Mathematical Modeling of the Oxidation of Polyunsaturated Fatty Acids in Emulsions with Stirring and Limited Oxygen Compensation

Abstract

Abstract: The oxidation of polyunsaturated fatty acids(PUFA)in emulsion with stirring and limited oxygen compensation was studied.A mathematical model of diffusion-oxidation was developed considering the mass transfer resistance of a gasliquid boundary,the resistance of the boundary layer from the emulsifier membrane,and the autocatalytictype autoxidation reaction of PUFA.The dynamic mass transfer coefficient of the emulsifier membrane,k₀,was introduced.The model was verified by comparing the predictions of the model with the experimental data.The results indicated that the model was in good agreement with the oxygen diffusion and linoleic acid oxidation in the emulsion,and showed good applicability in the prediction of the effect of the emulsifier type on the oxidation of PUFA in the emulsion.It indicated that the oxidation of PUFA in emulsions,with stirring and limited oxygen compensation from the atmosphere,was controlled mostly by mass transfer resistance from the emulsifier membrane.

Key words: polyunsaturated fatty acids oxidation, emulsion, mathematical model, limited oxygen compensation

摘要： The oxidation of polyunsaturated fatty acids(PUFA)in emulsion with stirring and limited oxygen compensation was studied.A mathematical model of diffusion-oxidation was developed considering the mass transfer resistance of a gasliquid boundary,the resistance of the boundary layer from the emulsifier membrane,and the autocatalytictype autoxidation reaction of PUFA.The dynamic mass transfer coefficient of the emulsifier membrane,k₀,was introduced.The model was verified by comparing the predictions of the model with the experimental data.The results indicated that the model was in good agreement with the oxygen diffusion and linoleic acid oxidation in the emulsion,and showed good applicability in the prediction of the effect of the emulsifier type on the oxidation of PUFA in the emulsion.It indicated that the oxidation of PUFA in emulsions,with stirring and limited oxygen compensation from the atmosphere,was controlled mostly by mass transfer resistance from the emulsifier membrane.

关键词: polyunsaturated fatty acids oxidation, emulsion, mathematical model, limited oxygen compensation

LÜ Bing, CHEN Jie, XIA Wenshui. Mathematical Modeling of the Oxidation of Polyunsaturated Fatty Acids in Emulsions with Stirring and Limited Oxygen Compensation[J]. , 2008, 16(2): 218-222.

吕兵, 陈洁, 夏文水. Mathematical Modeling of the Oxidation of Polyunsaturated Fatty Acids in Emulsions with Stirring and Limited Oxygen Compensation[J]. , 2008, 16(2): 218-222.

References

1 Coupland, J.N., McClements, D.J., “Lipid oxidation in food emulsions”, Trends Food Sci. Technol. March., 7, 83-91(1996).
2 Özilgen, S., Özilgen, M., “Kinetic model of lipid oxidation in foods”, J. Food Sci., 55, 498-501(1990).
3 Adachi, S., Ishiguro, T., Matsuno, R., “Autoxidation kinetics for fatty acids and their esters”, J. Am. Oil Chem. Soc., 72 (5), 547-551 (1995).
4 Adachi, S., Ishiguro, T., Matsuno, R., “Thermal analysis of autoxidation of ethyl esters of n-3 and n-6 fatty acids”, Food Sci. Technol. International, 1 (1), 1-4 (1995).
5 Miyashita, K., Nara, E., Ota, T., “Oxidation stability of polyunsaturated fatty acids in aqueous solution”, Biosci.Biotech.Biochem., 57, 1638-1640 (1993).
6 Kobayashi, H., Yoshida, M., Miyashita, K., “Comparative study of the product components of lipid oxidation in aqueous and organic systems”, Chem. Phys. Lipids, 126, 111-120 (2003).
7 McClements, D.J., Decker, E.A., “Lipid oxidation in oil-in-water emulsions: Impact of molecular environment on chemical reactions in heterogeneous food systems”, J. Food Sci., 65, 1270-1282 (2000).
8 Mancuso, J.R., McClements, D.J., Decker, E.A., “The effects of surfactant type, pH, and chelators on the oxidation of salmon oil-in-water emulsions”, J. Ag. Food Chem., 47, 4112-4116 (1999).
9 Lydia, B.F., Milena, C., Casimir, C.A., “Effect of emulsifier on oxidation properties of fish oil-based structured lipid emulsions”, J. Ag. Food Chem., 50, 2957-2961 (2002).
10 Osborn, H.T., Akoh, C.C., “Effect of emulsifier type, droplet size, and oil concentration on lipid oxidation in structured lipid-based oil-in-water emulsions”, Food Chemistry, 84, 451456 (2004).
11 Lü, B., Xia, W.S., Chen, J., “Model for the oxidation of PUFA in emulsion without oxygen compensation from atmosphere”, Chem. React. Eng. Technol., 22 (2), 21-26(2006).
12 Lü, B., Chen, J., Xia, W.S., “Mathematical model for the oxidation of poly-unsaturated fatty acids in emulsion with oxygen compensation”, Chem. Eng., 35 (2), 39-42 (2007).
13 Qi ,Y.Z., Wang, S.X., Biochemical Reaction Kinetics and Reactor, 2nd ed., Chemical Industry Press, Beijing (1999).
14 Tang, B., Wang, X.D., Wan, Y.H., Zhu, B., Zhang, X.J., “Mathematical model for the mass transfer mechanism of diffusion-reaction double controlled process in emulsion liquid membrane”, Technol. Water Treat., 25 (3), 137-143 (1999).
15 Yoshii, H., Furuta, T., Itoh, T., Yoshimura, K., “Kinetic analysis of the autoxidation of ethyl eicosapentaenoate at different oxygen levels”, Biosci. Biotechol. Biochem., 63 (4), 662-665 (1999).
16 Jia, S.Y., Chai, C.J., Chemical Engineering Mass Transfer and Separate Process, Chemical Industry Press, Beijing (2001).
17 Mulder, M.H.V., Franken, T., Smolders, C.A., “Preferential sorption versus preferential permeability in pervaporation”, J. Membr. Sci., 22, 155-173 (1985).
18 Li, D., Jiang, Z.Y., Wang, Y.Q., “Mass transfer theories and models for pervaporation (III) Models for membrane diffusion”, Membr. Sci. Technol., 23 (6), 33-37 (2003).
19 Chen, F.R., Chen, H.F., “A diffusion model of the pervaporation separation of ethylene glycol water mixtures through crosslinked poly (vinyl alcohol) membrane”, J. Membr. Sci., 139, 201-209 (1998).
20 Cai, W.F., Zhang, D., Xu, C.J., Zhou, M., “A three-dimensional heterogeneous mass transfer model for the absorption of gas into multiphase system”, Chin. J. Chem. Eng., 13 (6), 717-725(2005).
21 Luo, H.A., Hu, R.R., Liu, P.L., “Eddy model for gas-liquid mass transfer coefficients at free interface”, J. Chem. Ind. Eng., 53, 1164-1168 (2002).
22 Ma, Y.G., Feng, H.S., Xu, S.C., Yu, G.C., “The mechanism of interfacial mass transfer in gas absorption process”, Chin. J. Chem. Eng., 11(2), 227-230 (2003).
23 Song, Z.J., Xu, L.M., Application of MATLAB 6.5 in Science Calculation, Tsinghua University Press, Beijing (2005).

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