The flux-tube solution in the dual Ginzburg-Landau (DGL) theory in the Bogomol’nyi limit is studied by using the manifestly Weyl invariant form of the DGL Lagrangian. The dual gauge symmetry is extended to [U(1)]m, and accordingly, there appear three different types of the flux-tube. The string tension for each flux-tube is calculated analytically and is found to be the same owing to the Weyl s...

We examine the behavior of the vortex defects on the world-sheet when a solitonic d5 brane is existing in the d-dimensional target space, and it is seen that the vortices of any charge should be dissociated to the free-gas phase when they approach to the brane. The meanings of this fact are addressed through the analysis of the renormalization group equations on the world sheet. e-mail: gouroku...

The small-scale structure of the ow produced by vortex methods is discussed, and contrasted with the small-scale structure produced by grid methods. Particular attention is paid to the proliferation of vortex hairpins in three dimensions; its origin is analyzed, a statistical description is given, and methods for harmlessly deleting unneeded hairpins are suggested. These methods involve renorma...

In this paper we prove two results regarding the large-time behavior of vortex dynamics in the full plane. In the first result we show that the total integral of vorticity is confined in a region of diameter growing at most like the square-root of time. In the second result we show that if a dynamic rescaling of the absolute value of vorticity with spatial scale growing linearly with time conve...

The flow control on the separation bubble and the large scale vortex is important in the turbo machine. Recently, a new approach using the plasma actuators is proposed to control the separation bubble and the large scale vortex. The aim of this study is to control the large scale vortex behind a flat plate using the plasma actuators. The effect of the three dimensional jet induced by the plasma...

The stability of supercritical Couette flow has been studied extensively, but few measurements of the velocity field of flow have been made. Particle image velocimetry (PIV) was used to measure the axial and radial velocities in a meridional plane for non-wavy and wavy Taylor–Couette flow in the annulus between a rotating inner cylinder and a fixed outer cylinder with fixed end conditions. The ...