, {Thomas lawrence}",

year = "2023",

month = dec,

day = "7",

doi = "10.1016/j.ces.2023.119577",

language = "English",

volume = "285",

journal = "Chemical Engineering Science",

issn = "0009-2509",

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T1 - A rapid method for flow pattern, mixing time estimation and turbulent dissipation rates in turbulent stirred mixers based on 2-D network-of-zones (NoZ) model

AU - Bai, Yuqi

AU - Pereira da fonte, Cláudio

AU - Kowalski, Adam

AU - Rosales trujillo, Waldo

AU - Rodgers, Thomas lawrence

PY - 2023/12/7

Y1 - 2023/12/7

N2 - A rapid non-iterative method for estimating flow patterns in stirred vessels in fully turbulent regime was defined and evaluated starting from limited known data near the core regions based on the 2-D network-of-zone (NoZ) model. Flow pattern induced by impeller of arbitrary diameter could be generated non-iteratively from known NoZ data with impeller of same type but another diameter, before mixing time was estimated within minutes on a standard PC. Case studies on six different impeller diameter and types representing typical radial flow impellers and axial flow impellers respectively was presented, errors of mixing time predicted in which were all within a maximum of ±33% compared to mixing time predicted via experimental correlation. A rapid method for estimating turbulent dissipation rate profiles were also introduced and evaluated quantitatively.

AB - A rapid non-iterative method for estimating flow patterns in stirred vessels in fully turbulent regime was defined and evaluated starting from limited known data near the core regions based on the 2-D network-of-zone (NoZ) model. Flow pattern induced by impeller of arbitrary diameter could be generated non-iteratively from known NoZ data with impeller of same type but another diameter, before mixing time was estimated within minutes on a standard PC. Case studies on six different impeller diameter and types representing typical radial flow impellers and axial flow impellers respectively was presented, errors of mixing time predicted in which were all within a maximum of ±33% compared to mixing time predicted via experimental correlation. A rapid method for estimating turbulent dissipation rate profiles were also introduced and evaluated quantitatively.

KW - Turbulent mixing

KW - Stirred tank mixers

KW - Rapid flow pattern prediction

KW - Mixing time prediction

KW - Network-of-zones model

U2 - 10.1016/j.ces.2023.119577

DO - 10.1016/j.ces.2023.119577

M3 - Article

SN - 0009-2509

VL - 285

JO - Chemical Engineering Science

JF - Chemical Engineering Science

M1 - 119577

ER -

A rapid method for flow pattern, mixing time estimation and turbulent dissipation rates in turbulent stirred mixers based on 2-D network-of-zones (NoZ) model

Abstract

Keywords

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