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Strong shock waves propagating through a bubbly mixture

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Abstract

Relatively strong shock waves propagating through a mixture of an aqueous glycerol solution and small helium or argon bubbles are investigated experimentally. Shock strength and void fraction are varied in the experiments. Results regarding shock speed and other aspects are presented and discussed in connection with previous studies. Good agreement with isothermal theory is found.

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Abbreviations

c g :

sound speed of gas

g :

acceleration of gravity

n :

polytropic exponent

p 0 :

initial pressure above the mixture free surface

p 1 :

pressure immediately ahead of the shock front

p 2 :

pressure immediately behind the shock front

R :

bubble radius

t :

time

U :

shock speed

x :

axial space coordinate along the shock tube

α1 :

void fraction immediately ahead of the shock front

α thg :

thermal diffusivity of gas

α 1 :

initial mean void fraction

γ:

ratio of specific heats

δ thg :

thermal penetration depth in gas

λ g :

acoustic wavelength in gas

ϱ l :

liquid density

ω:

angular frequency of bubble oscillation

B :

axial position of pressure transducer B

C :

axial position of pressure transducer C

D :

axial position of pressure transducer D

L :

axial position of the bubble generator

expt:

experiment

calc:

calculation

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Authors and Affiliations

  1. Chemical Engineering Department, Northwestern University, 60201, Evanston, IL, USA

    M. J. Tan & S. G. Bankoff

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  1. M. J. Tan
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  2. S. G. Bankoff
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Tan, M.J., Bankoff, S.G. Strong shock waves propagating through a bubbly mixture. Experiments in Fluids 2, 159–165 (1984). https://doi.org/10.1007/BF00296434

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  • DOI: https://doi.org/10.1007/BF00296434

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