Viscous Flow past Multiple Planar Arrays of Small Spheres

  • Ishii Katsuya
    Department of Physics, Faculty of Science, The University of Tokyo

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  • Viscous Flow past Multiple Planar Array

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The flow through a single or multiple parallel planar periodic arrays of small spheres is considered on the basis of the Stokes equation. In analysis the relation between the force on a sphere and the average fluid velocity is obtained. As examples, the flows through several semi-infinite lattices, a single lattice and two lattices are discussed.

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