1973
DOI: 10.1007/bf00851904
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Propagation of weak perturbations in two-phase media with phase transitions

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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%
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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%
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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%