International Journal of Multiphase Flow 75 (2015) 39–53 Contents lists available at ScienceDirect International Journal of Multiphase Flow journal homepage: www.elsevier.com/locate/ijmulﬂow Laterally stratiﬁed ﬂow in a curved microchannel Jason R. Picardo, S. Pushpavanam Department of Chemical Engineering, Indian Institute of Technology Madras, Chennai 600 036, India article i nfo abstract Article history: Laterally stratiﬁed fully developed ﬂow in a curved channel is investigated, in this work. Motivated by Received 18 March 2015 applications in microchannels, we focus on the limit of small Reynolds numbers. The method of domain Received in revised form 18 April 2015 perturbation is used to obtain an analytical solution, by considering the curvature ratio of the channel Accepted 22 April 2015 (ratio of the channel’s width to its radius of curvature) to be a small parameter. Centrifugal forces give Available online 16 May 2015 rise to multiple pairs of Dean vortices in the two ﬂuids. Depending on the properties of the ﬂuids and their holdups (volume fractions), one of the ﬂuids dominates the ﬂow and inﬂuences the ﬂow pattern Keywords: within the other ﬂuid. The multi-dimensional parameter space is divided into ﬁve different regions, each Two-phase characterized by a distinct vortex pattern. Centrifugal forces are
International Journal of Multiphase Flow – Elsevier
Published: Oct 1, 2015
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