Weakly nonlinear analysis of the viscoelastic instability in channel flow for finite and vanishing Reynolds numbers

Autor: Gergely Buza, Jacob Page, Rich R. Kerswell

Publikováno v: Buza, G, Page, J & Kerswell, R R 2022, ' Weakly nonlinear analysis of the viscoelastic instability in channel flow for finite and vanishing Reynolds numbers ', Journal of Fluid Mechanics, vol. 940, A11 . https://doi.org/10.1017/jfm.2022.222

The recently discovered centre-mode instability of rectilinear viscoelastic shear flow (Garget al.,Phys. Rev. Lett., vol. 121, 2018, 024502) has offered an explanation for the origin of elasto-inertial turbulence that occurs at lower Weissenberg numb

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27a38ad9b0b54b5d8fa7f223a2c40078
https://hdl.handle.net/20.500.11820/398e2802-b7d2-4a8a-b1eb-171ee9bf5e61

Exact travelling wave solutions in viscoelastic channel flow

Autor: Rich Kerswell, Jacob Page, Yves Dubief

Publikováno v: Page, J, Dubief, Y & Kerswell, R 2020, ' Exact travelling wave solutions in viscoelastic channel flow ', Physical Review Letters, vol. 125, no. 15, 154501 . https://doi.org/10.1103/PhysRevLett.125.154501

Elasto-inertial turbulence (EIT) is a new, two-dimensional chaotic flow state observed in polymer solutions with possible connections to inertialess elastic turbulence and drag-reduced Newtonian turbulence. In this Letter, we argue that the origins o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ce1a14854def9fd5fb7bcb39e900123

Searching turbulence for periodic orbits with dynamic mode decomposition

Autor: Jacob Page, Rich R. Kerswell

Publikováno v: Page, J & Kerswell, R R 2020, ' Searching turbulence for periodic orbits with dynamic mode decomposition ', Journal of Fluid Mechanics, vol. 886, A28 . https://doi.org/10.1017/jfm.2019.1074

We present a new method for generating robust guesses for unstable periodic orbits (UPOs) by post-processing turbulent data using dynamic mode decomposition (DMD). The approach relies on the identification of near-neutral, repeated harmonics in the D

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc0016868f98204f1f15b0e006a682a6
http://arxiv.org/abs/1906.01310

Viscoelastic shear flow over a wavy surface

Autor: Tamer A. Zaki, Jacob Page

Publikováno v: Journal of Fluid Mechanics. 801:392-429

A small-amplitude sinusoidal surface undulation on the lower wall of Couette flow induces a vorticity perturbation. Using linear analysis, this vorticity field is examined when the fluid is viscoelastic and contrasted to the Newtonian configuration.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::95fa34e4d7dfbb7a749f14d6e0dfae84
https://doi.org/10.1017/jfm.2016.455

Koopman analysis of Burgers equation

Autor: Rich R. Kerswell, Jacob Page

Publikováno v: Page, J & Kerswell, R R 2019, ' Koopman analysis of Burgers equation ', Physical Review Fluids, vol. 3, no. 7, 071901(R) . https://doi.org/10.1103/PhysRevFluids.3.071901
Page, J & Kerswell, R 2018, ' Koopman analysis of Burgers equation ', Physical Review Fluids, vol. 7, no. 3, 071901(R) . https://doi.org/10.1103/PhysRevFluids.3.071901

The emergence of Dynamic Mode Decomposition (DMD) as a practical way to attempt a Koopman mode decomposition of a nonlinear PDE presents exciting prospects for identifying invariant sets and slowly decaying transient structures buried in the PDE dyna

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f0983705bdad30b453c3e8d3dda7378
https://www.repository.cam.ac.uk/handle/1810/284476