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TECHNICAL PAPERS

Effect of Body Aspect Ratio and Tank Size on the Hydrodynamics of a Rotating Bluff Body During the Initial Spin-Up Period

[+] Author and Article Information
D. Maynes, M. Butcher

Department of Mechanical Engineering, 435 CTB, Brigham Young University, Provo, UT 84602

J. Fluids Eng 123(3), 649-655 (Mar 30, 2001) (7 pages) doi:10.1115/1.1383550 History: Received May 16, 2000; Revised March 30, 2001
Copyright © 2001 by ASME
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References

Rutherford,  K., Mahmoudi,  M. S., Lee,  K. C., and Yianneskis,  M., 1996, “The Influence of Rushton Impeller Blade and Disk Thickness on the Mixing Characteristics of Stirred Vessels,” Trans. Inst. Chem. Eng., Part A, 74, pp. 369–378.
Gunkel,  A. A., and Weber,  M. E., 1975, “Flow Phenomena in Stirred Tanks,” AIChE J., 21, No. 5, pp. 931–949.
Roberts,  R. M., Gray,  M. R., Thompson,  R., and Kresta,  S. M., 1995, “The Effect of Impeller and Tank Geometry on Circulation Time Distributions in Stirred Tanks,” Trans. Inst. Chem. Eng., Part A, 73, pp. 78–86.
Rushton,  J. H., Costich,  E. W., and Everett,  H. J., 1950, “Power Characteristics of Mixing Impellers Part I,” Chem. Eng. Prog., 46, No. 8, pp. 395–404.
Rushton,  J. H., Costich,  E. W., and Everett,  H. J., 1950, “Power Characteristics of Mixing Impellers Part II,” Chem. Eng. Prog., 46, No. 8, pp. 467–477.
Wu,  H., and Patterson,  G. K., 1989, “Laser-Doppler Measurements of Turbulent-Flow Parameters in a Stirred Tank,” Chem. Eng. Sci., 44, No. 10, pp. 2207–2221.
Costes,  J., and Couderc,  J. P., 1988, “Study by Laser Doppler Anemometry of the Turbulent Flow Induced by a Rushton Trubine in a Sitrred Tank: Influence of the Size of the Units,” Chem. Eng. Sci., 43, No. 10, pp. 2765–2772.
Rice,  R. W., and Baud,  R. E., 1990, “The Role of Micromixing in the Scale-Up of Geometrically Similar Batch Reactors,” AIChE J., 36, No. 2, pp. 293–298.
Bourne,  J. R., and Dell’ava,  P., 1987, “Micro- and Macro-Mixing in Strired Tank Reactors of Different Sizes,” Chem. Eng. Res. Des., 65, pp. 180–186.
Tatterson, G. B., 1991, Fluid Mixing and Gas Dispersion in Agitated Tanks, McGraw-Hill, pp. 23–50.
Maynes,  D., Klewicki,  J. C., and McMurtry,  P. A., 1998, “Time Resolved Torque of Three Dimensional Rotating Bluff Bodies in a Cylindrical Tank,” ASME J. Fluids Eng., 120, pp. 23–28.
Maynes,  D., Klewicki,  J., and McMurtry,  P., 1999, “Spin-up in a Tank Induced by a Rotating Bluff Body,” J. Fluid Mech., 388, pp. 49–68.
Maynes,  D., 2000, “Molecular Tagging Velocimetry Characterization of Rapid KDP Crystal Growth,” AIChE J., 46, No. 3, pp. 450–461.
Nakaguchi,  H., Hashimoto,  K., and Muto,  S., 1968, “An Experimental Study on Aerodynamic Drag of Rectangular Cylinders,” Journal of the Japan Society of Aeronautical and Space Sciences, 16, pp. 1–5.
Blevins, R. D., 1984, Applied Fluid Dynamics Handbook, Van Nostrand Reinhold, pp. 319
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Figures

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Schematic of a typical experimental facility and an illustration of a bluff body
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Cm versus t* for L*=0.24 and h/L=1.41 for Re=4.71×104,7.85×104, and 1.26×105. This figure illustrates the three temporal regimes that exist in the spin up from rest to steady state of a rotating bluff body.
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Schematic illustration of the general behavior of the flow field at the body center in the r-θ plane and at a vertical plane passing through the center of the body in the r-z plane
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Build-up regime torque coefficient versus Reynolds number in the medium tank for (a) L*=0.14 and (b) L*=0.24. For each L*, results for five aspect ratios are shown.
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Build-up regime value of Pn versus h/L for 32 different cases representing all three tanks
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Build-up regime value of Cm versus h/L for 32 different cases representing all three tanks
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CD versus X/Y for uniform flow past 2-D rectangular cylinders
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Schematic of the r-z plane flow behavior in the vicinity of the body for four different bluff bodies with different aspect ratios
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Revolutions until decay regime begins plotted versus Re for L*=0.36 and h/L=1.89, 1.41, 0.71, and 0.41 in the medium tank
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Revolutions until decay begins versus h/L for 25 different bodies representing three L* values in the medium tank and two L* values in the small tank
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t* versus (L2/lx2)(h/lx)1/2 for 32 different bodies in the three tanks

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