Why Does a Projectile Create a Trailing Mach Cone?

  • Thread starter dEdt
  • Start date
  • Tags
    Cone Mach
In summary, the leading edge of a projectile creates a Mach cone due to a shock wave that quickly decays to a sonic wave. Similarly, the trailing edge also creates its own Mach cone due to a sub-sonic wake disturbance. This is because the displaced air returning behind the supersonic object meets the air coming in from the other side, resulting in energy reflection at the axis of symmetry. The reflected energy then radiates outwards at the speed of sound, forming the trailing edge Mach cone. This can be minimized by optimizing the trailing edge profile to reduce drag.
  • #1
dEdt
288
2
I understand why the leading edge of a projectile creates a Mach cone in front of which the air is undisturbed. But apparently the trailing edge of the projectile also creates its own Mach cone behind which the air is undisturbed. I don't understand why this is the case.
 
Physics news on Phys.org
  • #2
The air inside the trailing edge mach cone is not undisturbed, it is the sub-sonic wake disturbance.

As displaced air returns to close behind the supersonic object it meets the air coming in from the other side so it's energy is reflected at the axis of symmetry. The point of energy reflection is traveling at the speed of the object. The reflected energy radiates outwards at the speed of sound forming the trailing edge mach cone. The apex of the trailing edge cone can be generated some distance behind the trailing edge if the object's trailing edge profile has not been optimised to reduce drag.

The leading edge mach cone is generated initially as a shock wave that quickly decays to a sonic wave as it's area increases, so it gets a flying start over the trailing edge mach cone that is initiated by air returning to the axis at only the speed of sound.
 

1. Why does a projectile create a trailing Mach cone?

A projectile creates a trailing Mach cone due to the phenomenon of supersonic flight. As the projectile moves through the air at a speed faster than the speed of sound, it creates a pressure wave that radiates outwards in all directions. As this wave moves away from the projectile, it forms a cone shape with the projectile at its tip. This cone is known as the Mach cone.

2. How does the shape and size of the projectile affect the Mach cone?

The shape and size of the projectile can affect the shape and size of the Mach cone. A larger and more streamlined projectile will create a narrower and longer Mach cone, while a smaller and less aerodynamic projectile will create a wider and shorter Mach cone. This is because the shape and size of the projectile determine how quickly it can move through the air and how much pressure wave it creates.

3. What factors can cause the Mach cone to change shape or disappear?

The shape and existence of the Mach cone can be affected by various factors such as changes in the speed of the projectile, changes in the density or temperature of the air, and the presence of obstructions or other objects in the path of the projectile. For example, if the projectile slows down to subsonic speeds, the Mach cone will disappear. Similarly, if the air is too thin or too hot, the formation of the Mach cone may be disrupted.

4. Can a projectile create multiple Mach cones?

Yes, a projectile can create multiple Mach cones depending on its speed and the surrounding conditions. As the projectile increases in speed, it can create multiple Mach cones as the pressure waves overlap and create a complex pattern. Additionally, if the projectile changes direction or encounters an obstruction, it can create new Mach cones.

5. How does the Mach cone affect the sound produced by a projectile?

The Mach cone has a significant impact on the sound produced by a projectile. As the projectile moves through the air, it creates a shock wave that produces a loud boom known as a sonic boom. This boom is caused by the overlapping of pressure waves in the Mach cone. The shape and size of the Mach cone can also affect the intensity and direction of the sound produced by the projectile.

Similar threads

  • Classical Physics
Replies
10
Views
1K
Replies
23
Views
979
  • Classical Physics
Replies
21
Views
929
Replies
9
Views
836
  • Astronomy and Astrophysics
Replies
1
Views
1K
  • Mechanical Engineering
Replies
6
Views
2K
  • Aerospace Engineering
Replies
2
Views
2K
Replies
1
Views
1K
  • Classical Physics
Replies
16
Views
1K
Back
Top