Experimental Study and Modelling of the Sublimation and Desorption Periods for Freeze Drying of Apple, Banana and Strawberry

Vıctor A. Reale ,
Vıctor A. Reale

Universidad Nacional de La Plata

R. Martin Irigoyen Orcid logo ,
R. Martin Irigoyen
Contact R. Martin Irigoyen

Universidad Nacional de La Plata

Sergio A. Giner
Sergio A. Giner

Universidad Nacional de La Plata; Comisi´on de Investigaciones Cient´ıficas de la Provincia de Buenos Aires

Published: 18.04.2023.

Volume 12, Issue 1 (2023)

pp. 95-111;

https://doi.org/10.7455/ijfs/12.1.2023.a7

Abstract

Slices of fresh apple, banana and strawberry were frozen at -20 oC and freeze-dried using a shelf temperature of 40 oC. Theoretical expressions were proposed to predict vapor transfer kinetics during the primary and secondary drying stages. In the former, a model that predicts the sublimation rate as a function of time, considering the increasing dried layer thickness, was used, which improves greatly the sublimation time equation offered in several textbooks without adding much complexity. In the latter, an analytical solution of the unsteady state diffusion equation was applied. Permeabilities were determined for the primary drying model at an absolute pressure of about 30 Pa, though the relevant kinetic coefficient combines permeability and the mass of ice to sublime relative to the dry matter (sublimation kinetic coefficient). In the secondary drying stage, diffusion coefficients of vapor in the dried layer were in the order of 10−09 m2s−1 for pressures of about 3-5 Pa. In both periods, agreement of predicted and experimental values was more than satisfactory. A minimum freeze-drying time of 12, 6.8 and 8.7 h, considering a final moisture content of 4% w/w, was calculated for apple, banana and strawberry, respectively. Normalized drying curves showed a faster sublimation rate for banana, intermediate for strawberry and slowest for apple. On the other hand, desorption curves showed a faster desorption rate for apple, intermediate for banana and slower for strawberry. In each period, the ordering of the relevant kinetic coefficients (sublimation and diffusion coefficients, respectively) represented the ordering of experimental curves.

Keywords

References

1.
Khalloufi S, Ratti C. Quality deterioration of freeze-dried foods as explained by their glass transition temperature and internal structure. Journal of Food Science. 2003;(3):892–903.
2.
Wang HY, Zhang SZ, Yu XY, Chen GM. Water vapor diffusion coefficient of freeze-dried banana slices. Food Science. 2013;66–70.
3.
Shishehgarha F, Makhlouf J, Ratti C. mathematical modeling for freeze-drying of fruits 111 strawberries. Drying Technology. 2002;(1):131–45.
4.
Saravacos G. Effect of the drying method on the water sorption of dehydrated apple and potato. Journal of Food Science. 1967;(1):81–4.
5.
Sandall O, King C, Wilke C. The relationship between transport properties and rates of freezedrying of poultry meat. AIChE Journal. 1967;(3):428–38.
6.
Saha B, Bucknall M, Arcot J, Driscoll R. Derivation of two layer drying model with shrinkage and analysis of volatile depletion during drying of banana. Journal of Food Engineering. 2018;42–52.
7.
Sadikoglu H, Liapis A. Mathematical modelling of the primary and secondary drying stages of bulk solution freeze-drying in trays: Parameter estimation and model discrimination by comparison of theoretical results with experimental data. Drying Technology. 1997;(3–4):791–810.
8.
Handbook of food process design. :621–47.
9.
Ratti C. Freeze-drying process design. 2012;
10.
Ratti C. Diseño de secaderos de productos frutihortícolas. 1991;
11.
Quast D, Karel M. Dry layer permeability and freeze-drying rates in concentrated fluid systems. Journal of Food Science. 1968;(2):170–5.
12.
Nakagawa K, Ochiai T. A mathematical model of multi-dimensional freezedrying for food products. Journal of Food Engineering. 2015;55–67.
13.
Mosquera L, Moraga G, Martínez-Navarrete N. Critical water activity and critical water content of freeze-dried strawberry powder as affected by maltodextrin and Arabic gum. Food Research International. 2012;(2):201–6.
14.
Moraga G, Talens P, Moraga M, Martínez-Navarrete N. Implication of water activity and glass transition on the mechanical and optical properties of freeze-dried apple and banana slices. Journal of Food Engineering. 2011;(3):212–9.
15.
Alfat S, Purqon A. Heat and mass transfer model in freeze-dried medium. Journal of Physics: Conference Series. 2017;12061.
16.
Dekker M.
17.
Karel M, Lund D. Physical principles of food preservation. 2003;(2).
18.
Hua TC, Liu BL, Zhang H. Freeze-drying of pharmaceutical and food products. 2010;
19.
Hill J. Sublimation dehydration in the continuum, transition, and freemolecule flow regimes. 1967;
20.
Hammami C, René F. Determination of freeze-drying process variables for strawberries. Journal of Food Engineering. 1997;(2):23.
21.
George J, Datta A. Development and validation of heat and mass transfer models for freeze-drying of vegetable slices. Journal of Food Engineering. 2002;(1):91–7.
22.
García-Amezquita L, Welti-Chanes J, Vergara-Balderas F, Bermúdez-Aguirre D. Encyclopedia food and health. 2016;104–9.
23.
Fikiin K. Ice content prediction methods during food freezing: A survey of the Eastern European literature. Journal of Food Engineering. 1998;(3):120–4.
24.
El-Maghlany W, Bedir A, .-R, Elhelw M, Attia A. Freeze-drying modeling via multi-phase porous media transport model. International Journal of Thermal Sciences. 2019;1.
25.
Crank J. The mathematics of diffusion. 1975;
26.
Choi Y, Okos M. Food engineering and process applications. 1986;93–101.
27.
Official methods of analysis of AOAC International. 2016;

Citation

Copyright

Article metrics

Google scholar: See link

The statements, opinions and data contained in the journal are solely those of the individual authors and contributors and not of the publisher and the editor(s). We stay neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Most read articles

Indexed by