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DY: Fachverband Dynamik und Statistische Physik

DY 40: Posters II

DY 40.11: Poster

Thursday, March 17, 2011, 17:00–19:00, P3

The behavior of deformable droplet in the Hele-Shaw cell — •Erfan Kadivar and Martin Brinkmann — Max Planck Institute for Dynamics and Self-Organization, Bunsenstr. 10, D-37073 Göttingen, Germany

Motivated by recent experiments in microchannels, we studied the behavior of liquid droplets flowing in a Hele-Shaw cell by numerical simulation. The continuity equation and Darcy's law in combination with the discontinuity of the pressure at the curved interface of the droplet are used to obtain an integral representation of the pressure inside and outside of the droplet. The boundary element method is used to numerically determine the velocity field in both liquid phases as function of mobility and pressure gradient at periodic boundaries and to evolve the shape and position of the droplet in the microchannel.

According to recent experimental works, we used two different geometries; The first one is a rectangular microfluidic channel with thin width and specific length which has been expended abruptly. The second one is the microfluidic channel with the sinusoidal boundaries. We focused on the case that the droplet size is comparable to minimum width of channel. Therefore, we studied the droplet deformation when is flowing in the microchannel.