Disturbance of plane viscous flow and Hamiltonian system

The traditional solution methods of fluid dynamic mechanics, which were described based on one kind of variable, belong to the Euclidian space under the Lagrange system formulation. It's difficult to deal with some complex domain. In this paper, the new dual variables and Hamiltonian function are introduced first. It is thus that the problem is promoted to symplectic geometrical under the conservative Hamiltonian system. Furthermore, the solution based on the expansion of enginvectors of Hamiltonian operator matrix is derived. The disturbance of plane viscous flow is solved directly. Then, the general characteristic relation of flow field is deduced. By virtue of solving the proper value and superposing the proper vector, the solution of wave disturbance in plane viscous flow with low Reynolds number is obtained. Finally, the edge efficiency of flow field may be analysis. A new solution procedure for the research of the fluid mechanics is put forward.