Spherical shock wave propagation in liquids

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Discussion Overview

The discussion centers on the propagation of spherical shock waves in liquids, specifically seeking formulas that relate propagation velocity to time and the pressure at the shock front. The context involves experimental results related to acoustic or shock waves induced by laser interactions with water.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses a need for formulas to describe spherical shock wave propagation in liquids and requests references for further information.
  • Another participant inquires about the context of the question and the specific course related to the inquiry.
  • A participant mentions that the formulas are needed to explain experimental results involving waves induced by laser-removed metal particles in water.
  • One suggestion is made to explore self-similar or 'Taylor' solutions as a potential analytical approach for dealing with shock waves, noting its common use in air but questioning its applicability to liquids.
  • References to literature on sonoluminescence and acoustic cavitation in liquids are provided as potentially relevant sources for understanding shock wave dynamics.
  • A participant recommends a specific book and review paper that cover underwater shock waves and suggests searching for publications related to laser-induced underwater shock waves.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the specific formulas or models for spherical shock wave propagation in liquids, and multiple approaches and references are suggested without agreement on a single solution.

Contextual Notes

The discussion reflects a variety of approaches and references, but there are limitations in the availability of empirical formulas and the applicability of suggested methods to the specific context of laser-induced shock waves in liquids.

Bpapdi
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Dear topic mates!

I'm an electric engineer and physicist student from Hungary.

I looking for description of the spherical shock wave propagation in liquids. I need a formula which give the relationship between the propagation velocity and time. Additionally, I wonder the pressure at the shock front. Can you help me, where can I find informations? If you have a book or printed article, wihich contain relevant infomation, copy it to here, please.

Thanks, Bence
 
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Bpapdi said:
Dear topic mates!

I'm an electric engineer and physicist student from Hungary.

I looking for description of the spherical shock wave propagation in liquids. I need a formula which give the relationship between the propagation velocity and time. Additionally, I wonder the pressure at the shock front. Can you help me, where can I find informations? If you have a book or printed article, wihich contain relevant infomation, copy it to here, please.

Thanks, Bence

Welcome to the PF. What course is this for? What is the context of the question?
 
berkeman said:
Welcome to the PF. What course is this for? What is the context of the question?

The formulas are need for explain experimental results. The investigated waves (acoustic wave or shock wave?) are induced by laser removed metal particle in water.

I have already searched in articles and in books for the required function, but i can't find empirical formula.
 
Hmm have you tried a self similar or 'Taylor' solution? I believe this is the the standard way to deal analytically with shocks. It's mainly used in air, but I can't recall a reason it wouldn't work in a liquid...
 
This reminds me of sonoluminescence research. Try:
Walton, Alan J "Sonoluminescence", Advances in Physics 1984, Vol 33, No. 6, 595-660
D. Felipe Gaitan et al, "Sonoluminescence and bubble dynamics for a single, stable cavitation bubble", J. Acoust. Soc. Am 91 (6), June 1992
Flynn, H. G.; "Physics of acoustic cavitation in Liquids", Physical Acoustics Academic, NY 1964, Vol 1, Part B
 
Hello Bpapdi,

you can find the general treatment of underwater shock waves in the first chapters of the book by http://www.archive.org/details/underwaterexplos00cole" It's an old book, but still very good, and it's free.
A good review paper that describes propagation of shock waves in liquids is http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JAPIAU000064000001000152000001&idtype=cvips&gifs=yes"
Laser induced underwater shock waves is a field in which http://www.bmo.uni-luebeck.de/index.php?id=vogel_pub" has quite some publications. I would also recommend to search for "water confined laser ablation".

I hope this helps.
 
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