Distortion of the spherical shape of a vapor cavity in deuterated acetone

Нигматулин, Р. И.; Аганин, А. А.; Ilgamov, M. A.; Toporkov, D. Yu.

doi:10.1134/s1028335806060115

Cited by 3 publications

(3 citation statements)

References 8 publications

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“…The model used in [51] to describe the evolution of the deviation neglecting the vapor density and the nonuniformity of the vapor pressure can be obtained from Eqs. (5)-(7) for q n = 0.…”

Section: Model Of Bubble Deformationmentioning

confidence: 99%

“…The radial component of motion in SBSL is described using both the Rayleigh-Plesset model (weakly compressible liquid, uniform gas pressure distribution in the bubble) [37][38][39][40] and the full hydrodynamic model [9,[41][42][43][44][45][46][47][48][49][50][51]. The Rayleigh-Plesset model becomes inadequate to the full hydrodynamic model only in the final compression stage [48].…”

Section: Introductionmentioning

confidence: 99%

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Evolution of deviations from the spherical shape of a vapor bubble in supercompression

Нигматулин

Аганин

Ilgamov

et al. 2014

J Appl Mech Tech Phy

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This paper considers the evolution of small deviations of a cavitation bubble from a spherical shape during its single compression under conditions of experiments on acoustic cavitation of deuterated acetone. Vapor motion in the bubble and the surrounding liquid is defined as a superposition of the spherical component and its non-spherical perturbation. The spherical component is described taking into account the nonstationary heat conductivity of the liquid and vapor and the nonequilibrium nature of the vaporization and condensation on the interface. At the beginning of the compression process, the vapor in the bubble is considered an ideal gas with a nearly uniform pressure. In the simulation of the high-rate compression stage, realistic equations of state are used. The non-spherical component of motion is described taking into account the effect of liquid viscosity, surface tension, vapor density in the bubble, and nonuniformity of its pressure. Estimates are obtained for the amplitude of small perturbations (in the form of harmonics of degree n = 2, 3, . . . with the wavelength λ = 2πR/n, where R is the bubble radius) of the spherical shape of the bubble during its compression until reaching extreme values of pressure, density, and temperature. These results are of interest in the study of bubble fusion since the non-sphericity of the bubble prevents its strong compression.

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“…The model used in [51] to describe the evolution of the deviation neglecting the vapor density and the nonuniformity of the vapor pressure can be obtained from Eqs. (5)-(7) for q n = 0.…”

Section: Model Of Bubble Deformationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Evolution of deviations from the spherical shape of a vapor bubble in supercompression

Нигматулин

Аганин

Ilgamov

et al. 2014

J Appl Mech Tech Phy

Self Cite

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show abstract

“…Deviations from sphericity may arise under the action of the gravity force, nonhomogeneity of the pressure fields, thermal fluctuations, etc. With bub ble compression, the amplitude of small disturbances of its spherical form is increasing [24][25][26][27][28][29][30][31][32][33][34][35][36]. The sphericity disturbances of the bubble surface increased by the end of compression are just those that deter mine the initial nonsphericity of the shock wave radially converging in its cavity, because the shock wave is formed in the vicinity of the interphase boundary [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of radially converging shock waves in a bubble cavity

Аганин

Khalitova

Khismatullina

2014

Math Models Comput Simul

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This paper presents a numerical technique investigating the final stage of focusing a radially converging nonspherical shock wave in the neighborhood of center of the axially symmetric cavitation bubble subjected to strong compression. Hydrodynamic model used includes liquid compressibility, heat conductivity of vapor and liquid, as well as evaporation and condensation on the interphase sur face; the realistic wide range equations of state are used. The calculation is performed on moving grids with explicit accentuation of the bubble surface. This technique is based on the TVD modification of the Godunov second order accuracy scheme in space and time. Its efficiency is due to an allowance for the special features of the problem in the final stage of focusing of nonspherical shock wave in the central part of the bubble. After the value of deformation of the shock exceeds the threshold (i.e., when the shock wave becomes largely nonspherical) in the central field of the bubble the curvilinear radially diverging grid is changed by the rectilinear oblique angled grid close to Cartesian. At the same moment, the spherical immovable system of the reference frame is changed to a cylindrical system. The recalculation of the cell parameters from grid to grid is made by the method of conservative inter polation. The efficiency of the proposed approach is shown by the test problem's calculation results and an illustrative example.

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Strong expansion–contraction of a cavity in a fluid under acoustic action

Ilgamov¹

2014

Journal of Applied Mathematics and Mechanics

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Distortion of the spherical shape of a vapor cavity in deuterated acetone

Cited by 3 publications

References 8 publications

Evolution of deviations from the spherical shape of a vapor bubble in supercompression

Evolution of deviations from the spherical shape of a vapor bubble in supercompression

Numerical simulation of radially converging shock waves in a bubble cavity

Strong expansion–contraction of a cavity in a fluid under acoustic action

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