Creeping flow through cubic arrays of spherical bubbles

We consider creeping flow through a cubic array of identical spherical bubbles and compute the drag force exerted on a representative bubble in the array using a method originally employed by Hasimoto (1959) and recently modified by Sangani & Acrivos (1982). In addition to deriving analytic expressions for the drag to $\text{0(c}{}^2\text{)}$, we present numerical results for the complete range of bubble volume fractions $\text{c}$ for the three cubic arrays.