Minnaert resonance
Encyclopedia
The Minnaert
resonance is the acoustic
resonance
frequency of a single bubble in an infinite domain of water (neglecting the effects of surface tension
and viscous attenuation
). The resonant frequency is given by
where
is the radius of the bubble, 
is the polytropic coefficient, 
is the ambient
pressure, and
is the density of water. This formula can also be used to find the resonant frequency of a bubble cloud with 
as the radius of the cloud and 
the effective density of the cloud. For a bubble in water at standard pressure 
, this equation reduces to
,
where
is the resonant frequency of the bubble.
Marcel Minnaert
Marcel Gilles Jozef Minnaert was a Belgian astronomer.He obtained a PhD in biology at Ghent University in 1914....
resonance is the acoustic
Acoustic resonance
Acoustic resonance is the tendency of an acoustic system to absorb more energy when it is forced or driven at a frequency that matches one of its own natural frequencies of vibration than it does at other frequencies....
resonance
Resonance
In physics, resonance is the tendency of a system to oscillate at a greater amplitude at some frequencies than at others. These are known as the system's resonant frequencies...
frequency of a single bubble in an infinite domain of water (neglecting the effects of surface tension
Surface tension
Surface tension is a property of the surface of a liquid that allows it to resist an external force. It is revealed, for example, in floating of some objects on the surface of water, even though they are denser than water, and in the ability of some insects to run on the water surface...
and viscous attenuation
Attenuation
In physics, attenuation is the gradual loss in intensity of any kind of flux through a medium. For instance, sunlight is attenuated by dark glasses, X-rays are attenuated by lead, and light and sound are attenuated by water.In electrical engineering and telecommunications, attenuation affects the...
). The resonant frequency is given by
where
is the radius of the bubble, is the polytropic coefficient, is the ambientAmbient space
An ambient space, ambient configuration space, or electroambient space, is the space surrounding an object.-Mathematics:In mathematics, especially in geometry and topology, an ambient space is the space surrounding a mathematical object...
pressure, and
is the density of water. This formula can also be used to find the resonant frequency of a bubble cloud with as the radius of the cloud and the effective density of the cloud. For a bubble in water at standard pressure , this equation reduces to,where
is the resonant frequency of the bubble.External links
- Low-Frequency Resonant Scattering of Bubble Clouds by Paul A. Hwang and William J. Teague, 2000, Journal of Atmospheric and Oceanic Technology, vol. 17, no. 6, pp. 847-853.