Shock Waves in Liquids with “Two-Phase” Bubbles

Nail Suleiman Khabeev

doi:https://doi.org/10.14445/22315373/IJMTT-V65I3P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 3 | Year 2019 | Article Id. IJMTT-V65I3P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I3P513

Shock Waves in Liquids with “Two-Phase” Bubbles

Nail Suleiman Khabeev

Abstract

The propagation of shock waves in liquids with “two-phase” bubbles, containing heated solid particles is investigated. This question is connected with the problem of vapor explosions, when the liquid is boiling around heated particles.A mathematical model is used which takes into account both the liquid radial inertia due to medium volume changes, and the temperature distribution inside and around the bubbles. An analysis of the microscopic fields of physical parametersis aimed at closing the system of equations for averaged characteristics. The effect of the initial conditions, shock strength, volume fraction, and dispersity of the vapor phase and of the thermophysical properties of the phases on shock wave structure and relaxation time is studied. It has been established that an increase in the initial static pressure of the system, wave intensity and initial bubble radius, and a decrease in the initial void fraction lead to an increase in the distance of transition to the steady structure, as well as to an enhancement of the tendency towards oscillations in a wave.

Keywords

bubbles, liquid, solid particle, shock wave.

References

[1]. A.A. Gubaidullin, A.I. Ivandaev, R.I. Nigmatulin and N.S. Khabeev,Waves in Bubbly Liquids, in Advances in Science and Technology of VINITI, Ser.Mechanics of Fluids and Gases. 17 (Moscow, 1982), pp.160-249.
[2]. N.S.Khabeev, Simulation of vapor explosions, Applied Energy, 64(1999), pp.317-321.
[3]. RI. Nigmatulin, Dynamics of Multiphase Media, Hemisphere, Washington D.C., 1990.
[4]. N.S.Khabeev Dynamics of a two-phase bubble in compression wave. J.Eng.Physics&Thermophysics,vol.89, No 4,2016, Springer.

Citation :

Nail Suleiman Khabeev, "Shock Waves in Liquids with “Two-Phase” Bubbles," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 3, pp. 83-84, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I3P513