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Study of two-phase bubbly flow dynamics in binary mixtures

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Abstract

The results of an investigation of the bubble dynamics and wave phenomena in two-component vapor-liquid mixtures are presented. These mixtures are widely used in industrial systems as heat transfer media. The effects of various additives on the wave dynamics of vapor-liquid mixtures are of particular interest. A single-velocity two-pressure model was used which takes into account both the liquid radial inertia due to medium volume changes, and the temperature distribution around the bubbles. The claim that mixture composition may have a peculiar effect on the bubble dynamics of a boiling non-ideal solution is substantiated. It is noted that the small free radial oscillation damping ratio for some binary systems lies outside the domain defined by the damping ratio of the constituents as a result of phase change diffusion effects. A criterion is proposed to identify cases of diffusion resistance responsible for the anomalous effect of component concentration on bubble behavior. The phase change delay due to diffusion results in observably higher mixture wave velocities and a smaller damping ratio than for respective single-component systems.

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Abbreviations

a :

thermal diffusivity

c p :

specific heat at constant pressure

D :

diffusion coefficient

Δh v :

specific latent heat of vaporization

j i :

phase transition rate of i-th component per unit interfacial area

k :

molecular concentration of first component

K(r) :

small deviation of molecular concentration

Le:

Lewis number (a/D)

n :

number of bubbles per unit volume

N i :

molar concentration of thei-th component in liquid

N l,v :

molar concentration of first component in liquid and vapor, respectively

p 1, p2 :

component partial pressures

p :

pressure

P i :

small deviation of pressure

Pe:

Peclet number

R :

bubble radius

Re:

Reynolds number

R g :

universal gas constant

T :

temperature

t :

time

V :

volume

v :

longitudinal velocity

w :

liquid velocity at the bubble surface

x :

longitudinal coordinate

Z i :

small deviation of density

α :

void fraction

β :

damping ratio

γ :

activity coefficient

μ i :

molecular mass ofi-th component

λ :

thermal conductivity

ν :

kinematic viscosity

ω :

radial frequency

ϱ :

density

κ :

specific heat ratio

σ :

surface tension

θ :

small deviation of temperature

Λ :

logarithmic decrement

i :

mixture components (i=1,2)

l :

liquid

R :

at bubble surface

v :

vapor

v o :

for vapor initial conditions

∞:

at infinity

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Author information

Authors and Affiliations

  1. Thermal Engineering and Energy Research Department, The Vinca Institute of Nuclear Sciences, P.O. Box 522, YU-11001, Belgrade, Serbia, Yugoslavia

    J. R. Riznic

  2. Institute of Mechanics, The Moscow State University, Micurinski prosp. 1, Moscow, Russia

    N. S. Khabeev

Authors
  1. J. R. Riznic
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  2. N. S. Khabeev
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Additional information

This article was processed using Springer-Verlag TEX Shock Waves macro package 1992 and the AMS fonts, developed by the American Mathematical Society.

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Riznic, J.R., Khabeev, N.S. Study of two-phase bubbly flow dynamics in binary mixtures. Shock Waves 2, 49–56 (1992). https://doi.org/10.1007/BF01414421

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  • DOI: https://doi.org/10.1007/BF01414421

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