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TECHNICAL PAPERS

Three-Dimensional Instabilities in Flow Past a Rotating Cylinder

[+] 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 71(1), 89-95 (Mar 17, 2004) (7 pages) doi:10.1115/1.1631032 History: Received December 18, 2002; Revised April 21, 2003; Online March 17, 2004
Copyright © 2004 by ASME
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References

Prandtl,  L., 1925, “The Magnus Effect and Windpowered Ships,” Naturwissenschaften, 13, pp. 93–108.
Mittal,  S., and Kumar,  B., 2003, “Flow Past a Rotating Cylinder,” J. Fluid Mech., 476, pp. 303–334.
Goldstein, S., 1938, Modern Developments in Fluid Dynamics, Clarendon Press, Oxford, UK.
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.
Chew,  Y. T., Cheng,  M., and Luo,  S. C., 1995, “A Numerical Study of Flow Past a Rotating Circular Using a Hybrid Vortex Scheme,” J. Fluid Mech., 299, pp. 35–71.
Glauert,  W. B., 1957, “The Flow Past a Rapidly Rotating Circular Cylinder,” Proc. R. Soc. London, Ser. A, 242, pp. 108–115.
Chen, Yen-Ming, Ou, Yuh-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.
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.
Mo-Hong,  Chou, 2000, “Numerical Study of Vortex Shedding From a Rotating Cylinder Immersed in a Uniform Flow Field,” Int. J. Numer. Methods Fluids, 32, pp. 545–567.
Mittal,  S., 2001, “Flow Past Rotating Cylinders: Effect of Eccentricity,” ASME J. Appl. Mech., 68, pp. 543–552.
Mittal,  S., 2001, “Control of Flow Past Bluff Bodies Using Rotating Control Cylinders,” J. Fluids Struct., 15(2), pp. 291–326.
Stansby,  P. K., and Rainey,  R. C. T., 2001, “A CFD Study of the Dynamic Response of a Rotating Cylinder in a Current,” J. Fluids Struct., 15, pp. 513–521.
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.
Mittal,  S., 2000, “On the Performance of High Aspect-Ratio Elements for Incompressible Flows,” Comput. Methods Appl. Mech. Eng., 188, pp. 269–287.
Kalro,  V., and Tezduyar,  T. E., 1997, “Parallel 3D Computation of Unsteady Flows Around Circular Cylinders,” Parallel Comput., 23, pp. 1235–1248.
Mittal,  S., 2001, “Computation of 3D Flows Past Circular Cylinders of Low Aspect Ratio,” Phys. Fluids, 13, pp. 177–191.

Figures

Grahic Jump Location
Re=200,α=5 flow past a rotating cylinder: closeup view of the vorticity (left) and magnitude of velocity (right) for the fully developed two-dimensional flow. The freestream flow is from left to right and the cylinder is rotating in a counterclockwise sense. Solid lines denote positive while the broken lines show negative vorticity.
Grahic Jump Location
Re=200,α=5 flow past a rotating cylinder: time histories of the lift and drag coefficients for two-dimensional and three-dimensional computations with cylinders of various aspect ratios (AR)
Grahic Jump Location
Re=200,α=5 flow past a rotating cylinder for various aspect ratios: variation of the spanwise averaged pressure coefficient on the surface of cylinder
Grahic Jump Location
Re=200,α=5 flow past a rotating cylinder: isosurfaces of the spanwise component of vorticity (=0.4) for various aspect ratios. The top frame corresponds to the simulation with slip walls as the end condition. For the other three frames, the upper wall is a no-slip wall.
Grahic Jump Location
Re=200,α=5,AR=15 flow past a rotating cylinder with a no-slip end wall: isosurfaces of the spanwise component of vorticity (=0.4) at various time instants following an impulsive start

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