کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8256311 1533960 2017 47 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiple equilibria, bifurcations and selection scenarios in cosymmetric problem of thermal convection in porous medium
ترجمه فارسی عنوان
تعادل چندگانه، تقسیم بندی ها و سناریوهای انتخاب در مسئله همسایگی حرارتی در محیط متخلخل
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
We study convection in a two-dimensional container of porous material saturated with fluid and heated from below. This problem belongs to the class of dynamical systems with nontrivial cosymmetry. The cosymmetry gives rise to a hidden parameter in the system and continuous families of infinitely many equilibria, and leads to non-trivial bifurcations. In this article we present our numerical studies that demonstrate nonlinear phenomena resulting from the existence of cosymmetry. We give a comprehensive picture of different bifurcations which occur in cosymmetric dynamical systems and in the convection problem. It includes internal and external (as an invariant set) bifurcations of one-parameter families of equilibria, as well as bifurcations leading to periodic, quasiperiodic and chaotic behaviour. The existence of infinite number of stable steady-state regimes begs the important question as to which of them can realize in physical experiments. In this paper, this question (known as the selection problem) is studied in detail. In particular, we show that the selection scenarios strongly depend on the initial temperature distribution of the fluid. The calculations are carried out by the global cosymmetry-preserving Galerkin method, and numerical methods used to analyse cosymmetric systems are also described.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 361, 15 December 2017, Pages 42-58
نویسندگان
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