Pressure wave through liquid in pipe

AI Thread Summary
A pressure wave traveling through a liquid in a pipe changes shape as it moves from a constant cross-section to a cone of increasing area. The wavefront at point A is planar, but at point B, it is expected to have a slight spherical curvature due to the pipe's geometry. There is no simple formula for determining the wavefront shape; instead, modeling the wave propagation using a wave equation is recommended for accurate results. Numerical analysis software like COMSOL can effectively simulate this scenario. Understanding these dynamics requires a more complex approach than straightforward calculations.
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Hello,

I'm a bit rusty with my fluid mechanics and can't seem to find the answer anywhere. Basically I have a pressure wave traveling in a liquid at the speed of sound through a pipe of the shape shown in the attachment (basically a semicircle of constant cross sectional area and then a cone of increasing area. At point A I know the wave has planar wavefront. Is there any formula to work out the shape of the wavefront at the end of the cone at point B, which I suppose will have a slight spherical curvature due to the changing cross-sectional size of the pipe?

Thanks
 

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There isn't really "a formula" that you can use to determine this by just plugging some numbers in. You could solve the system pretty accurately by modeling it with a wave equation and letting the wave propagate through your geometry to see how it ends up. That's quite a bit more involved than just using a formula to spit out an answer, though.
 
Do you happen to know if a software like COMSOL or other similar programs can perform such analysis numerically?

Thanks
 

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