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• W2109591597 abstract "Abstract Disturbances in a dilute fibre suspension are studied with an Eulerian approach. Based on a linear stability analysis, it is shown that inertia and hydrodynamic diffusion damp perturbations at long wavelengths and short wavelengths, respectively, leading to a wavenumber selection. For small but finite Reynolds number of the fluid bulk motion, the most unstable wavenumber is a finite value, which increases with Reynolds number. Furthermore, the diffusion narrows the range of unstable wavenumbers. Numerical simulations of the full nonlinear evolution in time of a normal-mode perturbation show that the induced flow may either die out or saturate on a finite amplitude. The character of this long-time behaviour is dictated by the wavenumber and the presence or absence, as well as nature, of the translational and rotational diffusivities." @default.
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• W2109591597 date "2013-02-19" @default.
• W2109591597 modified "2023-10-16" @default.
• W2109591597 title "Nonlinear disturbance growth during sedimentation in dilute fibre suspensions" @default.
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• W2109591597 doi "https://doi.org/10.1017/jfm.2013.4" @default.
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