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Understanding and modulating the cross-stream motion of a surfactant-coateddroplet in pressure driven flow has great implications in many practicalapplications. A combination of interfacial viscosity and Marangoni stressacting over a surfactant-coated droplet in pressure driven flow offers greaterflexibility to modulate the cross-stream motion of it. Despite the intensetheoretical and numerical research towards manipulating the surfactant-ladenNewtonian droplets in Poiseuille flow, the experimental investigations areseldom explored. Herein, we report our study on understanding the influence ofinterfacial viscosity on the cross-stream motion of a surfactant-coatedNewtonian droplet in both isothermal and non-isothermal Poiseuille flow from atheoretical as well as an experimental perspective. A theoretical model hasbeen developed to understand the effect of interfacial viscosity on the lateralmigration of a droplet under the assumptions of no shape deformation andnegligible fluid inertia or thermal convection. Theoretical analysis isperformed under two limiting conditions: (i) when the transport of surfactantsis dominated by surface-diffusion and (ii) when the transportation ofsurfactants is dominated by surface-convection. Our theoretical analysis showsthat both the dilatational as well as the shear surface viscosities suppressthe lateral migration velocity of the droplet. Experiments have been performedto validate the theoretically predicted droplet trajectories and to understandthe influence of channel confinement on the lateral migration of the droplet.It has been observed from the experiments that the droplet travels fastertowards the centerline of the flow in a highly confined domain. The resultspresented in this study could provide new vistas in designing and analyzingvarious droplet-based microfluidic, biomedical and bio-microfluidic devices.

Interfacial viscosity-induced suppression of lateral migration of a surfactant-laden droplet in a non-isothermal Poiseuille flow