会议专题

Eddy Structures of Stokes Flow in Rectangular Cavities with Free Side Surfaces under Hamiltonian System

The eddy structures of Stokes flow in rectangular cavities with free side surfaces is studied within the Hamiltonian system. Taking velocities and stresses as the basic variables, the stale space formalism is constructed which is simple in concept and systematic in operation. On the basis, the analysis system is changed from Lagrangian to Hamiltonian form. The problem could be solved via the method of separation of variables and expansion of eigenfunctions. When the driven lids of the square cavity was moving in same directions, the flow structure simply consisted of two eddies and the larger eddy adjacented to the faster moving wall. When the driven lids was moving in opposite directions (including the case that the below lid was moving whilst the above was immobile), the flow structure consisted of a large recirculation and the eddy center adjacented to the faster moving wall. Numerical examples show that the method was effective for Stokes flow problems in a rectangular cavity.

Stokes flow free surface rectangular cavity Hamiltonian system eddy structure

Yan Wang

Department of Engineering Mechanics, Northwestern Polytechnical University Xian, Shaanxi, China

国际会议

2010 International Conference on Information Security and Artificial Intelligence(2010年信息安全与人工智能国际会议 ISAI 2010)

成都

英文

1472-1476

2010-12-17(万方平台首次上网日期,不代表论文的发表时间)