Reflection of an acoustic wave from the interior surface of a hollow cone
Abstract
The paper analyzes the problem of the reflection of an acoustic wave that is originally moving towards the vertex of a hollow cone and is reflected at the walls. The problem is formulated in a selfsimilar manner, with pressure and all velocity components required to satisfy the wave equation. It is shown that the equation of motion of the gas behind the reflected motion in selfsimilar coordinates is of hyperbolic type. Solution of this equation shows that the pressure increases along the reflected wave.
 Publication:

Moskovskii Universitet Vestnik Seriia Matematika Mekhanika
 Pub Date:
 1975
 Bibcode:
 1975MVSMM..30R.103S
 Keywords:

 Acoustic Propagation;
 Conical Shells;
 Reflected Waves;
 Sound Waves;
 Hyperbolic Differential Equations;
 Internal Pressure;
 Wave Equations;
 Acoustics