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Vortex dynamics in a pipe T-junction: Recirculation and sensitivity

Author(s): Chen, Kevin K; Rowley, Clarence W; Stone, Howard A

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Abstract: In the last few years, many researchers have noted that regions of recirculating flow often exhibit particularly high sensitivity to spatially localized feedback. We explore the flow through a T-shaped pipe bifurcation—a simple and ubiquitous, but generally poorly understood flow configuration—and provide a complex example of the relation between recirculation and sensitivity. When Re ≥ 320, a phenomenon resembling vortex breakdown occurs in four locations in the junction, with internal stagnation points appearing on vortex axes and causing flow reversal. The structure of the recirculation is similar to the traditional bubble-type breakdown. These recirculation regions are highly sensitive to spatially localized feedback in the linearized Navier–Stokes operator. The flow separation at the corners of the “T,” however, does not exhibit this kind of sensitivity. We focus our analysis on the Reynolds number of 560, near the first Hopf bifurcation of the flow.
Publication Date: Mar-2015
Citation: Chen, Kevin K, Rowley, Clarence W, Stone, Howard A. "Vortex dynamics in a pipe T-junction: Recirculation and sensitivity" Physics of Fluids, (3), 27, 034107-1 - 034107-10, doi:10.1063/1.4916343
DOI: doi:10.1063/1.4916343
ISSN: 1070-6631
EISSN: 1089-7666
Pages: 034107-1 - 034107-10
Type of Material: Journal Article
Journal/Proceeding Title: Physics of Fluids
Version: This is the publisher’s version of the article (version of record). All rights reserved to the publisher. Please refer to the publisher's site for terms of use.

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