Helmholtz Resonance

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Jul 24, 2020, 6:28:07 PM

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May 3, 2014, 7:46:12 PM

ω_{H} = \sqrt{\frac{γ \cdot A^{2} \cdot P_{0}}{m \cdot V_{0}}}

$omega_H = sqrt((gamma* "A" ^2* P_0 )/( "m" * V_0 )$

Cross-sectional Area

$"Cross-sectional Area"$

Static Pressure in Cavity

$"Static Pressure in Cavity"$

Air Mass in the opening

$"Air Mass in the opening"$

Static volume in Cavity

$"Static volume in Cavity"$

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94af469b-d2fb-11e3-b7aa-bc764e2038f2

The Helmholtz Resonance describes the phenomenon of air resonating in a cavity. The cavity in an applied case might be the cavity of an instrument like a guitar. We use a simpler geometric example in this equation to explain this simple phenomena observed when you blows across the mouth of an empty bottle.

In this equation the inputs are:

A -- cross sectional area of the neck of the bottle (or correspondingly the cross sectional area of the sound hole of the guitar)
$P_{0}$ $P_0$ -- static pressure in the cavity
m -- the mass of air in the neck of the bottle (or correspondingly the opening of the sound hole)
$V_{0}$ $V_0$ -- the static volume in the cavity

This equation, Helmholtz Resonance, references 1 page

Equations and Data Items

• ratio of specific heats, gamma by MichaelBartmess

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