کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9877662 | 1534089 | 2005 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Periodic homogenization for inertial particles
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
We study the problem of homogenization for inertial particles moving in a periodic velocity field, and subject to molecular diffusion. We show that, under appropriate assumptions on the velocity field, the large scale, long time behavior of the inertial particles is governed by an effective diffusion equation for the position variable alone. To achieve this we use a formal multiple scale expansion in the scale parameter. This expansion relies on the hypo-ellipticity of the underlying diffusion. An expression for the diffusivity tensor is found and various of its properties studied. In particular, an expansion in terms of the non-dimensional particle relaxation time Ï (the Stokes number) is shown to co-incide with the known result for passive (non-inertial) tracers in the singular limit Ïâ0. This requires the solution of a singular perturbation problem, achieved by means of a formal multiple scales expansion in Ï Incompressible and potential fields are studied, as well as fields which are neither, and theoretical findings are supported by numerical simulations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 204, Issues 3â4, 15 May 2005, Pages 161-187
Journal: Physica D: Nonlinear Phenomena - Volume 204, Issues 3â4, 15 May 2005, Pages 161-187
نویسندگان
G.A. Pavliotis, A.M. Stuart,