| Partner: J.K. Nunes |
Recent publications
| 1. | Słowicka A.M., Xue N.♦, Sznajder P., Nunes J.K.♦, Stone H.A.♦, Ekiel-Jeżewska M.L., Buckling of elastic fibers in a shear flow, NEW JOURNAL OF PHYSICS, ISSN: 1367-2630, DOI: 10.1088/1367-2630/ac43eb, Vol.24, pp.013013-1-16, 2022 Abstract: Three-dimensional dynamics of flexible fibers in shear flow are studied numerically, with a qualitative comparison to experiments. Initially, the fibers are straight, with different orientations with respect to the flow. By changing the rotation speed of a shear rheometer, we change the ratio A of bending to shear forces. We observe fibers in the flow-vorticity plane, which gives insight into the motion out of the shear plane. The numerical simulations of moderately flexible fibers show that they rotate along effective Jeffery orbits, and therefore the fiber orientation rapidly becomes very close to the flow-vorticity plane, on average close to the flow direction, and the fiber remains in an almost straight configuration for a long time. This ``ordering'' of fibers is temporary since they alternately bend and straighten out while tumbling. We observe numerically and experimentally that if the fibers are initially in the compressional region of the shear flow, they can undergo a compressional buckling, with a pronounced deformation of shape along their whole length during a short time, which is in contrast to the typical local bending that originates over a long time from the fiber ends. We identify differences between local and compressional bending and discuss their competition, which depends on the initial orientation of the fiber and the bending stiffness ratio A. There are two main finding. First, the compressional buckling is limited to a certain small range of the initial orientations, excluding those from the flow-vorticity plane. Second, since fibers straighten out in the flow-vorticity plane while tumbling, the compressional buckling is transient - it does not appear for times longer than 1/4 of the Jeffery period. For larger times, bending of fibers is always driven by their ends. Keywords:Stokes flow, flexible fibers, bending, buckling, orientational order Affiliations:
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| 2. | Nunes J.K.♦, Sadlej K., Tama J.I.♦, Stone H.A.♦, Control of the length of microfibers, LAB ON A CHIP, ISSN: 1473-0197, DOI: 10.1039/C2LC40280G, Vol.12, pp.2301-2304, 2012 |  |
Conference abstracts
| 1. | Słowicka A.M., Xue N.♦, Liu L.♦, Nunes J.♦, Sznajder P., Stone H.A.♦, Ekiel-Jeżewska M.L., Dynamics of highly elastic fibers in a shear flow, EUROMECH Colloquium on Nonlinear Dynamics at Zero Reynolds Number, 2024-05-21/05-23, London (GB), pp.1, 2024 | | ||||||||||||||||||
| 2. | Słowicka A.M., Xue N.♦, Liu L.♦, Nunes J.♦, Sznajder P., Stone H.A.♦, Ekiel-Jeżewska M.L., Very flexible fibers in a shear flow, ICTAM 2024, The 26th International Congress of Theoretical and Applied Mechanics, 2024-08-25/08-30, Daegu (KR), pp.1583-1584, 2024 | | ||||||||||||||||||
| 3. | Słowicka A.M., Xue N.♦, Sznajder P., Nunes J.K.♦, Stone H.A.♦, Ekiel-Jeżewska M.L., Short-time dynamics of elastic filaments in a shear flow, EUROMECH Colloquium 622, EUROMECH Colloquium 622, Suspension flows and rheology: inertia, shape and roughness matter, 2023-06-26/06-30, Nice (FR), pp.465184, 2023 Keywords: Stokes equations, Euler-Bernoulli beam, elastica, elastic filament, shear flow, buckling Affiliations:
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| 4. | Słowicka A.M., Xue N.♦, Sznajder P., Nunes J.K.♦, Stone H.A.♦, Ekiel-Jeżewska M.L., Short-time dynamics of elastic fibers in a shear flow, FMC2022, XXV Fluid Mechanics Conference, 2022-09-07/09-09, Rzeszów (PL), pp.172-173, 2022 Keywords: fluid dynamics, Stokes flows, particulate flows, hydrodynamic interactions, bending Affiliations:
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| 5. | Ekiel-Jeżewska M.L., Słowicka A.M., Xue N.♦, Sznajder P., Nunes J.♦, Stone H.A.♦, Buckling and temporal order of flexible fibers in shear flows, Bulletin of the American Physical Society, ISSN: 0003-0503, Vol.66, pp.M27.9, 2021 | |