Modelling of dissolved oxygen concentration during storage of packaged liquid doods

Abstract A mathematical model that combines oxygen uptake from the outside environment with oxygen consumption by oxidative reactions, in a liquid packed food during storage, was developed. The model was applied to orange juice aseptically packaged in Tetra Brik Aseptic cartons, during storage of up to 5 months at 4, 8, 20, 30, 40 and 50 °C. The parameters of the model, the oxygen mass transfer coefficient and the rate constant of consumption reactions, were estimated by fitting the model to the experimental data. The value of the rate constant estimated for the system tested in this work, was three orders of magnitude greater than the value of the oxygen mass transfer coefficient. The influence of temperature on the reaction rate was well described by an Arrhenius type equation, with an activation energy of 46 kJ mole . This model was further tested with data reported in literature and it was found that it adequately describes the dissolved oxygen concentration changes during storage.

[1]  J. Bailey,et al.  Diffusion Properties of Salt and Acetic Acid into Herring and Their Subsequent Effect on the Muscle Tissue , 1984 .

[2]  I. Saguy,et al.  Browning determination in citrus products , 1977 .

[3]  T. Labuza,et al.  Accelerated shelf-life testing for oxidative rancidity in foods—A review , 1977 .

[4]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[5]  B. Harte,et al.  Modelling of oxygen diffusion through a model permeable package and simultaneous degradation of vitamin C in apple juice , 1993 .

[6]  J. Kennedy,et al.  Possible additives for extension of shelf-life of single-strength reconstituted citrus juice aseptically packaged in laminated cartons , 1994 .

[7]  R. Singh,et al.  KINETICS OF OXYGEN UPTAKE IN LIQUID FOODS , 1976 .

[8]  J. Marcy,et al.  Aseptically packaged orange juice and concentrate: a review of the influence of processing and packaging conditions on quality , 1986 .

[9]  R. Singh,et al.  KINETICS OF QUALITY DEGRADATION: ASCORBIC ACID OXIDATION IN INFANT FORMULA DURING STORAGE , 1976 .

[10]  M. Karel,et al.  COMPUTER SIMULATION OF STORAGE LIFE OF FOODS UNDERGOING SPOILAGE BY TWO INTERACTING MECHANISMS , 1972 .

[11]  W. Rand,et al.  DEVELOPMENT OF A MATHEMATICAL MODEL FOR OXIDATION OF POTATO CHIPS AS A FUNCTION OF OXYGEN PRESSURE, EXTENT OF OXIDATION AND EQUILIBRIUM RELATIVE HUMIDITY , 1972 .

[12]  R. L. Garrote,et al.  Effect of Freezing on Diffusion of Ascorbic Acid during Water Heating of Potato Tissue , 1988 .