Sound Wave Scattering: Interface Total Potential?

AI Thread Summary
The discussion centers on the behavior of a plane sound wave when it encounters a solid object, leading to scattering. It questions whether the velocity potential at the interface between two fluids remains continuous or if it represents the total potential, which includes both the scattered and incident waves. Participants suggest that understanding the use of velocity potential could provide insights into this phenomenon. A referenced textbook may offer further clarification on acoustic scattered velocity potential. The inquiry highlights the complexities of sound wave interactions at fluid interfaces.
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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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