Straining Effects and Vortex Reconnection of Solutions to the 3-D Navier-Stokes Equation

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  • Takaoka Masanori
    Department of Mechanical Engineering, Faculty of Engineering Science, Osaka University

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  • Straining Effects and Vortex Reconnecti

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Superimposed a time-dependent irrotational straining flow, a class of exact solutions to the 3-D incompressible Navier-Stokes equation is slightly generalized, which represents time-evolution of various configurations of straight jets. In particular, since the vorticity depends on two spatial variables, two-dimensional aspects of the dynamics and strain effects to the vortex structure, such as vortex reconnection, can be investigated with these solutions. The time developments of circulation, energy and enstrophy are also examined and compared with numerical results of turbulence.

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