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When water and oil are injected into a shallow channel, water droplets form in a quasi-

dimensional geometry. In an equilibrium situation the water-oil interface of the drops adopts

a circumferential shape of radius R to minimize the energy. However, when removing the

system from equilibrium by a pressure gradient, the droplets shape changes in response to

the stresses on its edge. To characterize the deformation of the drops, we detect the drop

interface, decompose this curve in different Fourier modes, and study the dynamics of each

of its modes as a function of time. We are interested in studying the evolution of the

deformations of newly formed drops and the deformation of the droplets in the steady state