Tollmien-Schlichting route to elastoinertial turbulence in channel flow
| Autor: | Ashwin Shekar, Beverley McKeon, Michael D. Graham, Ryan M. McMullen |
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| Rok vydání: | 2021 |
| Předmět: |
Fluid Flow and Transfer Processes
Physics Turbulence Fluid Dynamics (physics.flu-dyn) Computational Mechanics FOS: Physical sciences Reynolds number Physics - Fluid Dynamics Mechanics 01 natural sciences 010305 fluids & plasmas Vortex Open-channel flow Physics::Fluid Dynamics symbols.namesake Nonlinear system Flow (mathematics) Modeling and Simulation Physics::Space Physics 0103 physical sciences symbols Newtonian fluid Weissenberg number 010306 general physics |
| Zdroj: | Physical Review Fluids. 6 |
| ISSN: | 2469-990X |
| DOI: | 10.1103/physrevfluids.6.093301 |
| Popis: | Direct simulations of two-dimensional channel flow of a viscoelastic fluid have revealed the existence of a family of Tollmien-Schlichting (TS) attractors that is nonlinearly self-sustained by viscoelasticity [Shekar et al., J.Fluid Mech. 893, A3 (2020)]. Here, we describe the evolution of this branch in parameter space and its connections to the Newtonian TS attractor and to elastoinertial turbulence (EIT). At Reynolds number $Re=3000$, there is a solution branch with TS-wave structure but which is not connected to the Newtonian solution branch. At fixed Weissenberg number, $Wi$ and increasing Reynolds number from 3000-10000, this attractor goes from displaying a striation of weak polymer stretch localized at the critical layer to an extended sheet of very large polymer stretch. We show that this transition is directly tied to the strength of the TS critical layer fluctuations and can be attributed to a coil-stretch transition when the local Weissenberg number at the hyperbolic stagnation point of the Kelvin cat's eye structure of the TS wave exceeds $\frac{1}{2}$. At $Re=10000$, unlike $3000$, the Newtonian TS attractor evolves continuously into the EIT state as $Wi$ is increased from zero to about $13$. We describe how the structure of the flow and stress fields changes, highlighting in particular a "sheet-shedding" process by which the individual sheets associated with the critical layer structure break up to form the layered multisheet structure characteristic of EIT. Comment: Accepted to Physical Review Fluids |
| Databáze: | OpenAIRE |
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