The low Reynolds number translational friction of ellipsoids, cylinders, dumbbells, and hollow spherical caps. Numerical testing of the validity of the modified Oseen tensor in computing the friction of objects modeled as beads on a shell

A method is presented by which low Reynolds number translational friction coefficients of objects of arbitrary shape can be computed. Each object was modeled by a shell of small beads describing the surface of the object, and translational friction coefficients were computed using the modified Oseen tensor of Rotne and Prager [J. Chem. Phys. 50, 4831 (1969)]. The bead size, and therefore their number, was varied, and translational friction coefficients were extrapolated to zero bead size. The accuracy of the method in predicting translational friction coefficients was established by comparison to cases for which exact solutions are known. This leads to the conjecture that the method is exact in the limit of infinitesimal bead size. Finally, shell model calculations on cylinders were shown to agree closely with experimentally determined settling rates.

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