Sound Wave Scattering: Interface Total Potential?

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SUMMARY

The discussion centers on the behavior of a plane sound wave (\varphi^i) when it encounters a solid object, leading to scattering. It specifically questions whether the scattered velocity potential remains continuous at the interface between two fluids with differing sound speeds (c1 and c2) or if the total potential, which includes both the scattered and incident waves, is continuous. The inquiry suggests that understanding the role of velocity potential is crucial, and a referenced textbook may provide further insights into acoustic scattered velocity potential.

PREREQUISITES
  • Understanding of acoustic wave propagation
  • Familiarity with velocity potential concepts in fluid dynamics
  • Knowledge of sound speed variations in different media
  • Basic principles of wave scattering
NEXT STEPS
  • Research the concept of acoustic scattered velocity potential in detail
  • Study the principles of wave scattering at fluid interfaces
  • Examine the mathematical formulation of total potential in acoustics
  • Explore relevant sections in the referenced textbook for deeper insights
USEFUL FOR

Acoustic engineers, physicists, and students studying fluid dynamics or wave mechanics who are interested in sound wave interactions with solid objects and fluid interfaces.

nawidgc
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Consider a plane sound wave (\varphi^i) incident up on a solid object . The object will scatter this incident wave. Let this scattered wave pass through an interface separating two different fluids (say with sound speeds c1 and c2). Now at the interface, is the scattered velocity potential continuous or the total potential? By total potential, I mean the scattered wave plus the incident wave.
 
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Interesting - how would you go about figuring it out?
Something in the way a velocity potential is used?
 

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