Abstract
Drying kinetics, modeling, temperature profile and energy indices were investigated in apple slices during drying by a specially designed microwave-hot air domestic hybrid oven at the following conditions: 120, 150 and 180 W microwave powers coupled with 50, 60 and 70 °C air temperatures. Both sources of energy were applied simultaneously during the whole drying processes. The drying process continued until the moisture content of apple slices reached to 20% from 86.3% (wet basis, w.b). Drying times ranged from 330 to 800 min and decreased with increasing microwave power and air temperatures. The constant rate period was only observed at low microwave powers and air temperatures. Two falling rate periods were observed. Temperature of apple slices sharply increased within the first 60 min, then reached equilibrium with drying medium and finally increased at the end of the drying process. In order to describe drying behavior of apple slices nine empirical models were applied. The Modified Logistic Model fitted the best our experimental data (R 2 = 0.9955–0.9998; χ 2 = 3.46 × 10−5-7.85 × 10−4 and RMSE = 0.0052–0.0221). The effective moisture and thermal diffusivities were calculated by Fick’s second law and ranged from 1.42 × 10−9 to 3.31 × 10−9 m2/s and 7.70 × 10−9 to 12.54 × 10−9 m2/s, respectively. The activation energy (Ea) values were calculated from effective moisture diffusivity (Deff), thermal diffusivity (α) and the rate constant of the best model (k). The Ea values found from these three terms were similar and varied from 13.04 to 33.52 kJ/mol. Energy consumption and specific energy requirement of the hybrid drying of apple slices decreased and energy efficiency of the drying system increased with increasing microwave power and air temperature. Apples can be dried rapidly and effectively by use of the hybrid technique.
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Abbreviations
- a, b, c, g, l, n :
-
Equation constants
- α :
-
Thermal diffusivity (m2/s)
- α 0 :
-
Pre-exponential constant of Arrhenius equation (m2/s)
- AOAC:
-
Association of Official Analytical Chemists
- DR:
-
Drying rate (g water / (g dry matter.min)
- D eff :
-
Effective moisture diffusivity (m2/s)
- D 0 :
-
Pre-exponential constant of Arrhenius equation (m2/s)
- E a :
-
Activation energy (kJ/mol)
- E kg,0 :
-
Specific energy requirement for drying of 1 kg of fresh sample (kWh/kg fw)
- E kg,w :
-
Specific energy requirement for evaporating of 1 kg of water (kWh/kg water)
- E t :
-
Energy consumption (kWh)
- fw:
-
Fresh weight
- k :
-
Drying rate constant of model (1/min)
- k 0 :
-
Pre-exponential constant of Arrhenius equation (1/min)
- k DR :
-
Drying rate constant obtained from falling rate (1/min)
- L:
-
Half thickness of sample (m)
- λ w :
-
The latent heat of vaporization of water (kJ/kg)
- M 0 :
-
Initial moisture content (g water / g dry matter)
- M e :
-
Final moisture content (g water / g dry matter)
- M t :
-
Moisture content at any time (g water / g dry matter)
- MR:
-
Moisture ratio
- MR exp,i :
-
Experimental moisture ratio
- MR pre,i :
-
Predicted moisture ratio
- N:
-
Number of experimental data
- η en :
-
Energy efficiency (%)
- R:
-
Universal gas constant (kJ/mol.K)
- R 2 :
-
Correlation coefficient
- RMSE :
-
Root mean square error
- t :
-
Drying time (min)
- T :
-
Temperature of slab at any time (°C)
- T:
-
Absolute temperature (K)
- T 0 :
-
Initial temperature of slab (°C)
- T s :
-
Temperature of drying chamber (°C)
- TR:
-
Dimensionless temperature ratio
- χ2 :
-
Reduced chi-square
- w.b:
-
Wet basis
- W o :
-
Initial weight of fresh sample (kg)
- W o :
-
Weight of evaporated water (kg)
- z:
-
Number of parameters in the model
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Acknowledgements
Ministry of Science, Industry and Technology of Republic of Turkey and Arçelik A.Ş.s are acknowledged for the support of the study. E. Horuz also acknowledges TUBITAK-BIDEB (The scientific and Technological Research Council of Turkey) for the national PhD study scholarship.
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Horuz, E., Bozkurt, H., Karataş, H. et al. Simultaneous application of microwave energy and hot air to whole drying process of apple slices: drying kinetics, modeling, temperature profile and energy aspect. Heat Mass Transfer 54, 425–436 (2018). https://doi.org/10.1007/s00231-017-2152-y
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DOI: https://doi.org/10.1007/s00231-017-2152-y