vortex sheet

At high Reynolds numbers, vortex sheets tend to be unstable.

It describes the evolution of the vortex sheet given initial conditions.

The vortex sheet solution is expected to lose analyticity at the critical time.

These may be superposed in many ways to create the formation of line sources, vortex sheets and so on.

Greater details on vortex sheets can be found in the textbook by Saffman (1977).

The initial condition for a flat vortex sheet with constant strength is .

The flat vortex sheet is an equilibrium solution.

The vortex sheet solution as given by the Birkoff-Rott equation cannot go beyond the critical time.

After the flow leaves the trailing edge, this difference in velocity takes place across a relatively thin shear layer called a vortex sheet.

The discontinuity in the tangential velocity means that the flow has infinite vorticity on a vortex sheet.

Incompressible flows around thin airfoils, Biot-Savart law, vortex sheets.

A plasma actuator induces a local flow speed perturbation, which will be developed downstream to a vortex sheet.

The combination of the wingtip vortices and the vortex sheets feeding them is called the vortex wake.

Helmholtz flow is a term used in fluid mechanics for flow with free streamlines or vortex sheets.

The formulation of the vortex sheet equation of motion is given in terms of a complex coordinate .

A flat vortex sheet with periodic boundaries in the streamwise direction can be used to model a temporal free shear layer at high Reynolds number.

It was readily known that such steady flows are not stable, since the vortex sheets develop so-called Kelvin-Helmholtz instabilities.

Landau thought that vorticity entered superfluid helium-4 by vortex sheets, but such sheets have since been shown to be unstable.

There have been extensive studies on a vortex sheet, most of them by discrete or point vortex approximation, with or without desingularization.

As the vortex sheet is convected downstream from the trailing edge, it rolls up at its outer edges, eventually forming distinct wingtip vortices.

The condition for the occurrence of the traveling wave instability is derived and the absence of this mode in compressible vortex sheets is explained.

Alternatively, calculated from the flowfield perspective (far-field approach), the drag force comes from three natural phenomena: shock waves, vortex sheet, and viscosity.

While the tangential components of the flow velocity are discontinuous across the vortex sheet, the normal component of the flow velocity is continuous.

For incompressible, inviscid flow, the wing is modelled as a single bound vortex line located at the 1/4 chord position and an associated shed vortex sheet.

Using a point vortex approximation and delta-regularization Krasny (1986) obtained a smooth roll-up of a vortex sheet into a double branched spiral.