Water deformation subjected to ultrasound waves

  • #1
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Main Question or Discussion Point

Hello everyone, in one of my projects I am dealing with the following problem:

We have a tank filled of water. If we assumed that a focused ultrasond beam hit the water perpendicularly to the surface. How
can I calculate the displacement of the water surface? In particular, I am interested in finding a formula, which describes the profile of the water surface displaced. (hp: the ultrasound beam hit only a circular area with diameter d of the surface of the water)

If you have any suggestion, link or book on what to look for to solve this problem please let me know. I have looked in internet but I did not find anything about it, probably because I am missing the physical concept, which is behind this phenomenon.

Thanks for those who will answer.
 

Answers and Replies

  • #2
Baluncore
Science Advisor
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Welcome to PF.
Assuming the water is of infinite depth, so there is no internal reflection.
The acoustic impedance of the air and of the water are not the same, so the incident ultrasonic wave will be partially reflected by the impedance mismatch at the water surface. The component that is transmitted into the water will move the surface of the water at the ultrasonic frequency.
https://en.wikipedia.org/wiki/Acoustic_impedance
https://en.wikipedia.org/wiki/Acoustic_wave#Reflection
https://en.wikibooks.org/wiki/Engineering_Acoustics/Reflection_and_transmission_of_planar_waves
 
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