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Linear stability of particle-laden thin films

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Abstract

Recent experiments [Zhou, Dupuy, Bertozzi, and Hosoi, Phys. Rev. Lett., 94 (2005)] of particle-laden film flow on an incline demonstrate new behavior distinct from the well-known clear fluid case, including the formation of a particle-rich ridge which can stabilize the advancing contact line with respect to “fingering" perturbations. We consider a model similar to that of Zhou et al. with the additional regularizing effect of shear-induced diffusion. A linear stability analysis demonstrates that particle settling moderately reduces the growth rate of unstable modes, while increasing the most unstable wavelength.

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Authors and Affiliations

  1. Mathematics Department, University of California Los Angeles, Los Angeles, California, USA

    B. Cook, O. Alexandrov & A. Bertozzi

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  1. B. Cook
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  2. O. Alexandrov
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  3. A. Bertozzi
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Cook, B., Alexandrov, O. & Bertozzi, A. Linear stability of particle-laden thin films. Eur. Phys. J. Spec. Top. 166, 77–81 (2009). https://doi.org/10.1140/epjst/e2009-00882-2

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