Shock Wave

The characteristic cone-shaped wave front that is produced whenever an object travels faster than the speed of the waves in the surrounding medium.

Mach wedge
The wave front semi-angle for a wake generated by supersonic motion of a body in a non-dispersive medium.

Kelvin wedge
For waves in the wake of a boat (gravity waves). In this case the wedge semi-angle is independent of the speed of the body.

Spherical adiabatic shock

Rankine-Hugoniot shock relations
These are solutions for a steady, normal shock in the frame moving with the shock front.

where
νb = Speed of body
νp = Wave speed
θw = Wedge semi-angle
λK = Characteristic wavelength
g = Standard acceleration due to gravity
r = Shock radius
E = Energy release
t = Time
T = Temperature
M = Mach number
p = Pressure
ν = Velocity
ρ = Density
ρ0 = Density of undisturbed medium
γ = Ratio of specific heats
Note: Subscripts 1 and 2 denote upstream and downstream values respectively.

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