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TECHNICAL PAPERS

Flow Past Rotating Cylinders: Effect of Eccentricity

[+] Author and Article Information
S. Mittal

Department of Aerospace Engineering, Indian Institute of Technology, Kanpur, UP 208 016, Indiae-mail: smittal@iitk.ac.in

J. Appl. Mech 68(4), 543-552 (Nov 29, 2000) (10 pages) doi:10.1115/1.1380679 History: Received August 07, 2000; Revised November 29, 2000
Copyright © 2001 by ASME
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References

Tokumaru,  P. T., and Dimotakis,  P. E., 1991, “Rotary Oscillation Control of Cylinder Wake,” J. Fluid Mech., 224, pp. 77–90.
Tokumaru,  P. T., and Dimotakis,  P. E., 1993, “The Lift of a Cylinder Executing Rotary Motions in a Uniform Flow,” J. Fluid Mech., 255, pp. 1–10.
Gad-el-Hak,  M., and Bushnell,  D. M., 1991, “Separation Control: Review,” ASME J. Fluids Eng., 113, pp. 5–29.
Goldstein, S., 1938, Modern Developments in Fluid Dynamics, Clarendon Press, Oxford, U.K.
Coutanceau,  M. and Menard,  C., 1985, “Influence of Rotation on the Near-Wake Development Behind an Impulsively Started Circular Cylinder,” J. Fluid Mech., 158, pp. 399–446.
Badr,  H. M., and Dennis,  S. C. R., 1985, “Time-Dependent Viscous Flow Past an Impulsively Started Rotating and Translating Circular Cylinder,” J. Fluid Mech., 158, pp. 447–488.
Badr,  H. M., Coutanceau,  M., Dennis,  S. C. R., and Menard,  C., 1990, “Unsteady Flow Past a Rotating Cylinder at Reynolds Numbers 103 and 104,” J. Fluid Mech., 220, pp. 459–484.
Chew,  Y. T., Cheng,  M., and Luo,  S. C., 1995, “A Numerical Study of Flow Past a Rotating Circular Cylinder Using a Hybrid Vortex Scheme,” J. Fluid Mech., 299, pp. 35–71.
Tezduyar,  T. E., Mittal,  S., Ray,  S. E., and Shih,  R., 1992, “Incompressible Flow Computations With Stabilized Bilinear and Linear Equal-Order-Interpolation Velocity-Pressure Elements,” Comput. Methods Appl. Mech. Eng., 95, pp. 221–242.
Hughes, T. J. R., and Brooks, A. N., 1979, “A Multi-Dimensional Upwind Scheme With No Crosswind Diffusion,” Finite Element Methods for Convection Dominated Flows, T. J. R. Hughes, ed., AMD-Vol. 34, ASME, New York, pp. 19–35.
Tezduyar, T. E., and Hughes, T. J. R., 1983, “Finite Element Formulations for Convective Dominated Flows With Particular Emphasis on the Compressible Euler Equations,” Proceedings of AIAA 21st Aerospace Sciences Meeting, AIAA Paper 83-0125, Reno, NV.
Tezduyar,  T. E., Behr,  M., and Liou,  J., 1992, “A New Strategy for Finite Element Computations Involving Moving Boundaries and Interfaces—The Deforming-Spatial-Domain/Space-Time Procedure: I. The Concept and the Preliminary Tests,” Comput. Methods Appl. Mech. Eng., 94, No. 3, pp. 339–351.
Tezduyar,  T. E., Behr,  M., Mittal,  S., and Liou,  J., 1992, “A New Strategy for Finite Element Computations Involving Moving Boundaries and Interfaces—The Deforming-Spatial-Domain/Space-Time Procedure: II. Computation of Free-Surface Flows, Two-Liquid Flows, and Flows With Drifting Cylinders,” Comput. Methods Appl. Mech. Eng., 94, No. 3, pp. 353–371.
Chen,  Yen-Ming, Ou,  Yu-Roung, and Pearlstein,  A. J., 1993, “Development of the Wake Behind A Circular Cylinder Impulsively Started Into Rotary and Rectilinear Motion,” J. Fluid Mech., 253, pp. 449–484.
Behr,  M., Hastreiter,  D., Mittal,  S., and Tezduyar,  T. E., 1995, “Incompressible Flow Past a Circular Cylinder: Dependence of the Computed Flow Field on the Location of the Lateral Boundaries,” Comput. Methods Appl. Mech. Eng., 123, pp. 309–316.

Figures

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Description of the eccentricity (e) of the rotating cylinder. The geometric center of the cylinder is at O while its axis of spin passes through R.
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Re=103,α=0.5 flow past a rotating cylinder: comparison of the instantaneous streamline patterns at various time instants from the present computations and those from Badr et al. 8
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Re=5,200 and 3800, α=5.0 flow past a rotating cylinder: streamlines for the steady-state solution. The potential flow solution is also shown for comparison.
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Re=5, 200 and 3800, α=5.0 flow past a rotating cylinder: variation of the x-component of velocity along normals located at the uppermost and lowest points on the cylinder. The potential flow solution is also shown for comparison.
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Re=5, 200 and 3800, α=5.0 flow past a rotating cylinder: vorticity field for the steady-state solution
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Re=200, 3800, α=5.0, e=0.005 D flow past an eccentrically rotating cylinder: time-histories of the lift and drag coefficients
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Re=200, α=5.0 flow past an eccentrically rotating cylinder: close-up of the time histories of the lift and drag coefficients for various values of the eccentricity
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Re=200, α=5.0 flow past an eccentrically rotating cylinder: summary of the aerodynamic coefficients for different values of the eccentricity
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Re=200, α=5.0 flow past an eccentrically rotating cylinder: vorticity field at four time instants during one period of rotation for the temporally periodic solution. The frames in the various rows from top to bottom correspond to the time instants when the geometric center of the cylinder is at its left-most, bottom-most, right-most, and top-most location, respectively, with respect to the center of rotation. The clockwise vorticity is shown in broken lines while the counterclockwise component is shown in solid lines.
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Re=3800, α=5.0, e=0.005 D flow past an eccentrically rotating cylinder: vorticity, pressure, and magnitude of velocity fields for the temporally periodic solution when the geometric center of the cylinder is at its left-most location with respect to the center of rotation

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