Topological flow structures in an L-shaped cavity with horizontal motion of the upper lid

被引：11
作者：
Deliceoglu, A. [1 ]
Aydin, S. Han [2 ]
机构：
[1] Erciyes Univ, Dept Math, Kayseri, Turkey
[2] Karadeniz Tech Univ, Dept Math, Trabzon, Turkey
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 259卷
关键词：
L-shaped cavity; Flow structure; Bifurcations; DEGENERATE CRITICAL-POINTS; STOKES-FLOW; STREAMLINE TOPOLOGIES; VORTEX BREAKDOWN; DRIVEN CAVITY; 2-DIMENSIONAL FLOW; REYNOLDS-NUMBER; STATIONARY WALL; EDDY GENESIS; NORMAL FORMS;
D O I：
10.1016/j.cam.2013.10.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The flow patterns in a steady, viscous L-shaped cavity are investigated using both analytic solutions combined with methods from nonlinear dynamical systems and numerically using the finite element method. A boundary value problem is formulated for the case of Stokes flow, which is solved analytically, psi, expressed as an infinite series of eigenfunctions which depend on h(1) and h(2) which are related to the heights of the L-shaped domain. The (h(1), h(2)) control space diagram is constructed for exhibiting the mechanism by which new eddies are obtained in the cavity. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：937 / 943
页数：7
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