Localized Turbulent Structures in a Circular Pipe
Transition to turbulence in a pipe flow begins with the appearance of spatially localized structures, such as turbulent puffs. The investigation of a conditionally time-periodic solution of the Navier–Stokes equations, which is qualitatively close to a turbulent puff, is carried out with the aim to...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2015-09-01
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| Series: | Учёные записки Казанского университета. Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://kpfu.ru/portal/docs/F1516923451/157_3_phys_mat_12.pdf |
| _version_ | 1797857394783420416 |
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| author | N.V. Nikitin V.O. Pimanov |
| author_facet | N.V. Nikitin V.O. Pimanov |
| author_sort | N.V. Nikitin |
| collection | DOAJ |
| description | Transition to turbulence in a pipe flow begins with the appearance of spatially localized structures, such as turbulent puffs. The investigation of a conditionally time-periodic solution of the Navier–Stokes equations, which is qualitatively close to a turbulent puff, is carried out with the aim to explain the mechanism of turbulent puffs. Such solutions are given by the separatrix dividing the attraction regions of laminar and turbulent solutions. In particular, it is shown that the mechanism underlying oscillations is not driven by the Kelvin–Helmholtz instability, which was considered as the main mechanism of oscillation generation in the turbulent puff. |
| first_indexed | 2024-04-09T20:56:00Z |
| format | Article |
| id | doaj.art-042922d4f08840a8ac96729c3bd2bc90 |
| institution | Directory Open Access Journal |
| issn | 2541-7746 2500-2198 |
| language | English |
| last_indexed | 2024-04-09T20:56:00Z |
| publishDate | 2015-09-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета. Серия Физико-математические науки |
| spelling | doaj.art-042922d4f08840a8ac96729c3bd2bc902023-03-29T17:11:30ZengKazan Federal UniversityУчёные записки Казанского университета. Серия Физико-математические науки2541-77462500-21982015-09-011573111116Localized Turbulent Structures in a Circular PipeN.V. Nikitin0V.O. Pimanov1Research Institute for Mathematics and Mechanics of Moscow University, Moscow, 119192 RussiaResearch Institute for Mathematics and Mechanics of Moscow University, Moscow, 119192 RussiaTransition to turbulence in a pipe flow begins with the appearance of spatially localized structures, such as turbulent puffs. The investigation of a conditionally time-periodic solution of the Navier–Stokes equations, which is qualitatively close to a turbulent puff, is carried out with the aim to explain the mechanism of turbulent puffs. Such solutions are given by the separatrix dividing the attraction regions of laminar and turbulent solutions. In particular, it is shown that the mechanism underlying oscillations is not driven by the Kelvin–Helmholtz instability, which was considered as the main mechanism of oscillation generation in the turbulent puff.https://kpfu.ru/portal/docs/F1516923451/157_3_phys_mat_12.pdfnavier–stokes equationsdirect numerical simulationlocalized solutionturbulent puffsedge stateboundary layer streaks |
| spellingShingle | N.V. Nikitin V.O. Pimanov Localized Turbulent Structures in a Circular Pipe Учёные записки Казанского университета. Серия Физико-математические науки navier–stokes equations direct numerical simulation localized solution turbulent puffs edge state boundary layer streaks |
| title | Localized Turbulent Structures in a Circular Pipe |
| title_full | Localized Turbulent Structures in a Circular Pipe |
| title_fullStr | Localized Turbulent Structures in a Circular Pipe |
| title_full_unstemmed | Localized Turbulent Structures in a Circular Pipe |
| title_short | Localized Turbulent Structures in a Circular Pipe |
| title_sort | localized turbulent structures in a circular pipe |
| topic | navier–stokes equations direct numerical simulation localized solution turbulent puffs edge state boundary layer streaks |
| url | https://kpfu.ru/portal/docs/F1516923451/157_3_phys_mat_12.pdf |
| work_keys_str_mv | AT nvnikitin localizedturbulentstructuresinacircularpipe AT vopimanov localizedturbulentstructuresinacircularpipe |