Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flexible fibers in shear flow approach attracting periodic solutions   The three-dimensional dynamics of a single non-Brownian flexible fiber in
shear flow is evaluated numerically, in the absence of inertia. A wide range of
ratios A of bending to hydrodynamic forces and hundreds of initial
configurations are considered. We demonstrate that flexible fibers in shear
flow exhibit much more complicated evolution patterns than in the case of
extensional flow, where transitions to higher-order modes of characteristic
shapes are observed when A exceeds consecutive threshold values. In shear flow,
we identify the existence of an attracting steady configuration and different
attracting periodic motions that are approached by long-lasting rolling,
tumbling and meandering dynamical modes, respectively. We demonstrate that the
final stages of the first and second modes are effective Jeffery orbits, with
the constant parameter C replaced by an exponential function that either decays
or increases in time, respectively, corresponding to a systematic drift of the
trajectories. In the limit of C going to zero, the fiber aligns with the
vorticity direction and in the limit of C going to infinity, the fiber
periodically tumbles within the shear plane. For moderate values of A, a
three-dimensional meandering periodic motion exists, which corresponds to
intermediate values of C. Transient, close to periodic oscillations are also
detected in the first stages of the modes.

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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int