Hydrodynamic interactions between two forced objects of arbitrary shape. II. Relative translation.

@article{Goldfriend2016HydrodynamicIB,
  title={Hydrodynamic interactions between two forced objects of arbitrary shape. II. Relative translation.},
  author={Tomer Goldfriend and Haim Diamant and Thomas A. Witten},
  journal={Physical review. E},
  year={2016},
  volume={93},
  pages={
          042609
        }
}
We study the relative translation of two arbitrarily shaped objects, caused by their hydrodynamic interaction as they are forced through a viscous fluid in the limit of zero Reynolds number. It is well known that in the case of two rigid spheres in an unbounded fluid, the hydrodynamic interaction does not produce relative translation. More generally, such an effective pair-interaction vanishes in configurations with spatial inversion symmetry; for example, an enantiomorphic pair in mirror image… 

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