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
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 waves. We continue the numerical… More >
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