On the capillary coupling between two phases in a droplet train model

A droplet train model proposed by Foulser {\it et al.} ({\it Transport in Porous Media} (1991), 223) is modified with addition of capillary resistance. It is shown that linear transport equations for this model can be represented in the Onsager form, where the generalized thermodynamic forces are pressure gradients of corresponding phases. In particular, the onset of capillary interactions give rise to the nonzero and equal cross term coefficients.