Turbulent flow in stirred tanks. Part II: A two‐scale model of turbulence

Jiří Placek; L. L. Tavlarides; G. W. Smith; Ivan Fořt

doi:10.1002/aic.690321103

Turbulent flow in stirred tanks. Part II: A two‐scale model of turbulence

Jiří Placek, L. L. Tavlarides, G. W. Smith, Ivan Fořt

Department of Biomedical & Chemical Engineering

Research output: Contribution to journal › Article › peer-review

61 Scopus citations

Abstract

The two‐scale turbulence concept is recommended for modeling the turbulence in a baffled vessel equipped with a Rushton‐type turbine impeller. A three‐equation isotropic turbulence model is proposed that employs the balance equations for: the kinetic energy of the large scale vortices; the kinetic energy of the inertial subrange eddies; and the dissipation rate of the small‐scale turbulence. The energy transfer rate from the large‐scale vortices is prescribed algebraically. Flow patterns are modeled by solving the transport equations for vorticity, stream function, and tangential momentum. The Reynolds stresses are modeled by means of the effective viscosity, based on the three‐equation model of turbulence. The calculated profiles of the mean velocity at the tank wall agree with experimental data obtained in the same system by means of a Pitot tube.

Original language	English (US)
Pages (from-to)	1771-1786
Number of pages	16
Journal	AIChE Journal
Volume	32
Issue number	11
DOIs	https://doi.org/10.1002/aic.690321103
State	Published - Nov 1986

ASJC Scopus subject areas

Biotechnology
Environmental Engineering
General Chemical Engineering

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title = "Turbulent flow in stirred tanks. Part II: A two‐scale model of turbulence",

abstract = "The two‐scale turbulence concept is recommended for modeling the turbulence in a baffled vessel equipped with a Rushton‐type turbine impeller. A three‐equation isotropic turbulence model is proposed that employs the balance equations for: the kinetic energy of the large scale vortices; the kinetic energy of the inertial subrange eddies; and the dissipation rate of the small‐scale turbulence. The energy transfer rate from the large‐scale vortices is prescribed algebraically. Flow patterns are modeled by solving the transport equations for vorticity, stream function, and tangential momentum. The Reynolds stresses are modeled by means of the effective viscosity, based on the three‐equation model of turbulence. The calculated profiles of the mean velocity at the tank wall agree with experimental data obtained in the same system by means of a Pitot tube.",

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AU - Fořt, Ivan

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AB - The two‐scale turbulence concept is recommended for modeling the turbulence in a baffled vessel equipped with a Rushton‐type turbine impeller. A three‐equation isotropic turbulence model is proposed that employs the balance equations for: the kinetic energy of the large scale vortices; the kinetic energy of the inertial subrange eddies; and the dissipation rate of the small‐scale turbulence. The energy transfer rate from the large‐scale vortices is prescribed algebraically. Flow patterns are modeled by solving the transport equations for vorticity, stream function, and tangential momentum. The Reynolds stresses are modeled by means of the effective viscosity, based on the three‐equation model of turbulence. The calculated profiles of the mean velocity at the tank wall agree with experimental data obtained in the same system by means of a Pitot tube.

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Turbulent flow in stirred tanks. Part II: A two‐scale model of turbulence

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