Organ Pipes: Wave Reflection Explained

Thread starter sadhu
Start date Feb 13, 2008
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Pipes

AI Thread Summary

Sound waves in an open tube reflect due to boundary conditions at the ends of the tube. In an open pipe, the pressure wave must equal zero at the open end, leading to a standing wave described by the sine function. Conversely, in a closed pipe, the pressure gradient is zero at the closed end, resulting in a standing wave described by the cosine function. These conditions create specific wave patterns that facilitate reflection, even in the absence of a physical reflecting medium. Understanding these principles is essential for analyzing sound wave behavior in different types of tubes.

Feb 13, 2008

sadhu

I want to know that what exactly causes the wave to get reflected in an open tube when there is nothing sort of a reflecting medium.

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Feb 13, 2008

pam

The sound wave is really a pressure wave, with standing waves of the form
p=cos kx or sin kx. The boundary condition at the x=0 end of an open pipe is that p=0,
giving sin kx. At the x=0 end of a closed pipe, the BC is dp/dx=0 (or p is a maximum),
gilving cos kx.

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