Mach number (M = v/c)
M = 0.29
Subsonic motion
Doppler effect
🟢 Ahead hears:— Hz
🔴 Behind hears:— Hz
Wavelength ahead:—
Wavelength behind:—
Mach number over the last 10 s
🟡 Observer under the trajectory
Awaiting supersonic flight
🔊 Sound level near observers (pseudo dB)
🟢 Ahead:— dB
🔴 Behind:— dB
🟡 Under trajectory:— dB
Mach number of the second object
M = 0.00
What does the simulation show?
The spheres are the sound's
wave fronts. As the source moves, the waves ahead
are
compressed (higher pitch), and behind —
stretched (lower pitch).
This is the
Doppler effect.
When M > 1, the fronts form a
Mach cone — its shock is like a
sonic boom 💥. Near M ≈ 1 around the aircraft, moisture condenses into
a white 'skirt' called the
Prandtl-Glauert singularity.
Flight Modes:
Subsonic (M < 0.95) — source is slower than sound, waves have time to
spread evenly in all directions.
Transonic (M ≈ 1) — the source nearly catches up with its own waves; they
"pile up" ahead — this is the sound barrier.
Supersonic (M > 1) — the source outruns sound; all fronts merge into a
Mach cone behind it; the boom is heard only once the cone physically
reaches the observer.
The Doppler effect in front and behind differs because the source 'catches up' with its previous waves (compressing them — higher pitch) and simultaneously 'runs away' from the following ones (stretching them — lower pitch): this is due to the source's motion relative to a stationary medium, not a property of sound itself.
📜 Historical note: Chuck Yeager first broke
the sound barrier in 1947 on the experimental aircraft Bell X-1.