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We study the Saffman-Taylor instability in a non-Brownian suspension byinjection of air. We find that flow structuration in the Hele-Shaw cell can bedescribed by an effective viscosity depending on the volume fraction. When thisviscosity is used to define the control parameter of the instability, theclassical finger selection for Newtonian fluids is recovered. However, thispicture breaks down when the cell thickness is decreased below approximatively10 grain sizes. The discrete nature of the grains plays also a determinant rolein the the early destabilization of the fingers observed. The grains produce aperturbation at the interface proportional to the grain size and can thus beconsidered as a "controlled noise". The finite amplitude instability mechanismproposed earlier by Bensimon et al. allows to link this perturbation to theactual values of the destabilization threshold.

Saffman-Taylor instability in a non-Brownian suspension: finger selection and destabilization