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