Latvian Maritime academy

Description of researchIf volume content of bubbles in a unit of mixture volume 2~ 1%, stable bubble structure ofenvironment will form. Typical peculiarity of such liquid with general pressures when real density of0dispersed phase much more less than real density of carrying phase is high average density:20200 0 112 11 121, 11 201 (1)0 0closely approximated to density of carrying phase due to 2 1, 21, subject to high (incomparison with pure liquid without bubbles) compressibility [4,6].Gas compressibility is much higher than liquid condensability. Therefore, mixture compressibility isdefined by gas compressibility in bubbles and liquid compressibility could be neglected that is liquidwould be considered incompressible: (2)11 0Let us assume also that mass of gas dissolved in water could be neglected in comparison with liquidmass. Then, subject to (1) we will get: 1(3) 0 2 10Let us deduce barotropic equation of bubble mixture stateequilibrium. The latter means:v1 v 2,1T2Here,T , p 1 p 2 pv , p , T ( i 1, 2p p which is in thermodynamic) – speed, pressure and temperature of i phase. Indexes 1 and 2 meani i iparameters relating liquid and gas, relatively.Let us consider that bubbles have equal radius and spread evenly for volume [4,6]. Two-phaseenvironment of bubble structure differs from other two-phase environments by the fact that thermalcapacity of carrying phase c 1 1exceeds significantly thermal capacity of dispersed phase c 2 2due topredominant mass content of carrying phase in unit volume [4,6]: cc , / 1T1c12c21~2 1 2In this regard, liquid is a thermostat and has permanent temperature that is1 T2 T0followspp0Then, from Clapeyron-Mendeleev equation for gas in bubbles22 0or0p 2RT 00 0 p2 20(4)pHere, p0and 2is pressure and density of gas in initial state. Volume content of bubbles 02isconnected with number n of bubbles with radiuses R in unit volume of gas-liquid mixture by formulas4 R 3 2 n(5)3As processes of crushing, adhesion and formation of new particles are absent in gas-liquid mixture,numerical concentration of dispersed particles in one-velocity dispersed mixture is proportional tomixture density that isnn0 0From ratios (5) and (6) it follows that2 20RR0 30(6)(7)45