Aditya Jha (Université de Bordeaux)

Viscocapillary Lubrication and Lift Forces

The force exerted on an object moving in a viscous fluid, and its modification induced by the presence
of a nearby boundary, have been abundantly studied in fluid mechanics for the past century. In the last
decades, soft gels and elastomers have been of growing interest, and have been shown to break the
symmetry of nearby low-Reynolds-number flows, thus generating a force normal to the substrate.
Such a lift force depends in particular on the material properties of the substrate and the intervening
fluid. Here, we revisit this problem, by addressing the novel situation where the soft substrate is
replaced by a fluid interface. We analyze in details the lubrication flow between a moving object and
the interface. Using a combination of analytical and numerical treatments, we derive an expression of
the viscocapillary lift force at leading order in compliance.