  Capillary imbibition underpins many processes of fundamental and applied
relevance in fluid mechanics. A limitation to the flow is the coupling to the
confining solid, which induces friction forces. Our work proposes a general
theoretical framework for the modeling of the transport of liquids in lubricant
impregnated surfaces. We show that for sufficiently small lubricant viscosity,
dissipation entirely occurs in the lubricant layer, resulting in a linear
growth of the advancing front. As a result, an external force gives rise to an
exponential front growth. This new capacity to control multiphase flows sets
new experimental challenges that can be determinant for micro and nanofluidic
devices.
