Pressure wave through liquid in pipe

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SUMMARY

The discussion focuses on modeling pressure waves traveling through a liquid in a pipe with varying cross-sectional areas, specifically a semicircular section followed by a conical section. The user seeks to determine the shape of the wavefront at the end of the cone, acknowledging that a simple formula is insufficient for this analysis. Instead, the conversation emphasizes the necessity of using numerical modeling techniques, particularly through software like COMSOL, to accurately simulate the wave propagation and curvature of the wavefront.

PREREQUISITES
  • Fluid mechanics principles
  • Wave equation understanding
  • Numerical modeling techniques
  • Familiarity with COMSOL Multiphysics
NEXT STEPS
  • Research the application of wave equations in fluid dynamics
  • Learn how to use COMSOL for fluid flow simulations
  • Explore numerical methods for solving partial differential equations
  • Investigate the effects of varying cross-sectional areas on wave propagation
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Fluid mechanics engineers, researchers in wave propagation, and anyone involved in numerical modeling of fluid dynamics will benefit from this discussion.

g_mogni
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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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