What is the maximum wedge angle at which an oblique shock can occur?

Hence, the wedge can be no larger than a half-angle of 34.1°. This is the maximum pressure. Any higher pressure would correspond to a wedge half-angle > θmax, the shock would be detached.

How does Mach number of the incoming flow affect the shock pattern?

The angle formed by the oblique shock with the flow direction is dependent on the Mach number and the angle of deflection of the cone. With increasing Mach number, the conical shock wave becomes acute.

What airfoil did the Concorde use?

The Concorde has a delta wing, and lift was produced at low speeds by having a very high AOA. This produced massive vortex structures from the leading edge over the top surface of the wing.

When the flow is supersonic the oblique shock occurs?

An oblique shock wave is a shock wave that, unlike a normal shock, is inclined with respect to the incident upstream flow direction. It will occur when a supersonic flow encounters a corner that effectively turns the flow into itself and compresses. The upstream streamlines are uniformly deflected after the shock wave.

At what Mach number the shock wave occurs?

Mach 0.5 is half the speed of sound, Mach 2 is twice the speed of sound, and so on. Speeds less than the speed of sound have a Mach number between zero and one and are described as subsonic . Those greater than the speed of sound have Mach numbers greater than one are a described as supersonic ….Discussion.

Ma = v
c

What is the difference between oblique shock wave and Mach wave?

The Mach number and speed of the flow also decrease across a shock wave. If the shock wave is perpendicular to the flow direction, it is called a normal shock. There are equations which describe the change in the flow variables. When a shock wave is inclined to the flow direction it is called an oblique shock.

What’s the difference between a wedge and a supersonic flow?

In short, the main differences between the supersonic flow over a cone and wedge, both with the same body angle, are that (1) the shock wave on the cone is weaker, (2) the cone surface pressure is less, and (3) the streamlines above the cone surface are curved rather than straight.

How is a shock wave generated by a supersonic flow?

On this page, we consider the supersonic flow of air past a two-dimensional wedge. If the Mach number is high enough and the wedge angle is small enough, an oblique shock wave is generated by the wedge, with the origin of the shock attached to the sharp leading edge of the wedge.

How is the flow over a cone different from a wedge?

That is, in comparing the wedge and cone in Figure 9.14, both with the same 20° angle, the flow over the cone has an extra dimension in which to move, and hence it more easily adjusts to the presence of the conical body in comparison to the two-dimensional wedge.

How does a cone of angle generate a shock?

A cone of angle theta surface generates a shock of angle s. In general, theta surface will not be equal to the desired cone angle c. Modify the assumed shock angle and repeat the solution of the differential equation to obtain a new pair of shock angle s and theta surface.