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
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）