Fluid Flow
Fluid Flow Index

Information on sound wave propagation

1. Definition

The non dimensional parameter "M" is called the Mach number, which is defined by:
M = U / a

where "U" is the speed of the source of sound such as an aircraft, and "a" is the speed of sound


2. Air pressure waves


M = 0

Stationary:
Mach Number = 0

When the source of sound is stationary (its speed is zero), waves of air pressure spread uniformly, and they form a circle (2-dimensional case) or a sphere (3- dimensional).


M = 0.4


M = 0.7

Subsonic speed: Mach Number < 0.3

When the source of sound moves (or the aircraft flies) at a speed slower than the speed of sound, air pressure waves move ahead of the aircraft because the waves travel at the speed of sound, faster than the source.


M = 1

Transonic speed: Mach Number ~ 0.3-1

As the aircraft speed approaches the speed of sound, the pressure waves are "piled up" ahead of the aircraft. These dense air pressure waves form a shock wave, shown as a red line. 


M = 1.4


M = 2.0

Supersonic speed; Mach Number > 1

As the aircraft moves faster then the speed of sound, it breaks through the shock wave. The shock wave angles back behind the aircraft, reaching the ground as a sonic boom. (You may be caught off-guard because you do not hear any noise until the aircraft has passed overhead, often at high altitude.)


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