The Instability of the Vortex Sheet along the Shear Line

The traditional Kelvin-Helmholtz notion of studying the shear instability is not suitable for the case associated with shear line with the strong wind shear in the vortex sheet. Since then. the shear instability becomes the instability of the vortex sheet. If the velocity is induced by the vortex sheet. the inequalities (l - R_r + Ri_d )> 0 and U(v.t)> U(A(t)) become the criterion of the vortex sheet instability. This criterion indicates that 1) the disposition of environment field restrains the disturbance developing along the shear line. 2) There exist multi-scale interactions in the unstable process of the shear line. The calculation of the necessary condition for the instability is also presented in this paper.