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TECHNICAL PAPERS

Stability of Elliptical Cylinders in Two-Dimensional Channel Flow

[+] Author and Article Information
Yu Zhao, M. Keith Sharp

Department of Bioengineering, University of Utah, Salt Lake City, UT 84112

J Biomech Eng 122(5), 493-497 (May 30, 2000) (5 pages) doi:10.1115/1.1289990 History: Received March 23, 1999; Revised May 30, 2000
Copyright © 2000 by ASME
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References

Giddings,  J. C., 1993, “Field-Flow Fractionation: Analysis of Macromolecular, Colloidal, and Particulate Materials,” Science, 260, pp. 1456–1465.
Caldwell,  K. D., Cheng,  Z.-Q., Hradecky,  P., and Giddings,  J. C., 1984, “Separation of Human and Animal Cells by Steric Field-Flow Fractionation,” Sep. Sci. Technol., 13, pp. 637–645.
Yue,  V., Kowal,  R., Neargarder,  L., Bond,  L., Muetterties,  A., and Parsons,  R., 1994, “Miniature Field-Flow Fractionation System for Analysis of Blood Cells,” Clin. Chem., 40, No. 9, pp. 1810–1814.
Tong,  X., and Caldwell,  K. D., 1995, “Separation and Characterization of Red Blood Cells With Different Membrane Deformability Using Steric Field Flow Fractionation,” J. Chromatogr., 674, pp. 39–47.
Zhao,  Y., and Sharp,  M. K., 1999, “Finite Element Analysis of the Lift on a Deformable and Freely Rotating and Translating Cylinder in a Two-Dimensional Channel Flow,” ASME J. Biomech. Eng., 121, pp. 148–152.
Zhao,  Y., Sharp,  M. K., and James,  K., 1998, “Finite Element Analysis of the Transverse Lift on a Circular Cylinder in Two-Dimensional Channel Flow,” J. Eng. Mech., 124, No. 10, pp. 1151–1165.
Jeffery,  G. B., 1922, “On the Motion of Ellipsoidal Particles Immersed in a Viscous Fluid,” Proc. R. Soc. London, Ser. A, 102, pp. 161–179.
Goldsmith,  H. L., and Marlow,  J., 1972, “Flow Behavior of Erythrocytes I. Rotation and Deformation in Dilute Suspensions,” Proc. R Soc. London, Ser. B, 182, pp. 351–384.
Gavze,  E., and Shapiro,  M., 1998, “Motion of Inertial Spheroidal Particles in a Shear Flow Near a Solid Wall With Special Application to Aerosol Transport in Microgravity,” J. Fluid Mech., 371, No. 25, pp. 59–79.
Sugihara-Seki,  M., 1993, “The Motion of an Elliptical Cylinder in Channel Flow at Low Reynolds Numbers,” J. Fluid Mech., 257, pp. 575–596.
Tsang, W. C. O., 1993, “The Size and Shape of Human Red Blood Cells,” in: Fung, Y. C., Biomechanics: Mechanical Properties of Living Tissues, 2nd ed., Springer-Verlag, New York. p. 116.

Figures

Grahic Jump Location
Flow schematic with coordinate system origin on the cylinder
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Torque versus orientation at y0/H=0.1 for Re=20. Torque equilibrium occurred for a/b=4 near 6 deg orientation and for a/b=5 near 8 deg orientation. For a/b=2 and a/b=3, no torque balance was found.
Grahic Jump Location
Torque versus orientation at y0/H=0.2 for Re=20. No torque equilibrium was found for this transverse location.
Grahic Jump Location
Torque versus orientation at y0/H=0.3 for Re=20. No torque equilibrium was found for this transverse location.
Grahic Jump Location
Torque versus orientation at y0/H=0.4 for Re=20. No torque equilibrium was found for this transverse location.
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Lift versus transverse location with cylinder orientation 0 deg
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Lift versus transverse location with cylinder orientation 6 deg
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Lift versus transverse location with cylinder orientation 8 deg
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Lift versus transverse location with cylinder orientation 10 deg
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Lift and torque versus orientation for a cylinder with aspect ratio a/b=2 at transverse location y0/H=0.2. Lift and torque are positive for all orientations from 0 to 90 deg.
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Fluid inertia effect on torque for a cylinder of aspect ratio a/b=4 at transverse location y0/H=0.113. Note Re=10 is required for torque balance.
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Normal and tangential torque components on a cylinder of aspect ratio a/b=4 at transverse location y0/H=0.113. Tangential torque is independent of Re and normal torque increases with Re. Absolute value of (negative) normal torque shown.

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