Interaction of shock waves and protective screens in a liquid and in a two-phase medium

Gel’fand, B. E.; Gubanov, A. V.; Timofeev, E. I.

doi:10.1007/bf00911988

Cited by 2 publications

(1 citation statement)

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“…We know of the capabilities of bubble screens used, e.g., for protection against explosive loading [1][2][3][4]. In the mentioned works, in analyzing, use was usually made of an isothermal model of a gas-liquid medium [5,6]; consideration was mainly given to one-dimensional problems.…”

Section: Introductionmentioning

confidence: 99%

Modeling of the Interaction of an Underwater Shock Wave and an Obstacle in the Presence of a Bubble Screen

Surov

2016

J Eng Phys Thermophy

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532.529.5The author has described a modifi ed Godunov method intended to integrate hyperbolic equations of a generalized equilibrium model in divergent form. With the indicated method, the author has investigated the problem of interaction of an underwater shock wave and an obstacle in the presence of a bubble screen.Keywords: one-velocity multicomponent mixture, hyperbolic system of equations, Godunov method, linearized Riemannian solver, mathematical modeling.Introduction. We know of the capabilities of bubble screens used, e.g., for protection against explosive loading [1][2][3][4]. In the mentioned works, in analyzing, use was usually made of an isothermal model of a gas-liquid medium [5, 6]; consideration was mainly given to one-dimensional problems.In the present work, we use a hyperbolic generalized equilibrium model [7] in which account has been taken of interfractional-interaction forces. The employment of the generalized equilibrium model makes it possible to eliminate inconsistencies inherent in the earlier models. In particular, when use is made of an isothermal model in the problem on motion of a shock wave across a gas-liquid mixture under the assumption of the liquid-fraction′s incompressibility, there is a total collapse of gas bubbles behind its front irrespective of the shock-wave strength and the share of the gas in an undisturbed medium. This is inconsistent with the physics of the phenomenon. Furthermore, it is impossible to explain the phenomenon of sonoluminescence within the framework of the isothermal model [8].For an adiabatic version of the generalized equilibrium model, the differential equations of the n component mixture with the fi rst m (m > 1) compressible fractions are of the form

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Section: Introductionmentioning

confidence: 99%