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Transverse motion of an elastic sphere in a shear field

Published online by Cambridge University Press:  29 March 2006

Christopher K. W. Tam  and
William A. Hyman
Christopher K. W. Tam
Affiliation:
Department of Mathematics, Florida State University, Tallahassee
William A. Hyman
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology
Present address: Bioengineering Program, Texas A & M University, College Station, Texas 77843.
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Abstract

The forces acting on an elastic particle suspended in a shear field, and moving relative to it, are found for the case in which there are small deformations from an initially spherical shape. The deformation is the result of the viscous stresses acting on the particle. Of principal interest is that there is a component of the force perpendicular to the free-stream direction, so that the particle will migrate across the undisturbed streamlines.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 59 , Issue 1 , 5 June 1973 , pp. 177 - 185
Copyright
© 1973 Cambridge University Press

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References

Brenner, H. 1964 Chem. Engng Sci. 19, 519.
Brenner, H. 1966 In Advances in Chemical Engineering, pp. 287–438. Academic.
Chaffey, C. E., Brenner, H. & Mason, S. G. 1965 Rheol. Acta, 4, 64.
Cox, R. G. & Mason, S. G. 1971 Ann. Rev. Fluid Mech. 3, 291.
Haber, S. & Hetsroni, G. 1971 J. Fluid Mech. 49, 257.
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice Hall.
Hetsroni, G., Haber, S. & Wacholder, E. 1970 J. Fluid Mech. 41, 689.
Hyman, W. A. & Skalak, R. 1970 Dept. Civil Engng & Engng Mech., Columbia University Tech. Rep. no. 5 (proj. no. NR 062–393).
Lamb, H. 1945 Hydrodynamics. Dover.
Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics. McGraw-Hill.
Reppetti, R. V. & Leonard, F. 1964 Nature, 203, 1346.
Rubinow, S. I. & Keller, J. B. 1961 J. Fluid Mech. 11, 447.
Saffman, P. G. 1965 J. Fluid Mech. 22, 385. (Corrigendum 1968 J. Fluid Mech. 31, 624.)
Segre’, G. & Silberberg, A. 1962 J. Fluid Mech. 14, 115, 136.
Tam, C. K. W. 1966 Ph.D thesis, California Institute of Technology.
Tam, C. K. W. 1969 J. Fluid Mech. 38, 537.
Whitmore, R. L. 1968 Rheology of the Circulation. Pergamon.