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- W4287079131 abstract "The recently-discovered centre-mode instability of rectilinear viscoelastic shear flow (Garg et al. Phy. Rev. Lett. 121, 024502, 2018) has offered an explanation for the origin of elasto-inertial turbulence (EIT) which occurs at lower Weissenberg ($Wi$) numbers. In support of this, we show using weakly nonlinear analysis that the subcriticality found in Page et al. (Phys. Rev. Lett. 125, 154501, 2020) is generic across the neutral curve with the instability only becoming supercritical at low Reynolds ($Re$) numbers and high $Wi$. We demonstrate that the instability can be viewed as purely elastic in origin even for $Re=O(10^3)$, rather than `elasto-inertial', as the underlying shear does not energise the instability. It is also found that the introduction of a realistic maximum polymer extension length, $L_{max}$, in the FENE-P model moves the neutral curve closer to the inertialess $Re=0$ limit at a fixed ratio of solvent-to-solution viscosities, $beta$. In the dilute limit ($beta rightarrow 1$) with $L_{max} =O(100)$, the linear instability can brought down to more physically-relevant $Wigtrsim 110$ at $beta=0.98$, compared with the threshold $Wi=O(10^3)$ at $beta=0.994$ reported recently by Khalid et al. (arXiv: 2103.06794) for an Oldroyd-B fluid. Again the instability is subcritical implying that inertialess rectilinear viscoelastic shear flow is nonlinearly unstable - i.e. unstable to finite amplitude disturbances - for even lower $Wi$." @default.
- W4287079131 created "2022-07-25" @default.
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- W4287079131 date "2021-07-13" @default.
- W4287079131 modified "2023-09-27" @default.
- W4287079131 title "Weakly nonlinear analysis of the viscoelastic instability in channel flow for finite and vanishing Reynolds numbers" @default.
- W4287079131 hasPublicationYear "2021" @default.
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