Food and Bioprocess Technology

, Volume 5, Issue 5, pp 1486–1501 | Cite as

Modeling and Optimization of Microwave Osmotic Dehydration of Apple Cylinders Under Continuous-Flow Spray Mode Processing Conditions

Original Paper


The objective of this study was to model and optimize the mass transfer behavior during microwave osmotic dehydration of apple cylinders under continuous-flow spray mode processing conditions. Data needed for the model development and optimization were obtained using a central composite rotatable experimental design involving sucrose concentration (33.3–66.8°B), temperature (33.3–66.8 °C), flow rate (2,120–3,480 ml/min), and contact times (5–55 min); and the response variables were moisture loss, solids gain, and weight loss. Mass transfer kinetics was evaluated based on the empirical Azuara model and the conventional diffusion model. Diffusivities of both moisture loss (Dm) and solids gain (Ds) obtained from the diffusion model were related to sucrose concentration, temperature, and flow rate. Optimization was evaluated using a desirability function model which could be used with several imposed constraints. The optimum conditions obtained depended on the imposed constraints. A set of constraints involving maximizing moisture loss and weight reduction while keeping the solids gain below 3.5% gave the following optimal conditions: a 30-min osmotic treatment at 65°B, 60 °C, and 2,800 ml/min flow rate yielding a moisture loss of 40.9%, weight reduction of 37.7%, with a solids gain of 3.32%.


Microwave Osmotic dehydration Apple cylinder Effective diffusivity Optimization Response surface methodology 



Diffusion coefficient (m2/s)


Diffusion coefficients of water and soluble solids, respectively (m2/s)


Significant dimension such as the radius of a cylinder


Dimensionless mass ratios under transient conditions


Moisture loss equilibrium


Solids gain equilibrium


Moisture loss ratio


Solids gain ratio


Solids gain


Moisture loss


Weight reduction


Sample mass (in kilograms) at time 0


Sample mass (in kilograms) time t


Moisture fractions (kilograms per kilogram wet base) at time 0


Moisture fractions (kilograms per kilogram wet base) time t


Solids fractions (kilograms per kilogram wet base) at time 0


Solids fractions (kilograms per kilogram wet base) at time t


  1. Allali, H., Marchal, L., & Vorobiev, E. (2008). Blanching of strawberries by ohmic heating: effects on the kinetics of mass transfer during osmotic dehydration. Food and Bioprocess Technology. doi:10.1007/s11947-008-0115-5.Google Scholar
  2. Azarpazhooh, E., & Ramaswamy, H. S. (2010a). Microwave-osmotic dehydration of apples under continuous flow medium spray conditions: comparison with other methods. Drying Technology: An International Journal, 28(1), 49–56.CrossRefGoogle Scholar
  3. Azarpazhooh, E., & Ramaswamy, H. S. (2010b). Evaluation of diffusion and Azuara models for mass transfer kinetics during microwave-osmotic dehydration of apples under continuous flow medium-spray conditions. Drying Technology: An International Journal, 28(1), 57–67.CrossRefGoogle Scholar
  4. Azuara, E., Cortes, R., Garcia, H. S., & Bertistain, C. I. (1992). Kinetic model for osmotic dehydration and its relationship with Fick's second law. International Journal of Food Science & Technology, 27(4), 409–418.CrossRefGoogle Scholar
  5. Azuara, E., Beristain, C. I., & Gutierrez, G. F. (1998). A method for continuous kinetic evaluation of osmotic dehydration. Lebensmittel-Wissenschaft und-Technologie, 31(4), 317–321.Google Scholar
  6. Azuara, E., Flores, E., & Beristain, C. (2009). Water diffusion and concentration profiles during osmodehydration and storage of apple tissue. Food and Bioprocess Technology, 2(4), 361–367.CrossRefGoogle Scholar
  7. Corzo, O., & Gomez, E. R. (2004). Optimization of osmotic dehydration of cantaloupe using desired function methodology. Journal of Food Engineering, 64(2), 213–219.CrossRefGoogle Scholar
  8. Corzo, O., Bracho, N., & Alvarez, C. (2008). Water effective diffusion coefficient of mango slices at different maturity stages during air drying. Journal of Food Engineering, 87(4), 479–484.CrossRefGoogle Scholar
  9. Crank, J. (1975). The mathematics of diffusion (2nd ed.). London: Clarendon Press Oxford University.Google Scholar
  10. Eren, I., & Kaymak-Ertekin, F. (2007). Optimization of osmotic dehydration of potato using response surface methodology. Journal of Food Engineering, 79(1), 344–352.CrossRefGoogle Scholar
  11. Fernandes, F. A. N., Gallão, M. I., & Rodrigues, S. (2009). Effect of osmosis and ultrasound on pineapple cell tissue structure during dehydration. Journal of Food Engineering, 90(2), 186–190.CrossRefGoogle Scholar
  12. Floros, J. O. D., & Chinnan, M. A. S. (1988). Seven factor response surface optimization of a double-stage lye (NaOH) peeling process for pimiento peppers. Journal of Food Science, 53(2), 631–638.CrossRefGoogle Scholar
  13. Harrington, E. C. (1965). The desirability function. Industrial Quality Control, 21, 494–498.Google Scholar
  14. Hawkes, J., & Flink, J. M. (1978). Osmotic concentration of fruit slices perior to freeze dehydration. Journal of Food Processing and Preservation, 2(4), 265–284.CrossRefGoogle Scholar
  15. Jokic, A., Gyura, J., Levic, L., & Zavargo, Z. (2007). Osmotic dehydration of sugar beet in combined aqueous solutions of sucrose and sodium chloride. Journal of Food Engineering, 78(1), 47–51.CrossRefGoogle Scholar
  16. Kaymak-Ertekin, F., & Sultanoglu, M. (2000). Modelling of mass transfer during osmotic dehydration of apples. Journal of Food Engineering, 46(4), 243–250.CrossRefGoogle Scholar
  17. Khin, M. M., Zhou, W., & Yeo, S. Y. (2007). Mass transfer in the osmotic dehydration of coated apple cubes by using maltodextrin as the coating material and their textural properties. Journal of Food Engineering, 81(3), 514–522.CrossRefGoogle Scholar
  18. Koocheki, A., & Azarpazhooh, E. (2010). Evaluation of mass exchange during osmotic dehydration of plum using response surface methodology. International Journal of Food Properties, 13(1), 155–166.CrossRefGoogle Scholar
  19. Li, H., & Ramaswamy, H. (2006a). Osmotic dehydration of apple cylinders: II. Continuous medium flow heating conditions. Drying Technology, 24(5), 631–642.CrossRefGoogle Scholar
  20. Li, H., & Ramaswamy, H. S. (2006b). Osmotic dehydration of apple cylinders: III. Continuous medium flow microwave heating conditions. Drying Technology, 24(5), 643–651.CrossRefGoogle Scholar
  21. Magee, T., Hassaballah, A., & Murphy, W. (1983). Internal mass transfer during osmotic dehydration of apple slices in sugar solutions. 7, 147–155.Google Scholar
  22. Myers, R. H., Montgomery, D. C. (2002). Response surface methodology: process and product optimization using designed experiments (2nd ed.). John Wiley and Sons, Inc, Hoboken, New York. USA.Google Scholar
  23. Myers, R. H., Montgomery, D. C., & Anderson-Cook, C. M. (2009). Response surface methodology: process and product optimization using designed experiments. Hoboken: Wiley.Google Scholar
  24. Ochoa-Martinez, C. I., Ramaswamy, H. S., & Ayala-Aponte, A. A. (2007). ANN-based models for moisture diffusivity coefficient and moisture loss at equilibrium in osmotic dehydration process. Drying Technology, 25(5), 775–783.CrossRefGoogle Scholar
  25. Ramaswamy, H. S., & van Nieuwenhuijzen, N. H. (2002). Evaluation and modeling of two-stage osmo-convective drying of apple slices. Drying Technology, 20(3), 651.CrossRefGoogle Scholar
  26. Rodrigues, S., & Fernandes, F. A. N. (2007). Dehydration of melons in a ternary system followed by air-drying. Journal of Food Engineering, 80(2), 678–687.CrossRefGoogle Scholar
  27. Ruiz-López, I., Castillo-Zamudio, R., Salgado-Cervantes, M., Rodríguez-Jimenes, G., & García-Alvarado, M. (2010). Mass transfer modeling during osmotic dehydration of hexahedral pineapple slices in limited volume solutions. Food and Bioprocess Technology. doi:10.1007/s11947-008-0102-x.Google Scholar
  28. Shi, Q. L., Xue, C. H., Zhao, Y., Li, Z. J., Wang, X. Y., & Luan, D. L. (2008). Optimization of processing parameters of horse mackerel (Trachurus japonicus) dried in a heat pump dehumidifier using response surface methodology. Journal of Food Engineering, 87(1), 74–81.CrossRefGoogle Scholar
  29. Singh, B., Panesar, P. S., & Nanda, V. (2008). Optimization of osmotic dehydration process of carrot cubes in sucrose solution. Journal of Food Process Engineering, 31(1), 1–20.CrossRefGoogle Scholar
  30. Trautmann, H., & Weihs, C. (2006). On the distribution of the desirability index using Harrington's desirability function. Metrika, 63(2), 207–213.CrossRefGoogle Scholar

Copyright information

© Springer Science + Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Food Science and Agricultural ChemistryMacdonald Campus, McGill UniversityQuébecCanada

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