Spherical shock wave propagation in liquids

[Bpapdi]

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

 

[berkeman]

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?

 

[Bpapdi]

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.

 

[reasonableman]

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...

 

[Q_Goest]

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

 

[mind]

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.