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    ARTICLE

    Linear and Nonlinear Stability Analysis in Microfluidic Systems

    Lennon Ó Náraigh1, *, Daniel R. Jansen van Vuuren2

    FDMP-Fluid Dynamics & Materials Processing, Vol.16, No.2, pp. 383-410, 2020, DOI:10.32604/fdmp.2020.09265 - 21 April 2020

    Abstract In this article we use analytical and numerical modeling to describe parallel viscous two-phase flows in microchannels. The focus is on idealized two-dimensional geometries, with a view to validating the various methodologies for future work in three dimensions. In the first instance, we use analytical Orr-Sommerfeld theory to describe the linear instability which governs the formation of small-amplitude waves in such systems. We then compare the results of this analysis with an in-house Computational Fluid Dynamics (CFD) solver called TPLS. Excellent agreement between the theoretical analysis and TPLS is obtained in the regime of small-amplitude More >

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