基于Gilmore空化泡动力学方程，考虑液体黏性、表面张力、可压缩性、水分子扩散及导热影响，建立湍流作用下孔板空化器下游流场的空化泡动力学模型。采用四阶龙格-库塔法对该空化泡动力学模型进行数值求解，再现空化泡沿流动方向的生长、溃灭和反弹过程。采用基于稳态平衡假设的FactSage软件，以数值求解获得的空化泡内温度、压力和水分子数作为输入参数，计算和分析溃灭瞬间空化泡内的分解产物尤其是具有强氧化性的羟基自由基产量。
Based on Gilmore bubble dynamic equation, a model, which takes the viscosity, surface tension, compressibility, water molecular diffusion, and heat conduction into consideration, is built to describe bubble dynamic behavior in the turbulent orifice flow. The mathematical model is solved by using the fourth Runge-Kutta approach, and the cavitation bubble growth, collapse, and rebound process are described. With the temperature, pressure, and number of water molecules obtained by using the mathematical model as the input parameters, the productions of hydroxyl radicals with high oxidation under different conditions are calculated and the effecting parameters are analyzed.
[1] Gogate P R. Cavitation:an auxiliary technique in waste water treatment schemes[J]. Advances in Environmental Research, 2002, 6(3):335-358.
[2] Eilers R. Hydrodynamic cavitation oxidation destroys organics[EB/OL]//EPA Groundwater Currents. (1994-03)[2016-05-20].http://clu-in.org/download/newsltrs/gwc0394.pdf.
[3] Gogate P R, Pandit A B. A review and assessment of hydrodynamic cavitation as a technology for the future[J]. Ultrasonics Sonochemistry, 2005, 12(1/2):21-27.
[4] 蔡军, 淮秀兰, 闫润生, 等. 湍流作用下水力空化气泡内温度演变的动力学分析[J]. 科学通报, 2011, 56(12):947-955.
[5] 蔡军, 淮秀兰,李勋锋. 湍流作用下可压缩液体中空化泡的动力学特性[J]. 科学通报, 2010, 55(10):857-866.
[6] Didenko Y T, Suslick K S. The energy efficiency of formation of photons, radicals and ions during single-bubble cavitation[J]. Nature, 2002, 418(6896):394-397.
[7] Storey B D, Szeri A J. Water vapour, sonoluminescence and sonochemistry[J]. Proceedings of the Royal Society A, 2000, 456(1999):1685-1709.
[8] Gogate P R. Treatment of wastewater streams containing phenolic compounds using hybrid techniques based on cavitation:a review of the current status and the way forward[J]. Ultrasonics Sonochemistry, 2008, 15(1):1-15.
[9] Wang J A, Wang X K, Guo P Q, et al. Degradation of reactive brilliant red K-2BP in aqueous solution using swirling jet-induced cavitation combined with H2O2[J]. Ultrasonics Sonochemistry, 2011, 18(2):494-500.
[10] Saharan V K, Pandit A B, Kumar P S, et al. Hydrodynamic cavitation as an advanced oxidation technique for the degradation of acid red 88 Dye[J]. Industrial & Engineering Chemistry Research, 2011, 51(4):1981-1989.
[11] Saharan V K, Rizwani M A, Malani A A, et al. Effect of geometry of hydrodynamically cavitating device on degradation of orange-G[J]. Ultrasonics Sonochemistry, 2013, 20(1):345-353.
[12] Cussler E L. Diffusion:mass transfer in fluid systems[M]. Cambridge:Cambridge University Press, 2009.
[13] Hirschfelder J O, Curtiss C F, Bird R B, et al. Molecular theory of gases and liquids[M]. New York:Wiley, 1954.
[14] Yasui K, Tuziuti T, Sivakumar M, et al., Theoretical study of single-bubble sonochemistry[J]. The Journal of Chemical Physics, 2005, 122(22):224706.
[15] Cai J, Huai X L, Li X F. Dynamic behaviors of cavitation bubble for the steady cavitating flow[J]. Journal of Thermal Science, 2009, 18(4):338-344.
