In this paper,the local potential of nondivergent flow on beta plane is derived from the motion equa- tion.The conservation principle for vorticity is obtained when the local potential tends to be minimum with the var...In this paper,the local potential of nondivergent flow on beta plane is derived from the motion equa- tion.The conservation principle for vorticity is obtained when the local potential tends to be minimum with the variational technique.Some other properties st,ch as Lagrangian of vorticity equation,energy etc.are also discussed briefly in the paper.展开更多
According to the theory of the transport and vorticity dynamics,the paper establishes the theory of vorticity flux and the conservation theorem between the vorticity flux and vortex strength in a plane flow.The theory...According to the theory of the transport and vorticity dynamics,the paper establishes the theory of vorticity flux and the conservation theorem between the vorticity flux and vortex strength in a plane flow.The theory of vorticity flux is a basic one in research on turbulence.展开更多
文摘In this paper,the local potential of nondivergent flow on beta plane is derived from the motion equa- tion.The conservation principle for vorticity is obtained when the local potential tends to be minimum with the variational technique.Some other properties st,ch as Lagrangian of vorticity equation,energy etc.are also discussed briefly in the paper.
文摘According to the theory of the transport and vorticity dynamics,the paper establishes the theory of vorticity flux and the conservation theorem between the vorticity flux and vortex strength in a plane flow.The theory of vorticity flux is a basic one in research on turbulence.
