Latvian Maritime academy

Let us assume that gas is insoluble. Bubbles dynamics subject to solubility of gas in liquid wasconsidered in [2, 3, 5,7]. Gas solubility will not practically influence equation of gas-liquid mixture state.0 0This is explained by the fact that due to 2 1, 21mass concentration of dissolved gas issignificantly less than mass concentration of liquid.Let us consider equation of conservation of individual insoluble bubble mass:ddt4 0 3 R 2 0 3 or R0 R020203If we take into account equations (4) and (8) correlation (7) could be transformed asp 02 20(9) p00If we substitute (9) in (3), we will get state equation [1,6]:101 or 20p 0ppp200 010Dependence of dimensionless values of pressure and water mixture density with gas bubbles is statedin Fig. 1. Curves 1-4 correspond to bubble mixtures with volume content of gas 3 %; 5 %; 7% and 1 %.As it is shown from figure, while increase of pressure p / p 01 density of bubble mixture increases / 1 0and on the contrary while p / p 01 / 1 0(8)(10) .Behavior of the curves in Fig. 1 shows also that increase of volume content of gas results in growthof mixture compressibility in whole. The higher gas content20, the lower values of pressurep / p 1 0are required for compression of mixture / 01content20. And on the contrary, increase of gas results in more pressure values p / p 01 required for mixture exhaustion / 01 .Figure 1. Dependence of pressure on bubbly water density.Let us deduce equation of bubble liquid state in thermodynamically equilibrium approximationsubject to compressibility of carrying phase and surface tension. Let us replace expression (2) to acousticequation of liquid state:46