https://www.cell.com/biophysj/pdf/S0006-3495(93)81129-9.pdf

The role of hydrodynamic interaction in the locomotion of microorganisms

https://www.cell.com/biophysj/pdf/S0006-3495(04)74267-8.pdf

A Transient Diffusion Model Yields Unitary Gap Junctional Permeabilities from Images of Cell-to-Cell Fluorescent Dye Transfer Between Xenopus Oocytes

Settling of spherical particles in unbounded and confined surfactant-based shear thinning viscoelastic fluids: An experimental study

Settling velocity of drill cuttings in drilling fluids: A review of experimental, numerical simulations and artificial intelligence studies

Translation and rotation of spheres settling in square and circular conduits: Experiments and numerical predictions

Numerical simulations of a spherical particle sedimenting in circular, triangular and square conduits containing a viscous, inertialess, Newtonian fluid were investigated using the Boundary Element Method (BEM). Settling velocities and pressure drops for spheres falling along the centre-lines of the conduits were computed for a definitive range of sphere sizes. The numerical simulations for the settling velocities showed good agreement with existing experimental data. The most accurate analytic solution for a sphere settling along the axis of a circular conduit produced results which were almost indistinguishable from the present BEM calculations. For a sphere falling along the centre-line of a square conduit, the BEM calculations for small spheres agreed well with analytic results. No analytic results for a sphere falling along the axis of a triangular conduit were available for comparison. Extrapolation of the BEM predictions for the pressure drops, to infinitely small spheres, showed remarkable agreement with analytic results. For the circular conduit, the sphere's settling velocity and angular velocity were computed as a function of drop position for small, medium and large spheres. Excellent agreement with a reflection solution was achieved for the small sphere. In addition, end effects were investigated for centre-line drops and compared where possible with available experimental data and analytic results.

A. L. Graham

Papers

Boundary element simulations of spheres settling in circular, square and triangular conduits