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Original Articles

CALCULATION OF THE GRAND MOBILITY FUNCTIONS FOR TWO UNEQUAL RIGID SPHERES IN LOW-REYNOLDS NUMBER FLOW BY THE MULTIPOLE-MOMENT METHOD

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Pages 189-206 | Published online: 24 Feb 2007

REFERENCES

  • J. Happel and H. Brenner , Low Reynolds number hydrodynamics , Prentice-Hall , New Jersey , 1965 .
  • S. Kim and S. J. Karrila , Microhydrodyamics Princples and Selected Applicaions , Butterworth-Heinemann , 1991 .
  • D. J. Jeffrey and Y. Onishi , Calculation of the resistance and mobility functions for two unequal rigid spheres in low-Reynolds-number flow , J. Fluid Mech. , vol. 139 , pp. 261 – 290 , 1984 .
  • D. J. Jeffrey , The extended resistance functions for two unequal rigid spheres in low Reynolds-number flow , Phys. Fluids A , vol. 4 , pp. 16 – 29 , 1992 .
  • A. B. Glendinning and W. B. Russel , A pairwise additive description of sedimentation and diffusion in concentrated suspensions of hard spheres , J. Colloid Interface Sci. , vol. 89 , pp. 124 – 143 , 1982 .
  • G. Bossis and J. F. Brady , Dynamic simulation of sheared suspensions. I. General method , J. Chem. Phys. , vol. 80 , pp. 5141 – 5154 , 1984 .
  • J. F. Brady and G. Bossis , The rheology of concentrated suspensions of spheres in simple shear flow by numerical simulation , J. Fluid Mech. , vol. 155 , pp. 105 – 129 , 1985 .
  • J. F. Brady and G. Bossis , Stokesian dynamics , Annu. Rev. Fluid Mech. , vol. 20 , pp. 111 – 157 , 1988 .
  • L. Durlofsky , J. F. Brady and G. Bossis , Dynamic simulation of hydrodynamically interacting particles , J. Fluid Mech. , vol. 180 , pp. 21 – 49 , 1987 .
  • S. Weinbaum , P. Ganatos and Z. Y. Yan , Numerical multipole and boundary integral equation techniques in Stokes flow , Annu. Rev. Fluid Mech. , vol. 22 , pp. 275 – 316 , 1990 .
  • O. A. Ladyzhenskaya , The mathematical theory of viscous incompressible flow , Gordon & Breach , New York , 1963 .
  • A. T. Chwang and Y. T. Wu , Hydromechanics of low-Reynolds-number flow. Part 2. Singularity method for Stokes flows , J. Fluid Mech. , vol. 67 , pp. 787 – 815 , 1975 .
  • G. K. Batchelor and J. T. Green , The hydrodynamic interaction of two small freely moving spheres in a linear flow field , J. Fluid Mech. , vol. 56 , pp. 375 – 400 , 1972 .
  • S. Kim and R.T. Mifflin , The resistance and mobility functions of two equal spheres in low-Reynolds-number flow , Phys. Fluids A , vol. 28 , pp. 2033 – 2045 , 1985 .
  • B. J. Yoon and S. Kim , Note on the direct calculation of mobility functions for two equal-sized spheres in Stokes flow , J. Fluid Mech. , vol. 185 , pp. 437 – 446 , 1987 .
  • C. Chang and R. L. Powell , Dynamic simulation of Bimodal suspension of hydrodynamically interacting spherical particles , J. Fluid Mech. , vol. 253 , pp. 1 – 25 , 1993 .

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