Sound and weak shock wave propagation in gas-liquid foams |
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Authors: | I Goldfarb Z Orenbakh I Shreiber F Vafina |
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Institution: | (1) Dept. of Mathematics and Computer Science, Ben-Gurion University of the Negev, Beer-Sheva, P.O.B. 653, Israel, IL;(2) Veritas Technology Solutions Ltd, 27 Levin Kipnis str., Beer-Sheva, Israel, IL;(3) Inst. for Industrial Mathematics, 22 Ha-histadrut str., Beer-Sheva 84213, Israel, IL;(4) Inst. of Earth Cryosphere, Academy of Sciences (Siberian Branch), 625000 Tyumen, P.O.B. 1230, Russia, RU |
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Abstract: | Propagation of sound and weak shock waves in gas-liquid foams is investigated theoretically and experimentally. An original
physical model is developed to describe the evolution of small perturbations in a foam of polyhedral structure. The model
developed takes into account both peculiarities of interface heat transfer in foam and liquid motion through the system of
Plateau-Gibbs borders which results in the appearance of an additional hydrodynamic dissipative force. The Rayleigh equation
analog, which takes into account the latter phenomenon, is obtained. Structure and dynamics of weak shock waves are investigated.
A vertical shock tube was constructed and used to measure the parameters of weak shock wave propagation in gas-liquid foams
of polyhedral structure. Spectral analysis of the data obtained shows that there are weak dispersion and strong dissipation
of the initial signal. Comparison of the evolution of experimental and theoretical profiles permits to conclude that the suggested
model allows to describe the peculiarities of acoustical perturbations in gas-liquid foam more precisely than it follows from
the standard models.
Received 15 September 1993 / Accepted 27 December 1993 |
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Keywords: | : Weak shock waves Sound waves Gas-liquid foam Plateau-Gibbs borders |
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