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| The '''Minnaert resonance'''<ref>{{Citation |last=Minnaert |first=M. |authorlink=Marcel Minnaert |year=1933 |title=On musical air-bubbles and the sound of running water |journal=Philosophical Magazine |volume=16 |issue=104 |pages=235–248 |doi=10.1080/14786443309462277}}</ref> is the [[acoustic resonance|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
| | Friends call him Tad. His day job is an auditing officer. Researching fashion is one of the things he loves most. South Dakota has always been his home. He is running and maintaining a blog here: http://www.vampire.echoesofempires.org/index.php?title=User_talk:InezSaccoiqpxg<br><br>Feel free to surf to my web blog :: [http://www.vampire.echoesofempires.org/index.php?title=User_talk:InezSaccoiqpxg calvin klein baratos contrareembolso] |
| :<math>
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| f = \cfrac{1}{2\pi a}\left(\cfrac{3\gamma~p_A}{\rho}\right)^{1/2}
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| </math>
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| where <math>a</math> is the radius of the bubble, <math>\gamma</math> is the [[polytropic]] coefficient, <math>p_A</math> is the [[Ambient space|ambient]] pressure, and <math>\rho</math> is the density of water. This formula can also be used to find the resonant frequency of a bubble cloud with <math>a</math> as the radius of the cloud and <math>\rho</math> the difference between the density of water and the bulk density of the cloud. For a bubble in water at standard pressure <math>(p_A=100~ {\rm kPa}, ~ \rho=1000~ {\rm kg/m^3})</math>, this equation reduces to
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| <math>
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| f a \approx 3.26~ \rm m/s
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| </math>,
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| where <math> f~ </math> is the resonant frequency of the bubble.
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| == References ==
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| <references/>
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| == External links ==
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| *[http://ams.allenpress.com/perlserv/?request=get-document&doi=10.1175%2F1520-0426(2000)017%3C0847%3ALFRSOB%3E2.0.CO%3B2&ct=1 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.
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| [[Category:Sound]]
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| [[Category:Bubbles]]
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Latest revision as of 20:37, 3 December 2014
Friends call him Tad. His day job is an auditing officer. Researching fashion is one of the things he loves most. South Dakota has always been his home. He is running and maintaining a blog here: http://www.vampire.echoesofempires.org/index.php?title=User_talk:InezSaccoiqpxg
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