Vorticity amplification in wavy viscoelastic channel flow

نویسندگان

چکیده

Surface distortions to an otherwise planar channel flow introduce vorticity perturbations. In Newtonian fluids, the induced by small surface undulations on lower wall is advected background and diffuses into fluid. When fluid viscoelastic, we identify new mechanisms which significant perturbations can be generated in both inertialess elasto-inertial flows. We focus case where lengthscale of distortion much longer than depth, find departure from plane shear (Page & Zaki, J. Fluid Mech. , vol. 901, 2016, pp. 392–429) due non-monotonic base-flow streamwise-normal elastic stress. flows, a purely response results streamlines deforming match bottom topography half channel. However, vanishing stress at centreline introduces blocking effect, associated $O(1)$ jump normal velocity balanced large-amplitude streamwise-oscillating ‘jet’ boundary layer, resulting localised, chevron-shaped perturbation field. resonance between frequency ‘Alfvén’ waves apparent observer moving with amplification pair critical layers either side The equal magnitude, leading order Weissenberg number, as such field penetrates full depth even when inertia dominant. demonstrate that long-wave distortions, are relatively innocuous drive viscoelastic fluids for wide range parameter values.

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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2022

ISSN: ['0022-1120', '1469-7645']

DOI: https://doi.org/10.1017/jfm.2022.757