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Hydrodynamic interaction between two arbitrarily shaped colloids
Tomer Goldfriend [1] , Haim Diamant [2]
[1] School of Physics and Astronomy, Tel Aviv University
[2] School of Chemistry, Tel Aviv University
We investigate theoretically the instantaneous hydrodynamic interaction between two identical, arbitrarily shaped particles suspended in a viscous fluid. We derive a general expression for the interaction at large inter-particle distances and apply it to two problems: (a) The orientational alignment of particles by external forcing; we show that the hydrodynamic interaction degrades the alignment, restricting its feasibility to low volume fractions. (b) The symmetry-based criteria for two particles to hydrodynamically attract or repel each other under identical forcing (hydrodynamic pseudo-potentials).