Oblique stripe solutions of channel flow

C.S. Paranjape, Y. Duguet, B. Hof, Journal of Fluid Mechanics 897 (2020).

Download
OA 2020_JournalOfFluidMech_Paranjape.pdf 767.87 KB

Journal Article | Epub ahead of print | English

Scopus indexed
Department
Abstract
With decreasing Reynolds number, Re, turbulence in channel flow becomes spatio-temporally intermittent and self-organises into solitary stripes oblique to the mean flow direction. We report here the existence of localised nonlinear travelling wave solutions of the Navier–Stokes equations possessing this obliqueness property. Such solutions are identified numerically using edge tracking coupled with arclength continuation. All solutions emerge in saddle-node bifurcations at values of Re lower than the non-localised solutions. Relative periodic orbit solutions bifurcating from branches of travelling waves have also been computed. A complete parametric study is performed, including their stability, the investigation of their large-scale flow, and the robustness to changes of the numerical domain.
Publishing Year
Date Published
2020-06-09
Journal Title
Journal of Fluid Mechanics
Volume
897
Article Number
A7
ISSN
eISSN
IST-REx-ID

Cite this

Paranjape CS, Duguet Y, Hof B. Oblique stripe solutions of channel flow. Journal of Fluid Mechanics. 2020;897. doi:10.1017/jfm.2020.322
Paranjape, C. S., Duguet, Y., & Hof, B. (2020). Oblique stripe solutions of channel flow. Journal of Fluid Mechanics, 897. https://doi.org/10.1017/jfm.2020.322
Paranjape, Chaitanya S, Yohann Duguet, and Björn Hof. “Oblique Stripe Solutions of Channel Flow.” Journal of Fluid Mechanics 897 (2020). https://doi.org/10.1017/jfm.2020.322.
C. S. Paranjape, Y. Duguet, and B. Hof, “Oblique stripe solutions of channel flow,” Journal of Fluid Mechanics, vol. 897, 2020.
Paranjape CS, Duguet Y, Hof B. 2020. Oblique stripe solutions of channel flow. Journal of Fluid Mechanics. 897.
Paranjape, Chaitanya S., et al. “Oblique Stripe Solutions of Channel Flow.” Journal of Fluid Mechanics, vol. 897, A7, Cambridge University Press, 2020, doi:10.1017/jfm.2020.322.
All files available under the following license(s):
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0):
Main File(s)
Access Level
OA Open Access
Date Uploaded
2020-06-30
MD5 Checksum
3f487bf6d9286787096306eaa18702e8


Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar