Symplectic analytical solution for Stokes flow in an annular cavity
This paper addresses a Hamiltonian symplectic analytical method to determine stokes ow in an annular geometry. The dual equations for stokes ow are presented. In the symplectic space the problem can be solved via the method of separation of variables and eigenvector expansion. Using the lateral and two ends boundary conditions to determine the eigenvalue and the coefficients, the analytical solutions can be derived. The results of the examples show that the symplectic method is effective, and our method is applicable to other stokes ow problems in a two-dimensional polar region.
Hamiltonian system symplectic Stokes flow annular cavity
Y.Wang Z.C.Deng
Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an, 710072, China Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an, 710072, China;Sta
国际会议
The Fifth International Conference on Fluid Mechanics(第五届国际流体力学会议)
上海
英文
2007-08-15（万方平台首次上网日期，不代表论文的发表时间）