Numerical simulation and global linear stability analysis of low-Re flow past a heated circular cylinder

Handle URI:
http://hdl.handle.net/10754/621643
Title:
Numerical simulation and global linear stability analysis of low-Re flow past a heated circular cylinder
Authors:
Zhang, Wei ( 0000-0001-6323-1234 ) ; Samtaney, Ravi ( 0000-0002-4702-6473 )
Abstract:
We perform two-dimensional unsteady Navier-Stokes simulation and global linear stability analysis of flow past a heated circular cylinder to investigate the effect of aided buoyancy on the stabilization of the flow. The Reynolds number of the incoming flow is fixed at 100, and the Richardson number characterizing the buoyancy is varied from 0.00 (buoyancy-free case) to 0.10 at which the flow is still unsteady. We investigate the effect of aided buoyancy in stabilizing the wake flow, identify the temporal and spatial characteristics of the growth of the perturbation, and quantify the contributions from various terms comprising the perturbed kinetic energy budget. Numerical results reveal that the increasing Ri decreases the fluctuation magnitude of the characteristic quantities monotonically, and the momentum deficit in the wake flow decays rapidly so that the flow velocity recovers to that of the free-stream; the strain on the wake flow is reduced in the region where the perturbation is the most greatly amplified. Global stability analysis shows that the temporal growth rate of the perturbation decreases monotonically with Ri, reflecting the stabilization of the flow due to aided buoyancy. The perturbation grows most significantly in the free shear layer separated from the cylinder. As Ri increases, the location of maximum perturbation growth moves closer to the cylinder and the perturbation decays more rapidly in the far wake. The introduction of the aided buoyancy alters the base flow, and destabilizes the near wake shear layer mainly through the strain-induced transfer term and the pressure term of the perturbed kinetic energy, whereas the flow is stabilized in the far wake as the strain is alleviated. © 2016 Elsevier Ltd. All rights reserved.
KAUST Department:
Mechanical Engineering Program; Physical Sciences and Engineering (PSE) Division
Citation:
Zhang W, Samtaney R (2016) Numerical simulation and global linear stability analysis of low-Re flow past a heated circular cylinder. International Journal of Heat and Mass Transfer 98: 584–595. Available: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2016.03.058.
Publisher:
Elsevier BV
Journal:
International Journal of Heat and Mass Transfer
Issue Date:
31-Mar-2016
DOI:
10.1016/j.ijheatmasstransfer.2016.03.058
Type:
Article
ISSN:
0017-9310
Sponsors:
The work was supported by the KAUST Office of Competitive Research Funds under Award No. URF/1/1394-01. The IBM Blue Gene/P Shaheen at KAUST was utilized for the simulations.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorZhang, Weien
dc.contributor.authorSamtaney, Ravien
dc.date.accessioned2016-11-03T13:21:42Z-
dc.date.available2016-11-03T13:21:42Z-
dc.date.issued2016-03-31en
dc.identifier.citationZhang W, Samtaney R (2016) Numerical simulation and global linear stability analysis of low-Re flow past a heated circular cylinder. International Journal of Heat and Mass Transfer 98: 584–595. Available: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2016.03.058.en
dc.identifier.issn0017-9310en
dc.identifier.doi10.1016/j.ijheatmasstransfer.2016.03.058en
dc.identifier.urihttp://hdl.handle.net/10754/621643-
dc.description.abstractWe perform two-dimensional unsteady Navier-Stokes simulation and global linear stability analysis of flow past a heated circular cylinder to investigate the effect of aided buoyancy on the stabilization of the flow. The Reynolds number of the incoming flow is fixed at 100, and the Richardson number characterizing the buoyancy is varied from 0.00 (buoyancy-free case) to 0.10 at which the flow is still unsteady. We investigate the effect of aided buoyancy in stabilizing the wake flow, identify the temporal and spatial characteristics of the growth of the perturbation, and quantify the contributions from various terms comprising the perturbed kinetic energy budget. Numerical results reveal that the increasing Ri decreases the fluctuation magnitude of the characteristic quantities monotonically, and the momentum deficit in the wake flow decays rapidly so that the flow velocity recovers to that of the free-stream; the strain on the wake flow is reduced in the region where the perturbation is the most greatly amplified. Global stability analysis shows that the temporal growth rate of the perturbation decreases monotonically with Ri, reflecting the stabilization of the flow due to aided buoyancy. The perturbation grows most significantly in the free shear layer separated from the cylinder. As Ri increases, the location of maximum perturbation growth moves closer to the cylinder and the perturbation decays more rapidly in the far wake. The introduction of the aided buoyancy alters the base flow, and destabilizes the near wake shear layer mainly through the strain-induced transfer term and the pressure term of the perturbed kinetic energy, whereas the flow is stabilized in the far wake as the strain is alleviated. © 2016 Elsevier Ltd. All rights reserved.en
dc.description.sponsorshipThe work was supported by the KAUST Office of Competitive Research Funds under Award No. URF/1/1394-01. The IBM Blue Gene/P Shaheen at KAUST was utilized for the simulations.en
dc.publisherElsevier BVen
dc.subjectBuoyancyen
dc.subjectCircular cylinderen
dc.subjectGlobal stability analysisen
dc.subjectHeat transferen
dc.subjectStabilizationen
dc.titleNumerical simulation and global linear stability analysis of low-Re flow past a heated circular cylinderen
dc.typeArticleen
dc.contributor.departmentMechanical Engineering Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalInternational Journal of Heat and Mass Transferen
kaust.authorZhang, Weien
kaust.authorSamtaney, Ravien
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