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Slow viscous flow through square and equilateral triangular arrays of circular cylinders are solved by eigenfunction expansions and collocation. The boundary conditions on the cylinders, which admit partial slip, are satisfied exactly. Permeability for various slip and solid fractions, including the touching case, are determined. Partial slip, which arises in diverse physical problems, has substantial...
The slow viscous flow past a rectangular array of parallel circular cylinders is studied. The method of eigenfunction expansions and matching between two domains is used to obtain the flow. Permeabilities in the three principal directions are determined. Approximate formulas are derived.
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