Free surface instability in a confined suspension jet |
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| Institution: | 1. Departamento de Física, FCFM, Universidad de Chile, Casilla 487-3, Santiago, Chile;2. IM2, Codelco, Santiago, Chile;3. L.M.D.H., PMMH ESPCI, 10, rue Vauquelin, 75231 Paris Cedex 05, France;1. Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile;2. Facultad de Ingeniería, Universidad de los Andes, Av. San Carlos de Apoquindo 2200, Santiago, Chile;3. Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón II-2do. Piso, 1428 Buenos Aires, Argentina |
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| Abstract: | A suspension confined between two close parallel plates is studied in the Stokesian regime. The use of boundary integral equations and the lubrication approximation allows to compute the hydrodynamic forces acting on the particles. The forces are long ranged and depend on the orientation of the relative position and velocity of particles. This tensorial character predicts an “antidrag” that is observed in experiments. The effect of the computed hydrodynamic forces is studied in the dynamics of a jet of particles falling by a gravitational field, which shows a surface instability similar to the Kelvin–Helmholtz one. A theoretical model, based on hydrodynamic-like equations, is able to predict the instability that is produced by the interaction of the long-range forces and the free surface. |
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