Chemistry - Acoustic theory

Acoustic theory is the field relating to mathematical description of sound waves. It is derived from fluid dynamics. See acoustics for the engineering approach.

The propagation of sound waves in air can be modeled by an equation of motion (conservation of momentum) and an equation of continuity (conservation of mass). With some simplifications, in particular constant density, they can be given as follows:

$\rho_0 \frac{\partial}{\partial t} \mathbf{v}(\mathbf{x}, t) + \nabla p(\mathbf{x}, t) = 0$

$\frac{\partial}{\partial t} p(\mathbf{x}, t) + \rho_0 c^2 \nabla \cdot \mathbf{v}(\mathbf{x}, t) = 0$

where $p(\mathbf{x}, t)$ is the acoustic pressure and $\mathbf{v}(\mathbf{x}, t)$ is the acoustic fluid velocity vector, $\mathbf{x}$ is the vector of spatial coordinates $x, y, z$ , $t$ is the time, $ρ 0$ is the static density of air and $c$ is the speed of sound in air.

Transfer function
Sound pressure
Acoustic impedance
Acoustic resistance
law of gases
Frequency
Fourier analysis
Instrumental acoustics
Music theory
Voice production
Formant
Speech synthesis
Loudspeaker acoustics
Lumped component model

Categories: Fluid dynamics

Acoustic theory

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