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Turbulent rectangular ducts with minimum secondary flow
IIT, Dept MMAE, Chicago, IL 60616 USA..
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0001-6570-5499
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Mechanics, Fluid Mechanics of Industrial Processes.ORCID iD: 0000-0001-9627-5903
IIT, Dept MMAE, Chicago, IL 60616 USA..
2018 (English)In: International Journal of Heat and Fluid Flow, ISSN 0142-727X, E-ISSN 1879-2278, Vol. 72, p. 317-328Article in journal (Refereed) Published
Abstract [en]

In the present study we perform direct numerical simulations (DNSs) of fully-developed turbulent rectangular ducts with semi-cylindrical side-walls at Re-t,Re- c similar or equal to 180 with width-to-height ratios of 3 and 5. The friction Reynolds number Re-tau,Re- (c) is based on the centerplane friction velocity and the half-height of the duct. The results are compared with the corresponding duct cases with straight side-walls (Vinuesa et al., 2014), and also with spanwise-periodic channel and pipe flows. We focus on the influence of the semi-cylindrical side-walls on the mean cross-stream secondary flow and on further characterizing the mechanisms that produce it. The role of the secondary and primary Reynolds-shear stresses in the production of the secondary flow is analyzed by means of quadrant analysis and conditional averaging. Unexpectedly, the ducts with semi-cylindrical side-walls exhibit higher cross-flow rates and their secondary vortices relocate near the transition point between the straight and curved walls. This behavior is associated to the statistically preferential arrangement of sweeping events entering through the curved wall and ejections arising from the adjacent straight wall. Therefore, the configuration with minimum secondary flow corresponds to the duct with straight side-walls and sharp corners. Consequences on experimental facilities and comparisons between experiments and various numerical and theoretical models are discussed revealing the uniqueness of pipe flow.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE INC , 2018. Vol. 72, p. 317-328
Keywords [en]
Wall-bounded turbulence, Turbulent duct flow, Side-wall geometry, Secondary flow, Direct numerical simulation
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-234199DOI: 10.1016/j.ijheatfluidflow.2018.06.014ISI: 000441488400025Scopus ID: 2-s2.0-85049313018OAI: oai:DiVA.org:kth-234199DiVA, id: diva2:1246481
Note

QC 20180907

Available from: 2018-09-07 Created: 2018-09-07 Last updated: 2018-09-07Bibliographically approved

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Vinuesa, RicardoSchlatter, Philipp

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MechanicsLinné Flow Center, FLOWSeRC - Swedish e-Science Research CentreFluid Mechanics of Industrial Processes
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