Diffusiophoretic propulsion of an isotropic active colloidal particle near a finite-sized disk embedded in a planar fluid–fluid interface

Breaking spatial symmetry is an essential requirement for phoretic active particles to swim at low Reynolds number. This fundamental prerequisite swimming the micro scale fulfilled either by chemical patterning of surface or alternatively exploiting geometrical asymmetries induce gradients and achieve self-propulsion. In present paper, a far-field analytical model employed quantify leading-order contribution induced velocity chemically homogeneous isotropic colloid near finite-sized disk circular shape resting on interface separating two immiscible viscous incompressible Newtonian fluids. To this aim, solution problem formulated as mixed-boundary-value that subsequently transformed into system dual integral equations inner outer domains. Depending ratio different involved viscosities solute solubilities, sign mobility activity, well particle–interface distance radius disk, particle found be repelled from interface, attracted it, reach stable hovering state remain immobile interface. Our results may prove useful in controlling guiding motion self-propelled aqueous interfaces.