Estimation of mass transfer coefficient in ozone absorption by linear least square fitting and Simplex search methods

Abstract

For physical ozone absorption without reaction, two parametric estimation methods, i. e. the common linear least square fitting and non-linear Simplex search methods, were applied, respectively, to determine the ozone mass transfer coefficient during absorption and both methods give almost the same mass transfer coefficient. While for chemical absorption with ozone decomposition reaction, the common linear least square fitting method is not applicable for the evaluation of ozone mass transfer coefficient due to the difficulty of model linearization for describing ozone concentration dissolved in water. The nonlinear Simplex method obtains the mass transfer coefficient by minimizing the sum of the differences between the simulated and experimental ozone concentration during the whole absorption process, without the limitation of linear relationship between the dissolved ozone concentration and absorption time during the initial stage of absorption. Comparison of the ozone concentration profiles between the simulation and experimental data demonstrates that Simplex method may determine ozone mass transfer coefficient during absorption in an accurate and high efficiency way with wide applicability.

Keywords

linear least square fitting / Simplex search method / ozone absorption / mass transfer coefficient

References

[1] GalactionA. I., CascavalD., OniscuC., TurneaM.. Prediction of oxygen mass transfer coefficients in stirred bioreactors for bacteria, yeasts and fungus broths [J]. Biochemical Engineering Journal, 2004, 20(1): 85-94

[2] SunC.-j., ChenJ.-h.. Study on the influence of water temperature on oxygen transfer rate [J]. Research of Environmental Sciences, 1998, 11(4): 13-15

[3] ZhangZ., ChenJ.-y., XieL.-h., FanG.-d., YinX.-j., LiYong.. Nitrogen removal for low-carbon wastewater in reversed A²/O process by regulation technology [J]. Journal of Central South University of Technology, 2009, 16(s1): 304-308

[4] RaoY. F., LuoH. J., WeiC. H., LuoL. F.. Catalytic ozonation of phenol and oxalic acid with copper-loaded activated carbon [J]. Journal of Central South University of Technology, 2010, 17(2): 300-306

[5] ChengJ., YangZ.-r., ChenH.-q., KuoC. H., ZappiE. M.. Modeling of organic pollutant destruction in a stirred-tank reactor by ozonation [J]. Journal of Environmental Sciences, 2001, 13(4): 449-452

[6] TianL.-j., WangL.-p., WangL.-l., ZhouXin.. Flue gas desulfurization enhanced by inorganic salts using double circulation and multi-stage water film tower [J]. Journal of Central South University: Science and Technology, 2011, 42(2): 555-560

[7] LiuJ. Z., WangS. J., QiG. J., ZhaoB., ChenC. H.. Kinetics and mass transfer of carbon dioxide absorption into aqueous ammonia [J]. Energy Procedia, 2011, 4: 525-532

[8] GomezD., NavazaJ. M.. Gas-liquid mass transfer in carbon dioxide-alkanes mixtures [J]. Chemical Engineering Journal, 2005, 114(1/2/3): 131-137

[9] ZhangH., DuanL.-j., ZhangD.-bin.. Absorption kinetics of ozone in water with ultrasonic radiation [J]. Ultrasonics Sonochemistry, 2007, 14(5): 552-556

[10] ChengJ., YangZ.-r., MeiC.-y., ChenH.-qin.. Absorption and self-decomposition of ozone in water [J]. Journal of South China University of Technology, 1997, 25(5): 77-81

[11] KuoC. H.. Mass transfer in ozone absorption [J]. Environmental Progress, 1982, 1(3): 189-195

[12] ChengJ., YangZ.-r., ChenH.-q., KuoC. H., ZappiE. M.. Enhancement factors in ozone absorption based on the surface renewal model and its application [J]. Chinese Journal of Chemical Engineering, 2000, 8(3): 236-240

[13] HimmelblauD. M.Applied Nonlinear programming [M], 1972New YorkMcGraw-Hill

[14] QIU Y Q. Kinetic and mass transfer studies of reactions between dichlorophenols and ozone in liquid-liquid and gas-liquid systems [D]. Mississipi: Mississippi State University, 1999.

[15] SullivanD. E., RothJ. A.. Kinetics of ozone self-decomposition in aqueous solution [J]. AICHE Symposium Series, 1980, 76(97): 142-149