1. It describes the evolution of the vortex sheet given initial conditions. 2. Greater details on vortex sheets can be found in the textbook by Saffman ( 1977 ). 3. The combination of the wingtip vortices and the vortex sheets feeding them is called the vortex wake. 4. The discontinuity in the tangential velocity means that the flow has infinite vorticity on a vortex sheet . 5. The vortex sheet solution as given by the Birkoff-Rott equation cannot go beyond the critical time. 6. The formulation of the vortex sheet equation of motion is given in terms of a complex coordinate z = x + iy. 7. It was readily known that such steady flows are not stable, since the vortex sheets develop so-called Kelvin Helmholtz instabilities. 8. After the flow leaves the trailing edge, this difference in velocity takes place across a relatively thin shear layer called a vortex sheet . 9. There have been extensive studies on a vortex sheet , most of them by discrete or point vortex approximation, with or without desingularization. 10. As the vortex sheet is convected downstream from the trailing edge, it rolls up at its outer edges, eventually forming distinct wingtip vortices.
Mobile