Bhattacharya S. 2008 a Cooperative motion of spheres arranged in periodic grids between two parallel walls. J. Chem. Phys. 128, 074709.
Bhattacharya S. 2008 b History force on an asymmetrically rotating body in Poiseuille flow inducing particle-migration across a slit-pore. Phys. Fluids 20, 093301.
Bhattacharya S. & Bławzdziewicz J. 2002 Image system for Stokes-flow singularity between two parallel planar walls. J. Math. Phys. 43, 5720–5731.
Bhattacharya S., Bławzdziewicz J. & Wajnryb E. 2005 a Hydrodynamic interactions of spherical particles in suspensions confined between two planar walls. J. Fluid Mech. 541, 263–292.
Bhattacharya S., Bławzdziewicz J. & Wajnryb E. 2005 b Many-particle hydrodynamic interactions in parallel-wall geometry: Cartesian-representation method. Physica A 356, 294–340.
Bhattacharya S., Bławzdziewicz J. & Wajnryb E. 2006 a Far-field approximation for hydrodynamic interactions in parallel-wall geometry. J. Comput. Phys. 212, 718–738.
Bhattacharya S., Bławzdziewicz J. & Wajnryb E. 2006 b Hydrodynamic interactions of spherical particles in Poiseuille flow between two parallel walls. Phys. Fluids 18 (5).
Brenner H. 1970 Pressure drop due to the motion of neutrally buoyant particles in duct flows. J. Fluid Mech. 43, 641–660.
Brenner H. & Happel J. 1958 Slow viscous flow past a sphere in a cylindrical tube. J. Fluid Mech. 4, 195–213.
Bungay P. M. & Brenner H. 1973 a Pressure drop due to the motion of a sphere near the wall bounding a Poisseuille flow. J. Fluid Mech. 60, 81–96.
Bungay P. M. & Brenner H. 1973 b The motion of a closely-fitting sphere in a fluid-filled tube. Intl J. Multiph. Flow 1, 25–56.
Chiu J. J., Wang D. L., Chien S., Skalak R. & Usami S. 1998 Effects of disturbed flow on endothelial cells. J. Biomech. Engng – Trans. ASME 120, 2–8.
Cichocki B. & Jones R. B. 1998 Image representation of a spherical particle near a hard wall. Physica A 258, 273–302.
Cichocki B., Jones R. B., Kutteh R. & Wajnryb E. 2000 Friction and mobility for colloidal spheres in Stokes flow near a boundary: the multipole method and applications. J. Chem. Phys. 112, 2548–61.
Cox R. G. & Brenner H. 1967 Effect of finite boundaries on Stokes resistance of an arbitrary particle. 3. Translation and rotation. J. Fluid Mech. 28, 391.
Cox R. G. & Mason S. G. 1971 Suspended particles in fluid flow through tubes. Annu. Rev. Fluid Mech. 3, 291–316.
Drazer G., Khusid B., Koplik J. & Acrivos A. 2005 Wetting and particle adsorption in nanoflows. Phys. Fluids 17, ARTN:017102.
Durlofsky L. J. & Brady J. F. 1989 Dynamic simulation of bounded suspensions of hydrodynamically interacting particles. J. Fluid. Mech. 200, 39–67.
Durlofsky L., Brady J. F. & Bossis G. 1987 Dynamic simulation of hydrodynamically interacting particles. J. Fluid Mech. 180, 21–49.
Falade A. & Brenner H. 1985 Stokes wall effects for particles moving near cylindrical boundaries. J. Fluid Mech. 154, 145–162.
Felderhof B. U. & Jones R. B. 1989 Displacement theorems for spherical solutions of the linear Navier–Stokes equations. J. Math. Phys. 30, 339–42.
Goldman A. J., Cox R. G. & Brenner H. 1967 Slow viscous motion of a sphere parallel to a plane wall – I. Motion through a quiscent fluid. Chem. Engng Sci. 22, 637–651.
Greenstein T. & Happel J. 1968 Theoretical study of the slow motion of a sphere and a fluid in a cylindrical tube. J. Fluid Mech. 34, 705–710.
Greenstein T. & Happel J. 1970 Viscosity of dilute uniform suspensions of sphere spheres. Phys. Fluids 13, 18–21.
Higdon J. J. L. & Muldowney G. P. 1995 Resistance functions for spherical particles, droplets and bubbles in cylindrical tubes. J. Fluid Mech. 298, 193–210.
Ladd A. J. C. 1988 Hydrodynamic interactions in suspensions of spherical particles. J. Chem. Phys. 88, 5051.
Lamb H. 1945 Hydrodynamics. Dover.
Lunsmann W. J., Genieser L., Armstrong R. C. & Brown R. A. 1993 Finite-element analysis of steady viscoelastic flow around a sphere in a tube-calculations with constant viscosity models. J. Non-Newton. Fluid Mech. 48, 63–99.
Morris J. F. & Brady J. F. 1998 Pressure-driven flow of a suspension: buoyancy effects. Intl J. Multiph. Flow 24, 105–30.
Nott P. R. & Brady J. F. 1994 Pressure-driven flow of suspensions – simulation and theory. J. Fluid Mech. 275, 157–199.
O'Neill M. E. & Stewartson K. 1967 On the slow motion of a sphere parallel to a nearby plane wall. J. Fluid Mech. 27, 705–724.
Pozrikidis C. 2005 Numerical simulation of cell motion in tube flow. Ann. Biomed. Engng 33, 165–178.
Queguiner C. & BarthesBiesel D. 1997 Axisymmetric motion of capsules through cylindrical channels. J. Fluid Mech. 348, 349–376.
Sierou A. & Brady J. F. 2001 Accelerated Stokesian dynamics simulations. J. Fluid Mech. 448, 115–46.
SugiharaSeki M. 1996 The motion of an ellipsoid in tube flow at low Reynolds numbers. J. Fluid Mech. 324, 287–308.
SugiharaSeki M. & Skalak R. 1997 Asymmetric flows of spherical particles in a cylindrical tube. Biorheology 34, 155–169.
Sushko N. & Cieplak M. 2001 Motion of grains, droplets, and bubbles in fluid-filled nanopores. Phys. Rev. E 64.
Tozeren H. 1982 Torque on eccentric spheres flowing in tubes. J. Appl. Mech. Trans. ASME 49, 279–283.
Tozeren H. 1983 Drag on eccentrically positioned spheres translating and rotating in tubes. J. Fluid Mech. 129, 77–90.
Wang H. & Skalak R. 1969 Viscous flow in a cylindrical tube containing a line of spherical particles. J. Fluid Mech. 38, 75–96.