کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1898243 1044648 2006 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Topological chaos in spatially periodic mixers
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Topological chaos in spatially periodic mixers
چکیده انگلیسی

Topologically chaotic fluid advection is examined in two-dimensional flows with either or both directions spatially periodic. Topological chaos is created by driving flow with moving stirrers whose trajectories are chosen to form various braids. For spatially periodic flows, in addition to the usual stirrer-exchange braiding motions, there are additional topologically nontrivial motions corresponding to stirrers traversing the periodic directions. This leads to a study of the braid group on the cylinder and the torus. Methods for finding topological entropy lower bounds for such flows are examined. These bounds are then compared to numerical stirring simulations of Stokes flow to evaluate their sharpness. The sine flow is also examined from a topological perspective.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 221, Issue 1, 1 September 2006, Pages 92–100
نویسندگان
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