Abstract
The potential flow solution for flow of fluid past dispersed objects in a “unit cell” is used to derive several macroscopic properties, including the mean pressures in the phases and on the walls, the momentum and kinetic energy density, the force function and mechanical energy flux. These properties are derived from the “resistivity” of the unit cell, which has a tensorial character in general. Various macroscopic forms of Bernoulli's equation relate the properties. Equations of motion for uniform arrays of cells are derived. Various other features, such as minimization of kinetic energy density and forces at concentration jumps, are analyzed.
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