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Thermocapillary manipulation of microfluidic droplets: Theory and applications (2008)

Abstract
It was recently demonstrated by our group that a focused laser beam could be used to produce a net force on a moving microfluidic drop. The aim of the paper is to establish a scaling law for this net force by a examining the closely related but simpler situation of a very thin stationary circular drop of fixed shape submitted to a thermocapillary (Marangoni) stress. This leads us to recall the depth-averaged model for a microfluidic pancake-like undeformable drop submitted to a thermocapillary forcing. Our numerical method to solve the associated equations is then introduced and validated. In the case of a localized heating and for an ‘inverse' Marangoni effect (i.e. the surface tension increases with temperature) mimicking the experimental situation of a focused laser beam impinging on a surfactant laden water-oil interface, the flow field is computed and compared to experimental observations. The viscous shear stresses (normal and tangential) and the pressure force are then computed on the interface, yielding a simple expression for the total force acting on the droplet. Further numerical investigations are conducted and enable us to propose a scaling law for the net force combining all pertinent parameters.

Publication details
Download HAL:http://hal.archives-ouvertes.fr/hal-00384745/en/, http://hal.archives-ouvertes.fr/docs/00/38/47/45/PDF/gallaire-et-al-International_Journal_of_Heat_and_Technology_26_161_2008_.pdf
Publisher HAL - CCSD
Repository INRIA a CCSD electronic archive server based on P.A.O.L (France)
Keywords [PHYS:PHYS:PHYS_FLU-DYN] Physics/Physics/Fluid Dynamics
Type text
Language English