Speed of sound: Difference between revisions

Revision as of 14:30, 23 May 2012

The speed of sound ( $c$ ) can be written as:

c={\sqrt {\left.{\frac {\partial p}{\partial \rho }}\right\vert _{S}}}={\sqrt {\frac {B_{S}}{\rho }}}

where $B$ is the adiabatic bulk modulus, given by

B_{S}={\frac {C_{p}}{C_{V}}}B_{T}

where $C$ is the heat capacity and $B_{T}$ is the isothermal bulk modulus, leading to

c={\sqrt {\frac {C_{p}B_{T}}{C_{V}\rho }}}

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-The '''speed of sound''' (<math>c</math>)
+The '''speed of sound''' (<math>c</math>) can be written as:
+:<math>c =  \sqrt{ \left. \frac{\partial p}{\partial \rho} \right\vert_S } = \sqrt{ \frac{B_S}{\rho} }</math>
-:<math>c :=  \sqrt{ \left. \frac{\partial p}{\partial \rho} \right\vert_S } </math>
+where <math>B</math> is the adiabatic [[Compressibility |bulk modulus]], given by
+:<math>B_S = \frac{C_p}{C_V} B_T</math>
+where <math>C</math> is the [[heat capacity]] and <math>B_T</math> is the isothermal bulk modulus, leading to
+:<math>c =  \sqrt{  \frac{C_p B_T}{C_V \rho} }</math>
+==References==
+<references/>
+[[category: classical mechanics]]