Propagation of weak perturbations in two-phase media with phase transitions

Ivandaev, A. I.; Нигматулин, Р. И.

doi:10.1007/bf00851904

Cited by 3 publications

(6 citation statements)

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“…Linearized conservation equations of mass, momentum and energy for the planar one-dimensional motion of a dilute mixture in a reference frame where an initially equilibrium heterogeneous mixture is a t rest (ulo = uzo = uo = 0) can be written in the form (see Ivandaev 1978) Here (1) are the mass and momentum conservation equations of the continuous (subscript 1) and the dispersed (subscript 2 ) phases, and ( 2 ) are the equations of heat influx to gas (vapour), particles (droplets) and the surface of an individual droplet. The symbols p, po, a. u, P and i denote, respectively, mean and true densities, volume fraction, velocity, internal energy and enthalpy; p is a pressure, a and n are the radius of particles and their number density, 1 is the latent heat of evaporation.…”

Section: Linearized Equations Of Motion and Statementioning

confidence: 99%

“…In writing (26), we used the complex relaxation time of temperature between phases 7; discussed earlier (see ( 2 2 ) ) . The dispersion equations (24), (26) a t sufficiently low frequencies w < 10-'7;; are simpler (see Ivandaev 1978).…”

Section: Dispersion Equationsmentioning

confidence: 99%

“…A number of papers have treated the dispersion and absorption of weak perturbations in vapour-and gas-droplet mixtures under phase transformations (Stadtke 1968 ;Ivandaev & Nigmatulin 1970;Ivandaev 1978 ; Gumerov, Ivandaev & Nigmatulin 1983).…”

Section: Introductionmentioning

confidence: 99%

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Sound waves in monodisperse gas-particle or vapour-droplet mixtures

Gumerov

Ivandaev²,

Нигматулин³

1988

J. Fluid Mech.

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A brief review of the relevant papers and an examination of the current status of research in the field of the acoustics of gas-particle suspensions are given. Non-stationary momentum, mass and energy transfer processes between a gas (vapour) and dispersed particles (droplets) under high-frequency acoustic perturbations are considered. A comparative evaluation of characteristic times and temperature differences for gas-particle and vapour-droplet mixtures subjected to acoustic perturbation is given. General dispersion equations to describe the propagation of weak monochromatic waves for a wide range of frequencies complying with the requirements of the acoustic homogeneity of the medium are derived. Frequency dependences of propagation velocity and attenuation coefficient of weak waves in water vapour-droplet mixtures are investigated. Frequency ranges are indicated over which different types of approximate theories are valid.

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Section: Linearized Equations Of Motion and Statementioning

confidence: 99%

Section: Dispersion Equationsmentioning

confidence: 99%

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Sound waves in monodisperse gas-particle or vapour-droplet mixtures

Gumerov

Ivandaev²,

Нигматулин³

1988

J. Fluid Mech.

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“…The evaporation rate is assumed to be dominated by the diffusion of vapor within the gas. On the contrary, Ivandaev and Nigmatulin 11 investigate the case of a liquid droplet in suspension within its vapor only. The evaporation rate is determined by the Hertz-Knudsen-Langmuir formula [12][13][14] involving the so-called evaporation coefficient.…”

Section: Introductionmentioning

confidence: 97%

“…Viglin 6 and Oswatitsch 7 investigate the effects of evaporation and condensation, assuming in a simplified analysis the two phases have the same speed and temperature. This approach is extended by Marble, 8 Marble and Wooden, 9 Cole and Dobbins, 10 and Ivandaev and Nigmatulin 11 to the case of different speeds and temperatures for the two phases. In particular, a peak of the attenuation per wavelength associated with phase change effects is predicted.…”

Section: Introductionmentioning

confidence: 98%

Sound, infrasound, and sonic boom absorption by atmospheric clouds

Baudoin

Coulouvrat

Thomas

2011

The Journal of the Acoustical Society of America

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This study quantifies the influence of atmospheric clouds on propagation of sound and infrasound, based on an existing model [Gubaidulin and Nigmatulin, Int. J. Multiphase Flow 26, 207-228 (2000)]. Clouds are considered as a dilute and polydisperse suspension of liquid water droplets within a mixture of dry air and water vapor, both considered as perfect gases. The model is limited to low and medium altitude clouds, with a small ice content. Four physical mechanisms are taken into account: viscoinertial effects, heat transfer, water phase changes (evaporation and condensation), and vapor diffusion. Physical properties of atmospheric clouds (altitude, thickness, water content and droplet size distribution) are collected, along with values of the thermodynamical coefficients. Different types of clouds have been selected. Quantitative evaluation shows that, for low audible and infrasound frequencies, absorption within clouds is several orders of magnitude larger than classical absorption. The importance of phase changes and vapor diffusion is outlined. Finally, numerical simulations for nonlinear propagation of sonic booms indicate that, for thick clouds, attenuation can lead to a very large decay of the boom at the ground level.

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Wave propagation and choking in two-phase two-component flow

Liles

1974

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Propagation of weak perturbations in two-phase media with phase transitions

Cited by 3 publications

References 1 publication

Sound waves in monodisperse gas-particle or vapour-droplet mixtures

Sound waves in monodisperse gas-particle or vapour-droplet mixtures

Sound, infrasound, and sonic boom absorption by atmospheric clouds

Wave propagation and choking in two-phase two-component flow

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