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TECHNICAL PAPERS

Analysis of the Immediate Boundary Conditions of an Axial Flow Impeller

[+] Author and Article Information
David A. Johnson

Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

J. Fluids Eng 123(4), 771-779 (Aug 08, 2001) (9 pages) doi:10.1115/1.1412846 History: Received December 14, 2000; Revised August 08, 2001
Copyright © 2001 by ASME
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References

LaFontaine,  R. F., and Shepherd,  I. C., 1996, “Particle Image Velocimetry Applied to a Stirred Vessel,” Exp. Therm. Fluid Sci., 12, pp. 256–264.
Bittorf,  K. J., and Kresta,  S. M., 2000, “Active Volume of Mean Circulation for Stirred Tanks Agitated with Axial Impellers,” Chem. Eng. Sci., 55, pp. 1325–1335.
Hockey,  R. M., and Nouri,  J. M., 1996, “Turbulent Flow in a Baffled Vessel Stirred by a 60° Pitched Blade Impeller,” Chem. Eng. Sci., 51, pp. 4405–4421.
Stoots,  C. M., and Calabrese,  R. V., 1995, “Mean Velocity Field Relative to a Rushton Turbine Blade,” AIChE J., 41, pp. 1–11.
Hill,  D. F., Sharp,  K. V., and Adrian,  R. J., 2000, “Stereoscopic Particle Image Velocimetry Measurements of the Flow Around a Rushton Turbine,” Exp. Fluids, 29, pp. 478–485.
Wu,  H., Patterson,  G. K., and vanDoorn,  M., 1989, “Distribution of Turbulence Energy Dissipation Rates in a Rushton Turbine Stirred Mixer,” Exp. Fluids , 8, pp. 153–160.
Ali,  A. M., Yuan,  H., Dickey,  D., and Tatterson,  G. B., 1981, “Liquid Dispersion Mechanisms in Agitated Tanks: Part I. Pitched Blade Turbine,” Chem. Eng. Comm., 10, pp. 205–214.
Chang,  T. P. K., Sheu,  Y. H. E., Tatterson,  G. B., and Dickey,  D. S., 1981, “Liquid Dispersion Mechanisms in Agitated Tanks: Part II. Straight Blades and Disc Style Turbines,” Chem. Eng. Comm., 10, pp. 215–222.
Rao,  M. A., and Broadkey,  R. S., 1972, “Continuous Flow Stirred Tank Turbulence Parameters in the Impeller Stream,” Chem. Eng. Sci., 27, pp. 137–156.
Kresta,  S. M., and Wood,  P. E., 1993, “The Flow Field Produced by a Pitched Blade Turbine: Characterization of the Turbulence and Estimation of the Dissipation Rate,” Chem. Eng. Sci., 48, pp. 1761–1774.
Kresta,  S. M., 1998, “Turbulence in Stirred Tanks: Anisotropic, Approximate, and Applied,” Can. J. Chem. Eng., 76, pp. 563–576.
Sheng,  J., Meng,  H., and Fox,  R. O., 1998, “Validation of CFD Simulations of a Stirred Tank Using Particle Image Velocimetry Data,” Can. J. Chem. Eng., 76, pp. 611–625.
Pereira,  J. C. F., and Sousa,  J. M. M., 1995, “Experimental and Numerical Investigation of Flow Oscillations in a Rectangular Cavity,” ASME J. Fluids Eng., 117, pp. 68–74.
Johnson, D. A., 1988, “An Experimental and Numerical Investigation of Turbulent Recirculating Flow Within a Cavity With an Inlet Wall Jet,” M. Eng. thesis, McMaster University, Hamilton, Canada.
Prasad,  A. K., Adrian,  R. J., Landreth,  C. C., and Offutt,  P. W., 1992, “Effect of Resolution on the Speed and Accuracy of Particle Image Velocimetry Interrogation,” Exp. Fluids, 13, pp. 105–116.
Guezennec,  Y. G., and Kiritsis,  N., 1990, “Statistical Investigation of Errors in Particle Image Velocimetry,” Exp. Fluids, 10, pp. 138–146.
Westerweel,  J., 1997, “Fundamentals of Digital Particle Image Velocimetry,” Meas. Sci. Technol., 8, pp. 1379–1392.
Zhou,  G., and Kresta,  S. M., 1996, “Distribution of Energy Between Convective and Turbulent Flow for Three Frequently Used Impellers,” Trans. Inst. Chem. Eng., Part A, 74, pp. 379–389.
Ranade,  V. V., and Joshi,  J. B., 1989, “Flow Generated by Pitched Blade Turbines I: Measurements Using Laser Doppler Anemometer,” Chem. Eng. Comm., 81, pp. 197–224.
Wu,  H., and Patterson,  G. K., 1989, “Laser Doppler Measurements of Turbulent Flow Parameters in a Stirred Mixer,” Chem. Eng. Sci., 44, pp. 2207–2221.
Yianneskis,  M., Popiolek,  Z., and Whitelaw,  J. H., 1987, “An Experimental Study of the Steady and Unsteady Flow Characteristics of Stirred Reactors,” J. Fluid Mech., 175, pp. 537–555.
Hinze, J. O., 1975, Turbulence, McGraw-Hill, NY.
Sharp, K. V., Kim, K. C., and Adrian, R., 2000, “Dissipation Estimation Around a Rushton Turbine Using Particle Image Velocimetry,” Laser Techniques Applied to Fluid Mechanics: selected papers from the 9th Intl. Symp. 1998, Springer-Verlag.
Jaworski,  Z., Nienow,  A. W., and Dyster,  K. N., 1996, “An LDA Study of the Turbulent Flow Field in a Baffled Vessel Agitated by an Axial, Down-pumping Hydrofoil Impeller,” Can. J. Chem. Eng., 74, pp. 3–15.
Myers,  K. J., Ward,  R. W., and Bakker,  A., 1997, “A Digital Particle Image Velocimetry Investigation of Flow Field Instabilities of Axial-Flow Impellers,” ASME J. Fluids Eng., 119, pp. 623–632.
Schäfer,  M., Yianneskis,  M., Wachter,  P., and Durst,  F., 1998, “Trailing Vortices Around a 45° Pitched Blade Impeller,” AIChE J., 44, pp. 1233–1246.

Figures

Grahic Jump Location
Impeller configuration- one of three equally spaced blades shown
Grahic Jump Location
Experimental configuration all dimensions referenced to the impeller diameter D (0.152 m)
Grahic Jump Location
Average velocities Vr* and Vy* in control volume ReD=77,000 ▴LDA measurements • PIV measurements dashed line indicates location of measurements. Blade schematic included for reference.
Grahic Jump Location
Average tangential velocities vs R*,Vθ* inlet at Y*=0.167 (▪ PIV-inlet) and exit at Y*=−0.083 (▴ LDA measurements • PIV measurements), ReD=77,000
Grahic Jump Location
RMS velocities νr* and νy* in control volume ReD=77,000 ▴ LDA measurements • PIV measurements Dashed line indicates location of measurements. Blade schematic included for reference.
Grahic Jump Location
RMS velocity components (−) vs R* at Y*=−0.083 (▴ νr*, ▪ νθ* and ♦ νy* and kinetic energy k* •) ReD=77,000
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Measured Reynolds stresses (m2 /s2 ) versus R* at Y*=−0.083ReD=77,000 (♦ vrvy and ▪ vθvy)
Grahic Jump Location
Integral time scales (s) in r, θ, y directions versus R* at Y*=−0.083ReD=77,000 (▪ radial, ▴ tangential, ♦ axial)
Grahic Jump Location
Integral length scales (−) in r, θ, y directions versus R* at Y*=−0.083ReD=77,000 (▪ radial, ▴ tangential, ♦ axial)
Grahic Jump Location
Taylor time scales (s) in r, θ, y directions versus R* at Y*=−0.083ReD=77,000 (▪ radial, ▴ tangential, ♦ axial)
Grahic Jump Location
Taylor length scales (−) in r, θ, y directions versus R* at Y*=−0.083ReD=77,000 (▪ radial, ▴ tangential, ♦ axial)
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Dissipation ε (m2 /s3 ) versus R* at Y*=−0.083ReD=77,000 utilizing four methods (▪ Eq. (8), ♦ Eq. (9), ▴ Eq. (10), x equation (11))
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Dimensionless averaged velocities and contours of k2*,r−θ plane at Y*=−0.083 (looking in +y direction) blade located at vertical R* axis rotating counterclockwise triggered PIV data ReD=77,000 dimensionless reference vector 0.25
Grahic Jump Location
Dimensionless averaged velocities and contours of k2*x−y plane at R*=0.41 blade moving to the left of figure triggered PIV data ReD=77,000 dimensionless reference vector 0.25
Grahic Jump Location
Dimensionless averaged velocities r−y plane at θ=30° after blade passage (blade moving out of page) triggered PIV data ReD=77,000 Dimensionless reference vector 0.25
Grahic Jump Location
Contours of k2*r−y plane at θ=30° after blade passage (blade moving out of page) triggered PIV data ReD=77,000

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