Linear and nonlinear stability analysis in microfluidic systems

Show simple item record Naraigh, Lennon O. Jansen van Vuuren, D.R. (Daniel) 2021-05-27T14:58:14Z 2021-05-27T14:58:14Z 2020-04
dc.description.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 simulations beyond the point of validity of the Orr-Sommerfeld theory. In this way, we illustrate the generation of nonlinear interfacial waves and reverse entrainment of one fluid phase into the other. We justify our simulations further by comparing the numerical results with corresponding results from a commercial CFD code. This comparison is again extremely favourable—this rigorous validation paves the way for future work using TPLS or commercial codes to perform extremely detailed three-dimensional simulations of flow in microchannels. en_ZA
dc.description.department Graduate School of Technology Management (GSTM) en_ZA
dc.description.librarian hj2021 en_ZA
dc.description.uri en_ZA
dc.identifier.citation Náraigh, L.O. and Jansen van Vuuren, D.R. (2020). Linear and Nonlinear Stability Analysis in Microfluidic Systems. FDMP-Fluid Dynamics and Materials Processing, 16(2), 383–410. en_ZA
dc.identifier.issn 1555-256X (print)
dc.identifier.issn 1555-2578 (online)
dc.identifier.other 10.32604/fdmp.2020.09265
dc.language.iso en en_ZA
dc.publisher Tech Science Press en_ZA
dc.rights This work is licensed under a Creative Commons Attribution 4.0 International License. en_ZA
dc.subject Multiphase flow en_ZA
dc.subject Computational fluid dynamics (CFD) en_ZA
dc.subject Interfacial instability en_ZA
dc.subject TPLS en_ZA
dc.title Linear and nonlinear stability analysis in microfluidic systems en_ZA
dc.type Article en_ZA

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