Difference between revisions of "Template:Velocity potential in frequency domain"

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<center>
 
<center>
 
<math>
 
<math>
\Phi(\mathbf{x},t) = \mathrm{Re} \left\{\phi(\mathbf{x},\omega)\right\}.
+
\Phi(\mathbf{x},t) = \mathrm{Re} \left\{\phi(\mathbf{x},\omega)e^{\mathrm{i} \omega t}\right\}.
 
</math>
 
</math>
 
</center>
 
</center>

Revision as of 11:41, 21 August 2009

The water motion is represented by a velocity potential which is denoted by [math]\displaystyle{ \phi\, }[/math] so that

[math]\displaystyle{ \Phi(\mathbf{x},t) = \mathrm{Re} \left\{\phi(\mathbf{x},\omega)e^{\mathrm{i} \omega t}\right\}. }[/math]