Abstract
Abstract Net first and second dipole reflections are computed for several finite and infinite arrays of cylinders or spheres held stationary in a uniform potential flow. The polarizability and resistivity, from which the macroscopic properties of a two-phase flow with corresponding microstructure can be derived, are deduced for the infinite arrays. Finite arrays resemble infinite ones apart from edge and end effects, which are small for some geometries. The added mass coefficient for a regular monolayer of spheres is obtained and shown to be very close to Smythe's (1964) solution for a sphere in a circular tube. Similar agreement is obtained between the solutions for a cubical array of spheres and for a row of spheres in a circular tube.
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