Characterization of Single Phase Flows in Stirred Tanks via Computer Automated Radioactive Particle Tracking (CARPT)

Single phase flows in stirred tanks have been extensively characterized using different experimental techniques like Hot Wire Anemometry1, Laser Doppler Anemometry2, and Digital Particle Imaging Velocimetry3. None of these techniques however, show much promise for the interrogation of opaque multiphase flows. Hence, little or no information of the local fluid dynamics of multiphase flows in stirred tanks is available. Non-optical techniques like Computer Automated Radioactive Particle Tracking (CARPT) and Computed Tomography (CT) have been successfully applied to probe a variety of multiphase reactors4–5 such as bubble columns6–7, risers8 etc., over a range of dispersed phase holdups. CARPT provides the local fluid dynamic information such as velocities and the turbulence parameters throughout the system that is investigated. CT provides time averaged local dispersed phase holdup profiles in various planes of the entire reactor. In this study, it is proposed to extend these techniques to characterize gas-liquid flows in stirred tank reactors. As a first step, CARPT is implemented in characterization of single phase flows in stirred tanks. CARPT experiments have been performed with water at 150 rpm in a 0.20m cylindrical tank quipped with a six bladed Rushton turbine (0.067m dia) conforming to the standard Holland and Chapman9 configuration. The CARPT technique is shown to capture some of the important flow phenomena observed in such flows, like the two recirculating loops above and below the impeller and the dead zones at the bottom of the tank. Radial pumping numbers determined by CARPT (0.67 near the impeller tip) compare reasonably well with data reported in the literature. Comparison of the complete three dimensional mean velocity profiles from CARPT with similar PIV, LDA and other data reported in the literature reveals that CARPT captures the right order of magnitude of the radial and the tangential velocities. Comparisons of the fluctuating velocity components, like the root mean squared (rms) velocity and the turbulent kinetic energy, suggest that the CARPT experiments were limited by large tracer particle size (dp = 2.3 mm) from sampling the high frequency fluctuations of the fluid. In addition, the three dimensional profiles of the components of the Reynolds stress tensor are measured. The detailed comparisons, even with the large tracer particle, indicate that CARPT measurements capture all the important qualitative features of the flow and quantitatively capture the right order of magnitude of the mean flow parameters. The quantitative comparisons suggest that the current size of the tracer particle restricts it from responding completely to the fluid phase fluctuations. Some Lagrangian measures of the fluid dynamics like the ‘Sojourn’ time distributions (STDs) in different zones of the reactor, Circulation Time Distributions (CTDs), Particle Return Maps to specific planes, Poincarre sections and Hurst exponents are evaluated from the collected CARPT data.

[1]  Carl M. Stoots,et al.  Mean velocity field relative to a Rushton turbine blade , 1995 .

[2]  Jpk Seville,et al.  Fluid trajectories in a stirred vessel of non-newtonian liquid using positron emission particle tracking , 2000 .

[3]  K. Van't Riet,et al.  The trailing vortex system produced by Rushton turbine agitators , 1975 .

[4]  F. A. Holland,et al.  Liquid Mixing and Processing in Stirred Tanks , 1966 .

[5]  D. Wolf,et al.  Velocity profiles and pumping capacities for turbine type impellers , 1968 .

[6]  Michael Yianneskis,et al.  An experimental study of the steady and unsteady flow characteristics of stirred reactors , 1987, Journal of Fluid Mechanics.

[7]  G. Batchelor,et al.  The theory of homogeneous turbulence , 1954 .

[8]  Arun S. Mujumdar,et al.  Turbulence parameters in a stirred tank , 1970 .

[9]  Michael Yianneskis,et al.  On the structure of the trailing vortices around rushton turbine blades , 1993 .

[10]  Bjørn H. Hjertager,et al.  Particle image velocimetry measurements in an aerated stirred tank , 1999 .

[11]  Ivan Fořt,et al.  Turbulent characteristics of discharge flow from the turbine impeller , 1978 .

[12]  Michael Yianneskis,et al.  The Influence of Rushton Impeller Blade and Disk Thickness on the Mixing Characteristics of Stirred Vessels , 1996 .

[13]  H. Hurst METHODS OF USING LONG-TERM STORAGE IN RESERVOIRS. , 1956 .

[14]  Kevin J. Myers,et al.  A Digital Particle Image Velocimetry Investigation of Flow Field Instabilities of Axial-Flow Impellers , 1997 .

[15]  J. R. Wallis,et al.  Robustness of the rescaled range R/S in the measurement of noncyclic long run statistical dependence , 1969 .

[16]  F. Lusseyran,et al.  Experimental scanning for simplifying the model of a stirred-tank flow , 1998 .

[17]  J. Couderc,et al.  Study by laser Doppler anemometry of the turbulent flow induced by a Rushton turbine in a stirred tank: Influence of the size of the units—I. Mean flow and turbulence , 1988 .

[18]  Sailesh Kumar,et al.  Gas‐holdup measurements in bubble columns using computed tomography , 1997 .

[19]  I. Fort,et al.  Flow of liquid in a cylindrical vessel with a turbine impeller and radial baffles , 1982 .

[20]  Laurent Falk,et al.  Characterization of stirred vessel hydrodynamics by three dimensional trajectography , 1998 .

[21]  Milorad P. Dudukovic,et al.  A Lagrangian description of flows in stirred tanks via computer-automated radioactive particle tracking (CARPT) , 2001 .

[23]  M. Duduković,et al.  Flow mapping in bubble columns using CARPT , 1990 .

[24]  J. Chaouki,et al.  Noninvasive Tomographic and Velocimetric Monitoring of Multiphase Flows , 1997 .

[25]  Bjørn H. Hjertager,et al.  LDA measurements and CFD modelling of gas-liquid flow in a stirred vessel , 1996 .

[26]  G. K. Patterson,et al.  Laser-Doppler measurements of turbulent-flow parameters in a stirred mixer , 1989 .

[27]  G. Zhou,et al.  Distribution of Energy Between Convective and Turbulent-Flow for 3 Frequently Used Impellers , 1996 .

[28]  Alex C. Hoffmann,et al.  IChemE Symposium Series , 1996 .

[29]  Milorad P. Dudukovic,et al.  Liquid backmixing in bubble columns , 1992 .

[30]  Alvin W. Nienow,et al.  An LDA study of the radial discharge velocities generated by a Rushton turbine : Newtonian fluids, Re ≥ 5 , 1993 .

[31]  Michael Schäfer,et al.  Detailed LDV Measurements for Visualization of the Flow Field Within a Stirred-Tank Reactor Equipped with a Rushton Turbine , 1997 .

[32]  Shantanu Roy,et al.  Tomographic and Particle Tracking Studies in a Liquid-Solid Riser , 1997 .