puzzled at everything. may someone start from scratchharuspex said:Are you puzzled at the way the left and right tails become horizontal?
well most of it requires intuition, no?nasu said:If most of the video is puzzling, maybe is not the right point for you to start?
Shock waves are a type of propagating disturbance that moves faster than the local speed of sound in the medium. They are characterized by an abrupt, nearly discontinuous change in the properties of the medium, such as pressure, temperature, and density.
Shock waves are often modeled using the equations of fluid dynamics, specifically the Euler equations for inviscid flow. These equations are a set of hyperbolic partial differential equations that describe the conservation of mass, momentum, and energy in a fluid. Solutions to these equations can exhibit discontinuities, which are interpreted as shock waves.
The Rankine-Hugoniot condition provides the relationship between the states on either side of a shock wave. It is derived from the conservation laws and describes the jump conditions for the mass, momentum, and energy flux across the shock. These conditions are essential for determining the properties of the shock wave.
The Mach number is a dimensionless quantity representing the ratio of the speed of an object or flow to the speed of sound in the surrounding medium. In shock wave analysis, the Mach number determines the strength and characteristics of the shock wave. A Mach number greater than 1 indicates supersonic flow, which is necessary for the formation of shock waves.
While both shock waves and sound waves are types of pressure waves, they differ significantly in their properties and behavior. Sound waves are small-amplitude disturbances that propagate linearly and do not involve significant changes in the medium's properties. In contrast, shock waves are nonlinear phenomena involving large changes in pressure, temperature, and density, and they propagate at speeds greater than the speed of sound in the medium.