# Abstract

The effect of microwave power, sample thickness, and diameter on drying kinetics, effective moisture diffusivity, and activation energy of apple cylinders for microwave drying were investigated. Also, the effect of the microwave power on the quality of the dried apples was studied by measuring the surface color change and scanning the surface structure. The same mass of fresh apples was dried at different power levels. Two diameters and three thicknesses were studied. Aghbashlo model showed the best fitting for the drying kinetics of apple. The drying time was reduced by increasing the power and the diameter, but the thickness had no clear effect. The effective diffusivity values ranged between 1.47 × 10-7 and 24.4 × 10-7 m2/s. The effective diffusivity increased by increasing the three studied parameters. The parameters' effects on the drying time and the diffusivity were studied using a full factorial experimental design. The power and the diameter had the highest effect on the drying time. However, the thickness had the highest effect on the effective diffusivity.

Keywords:
microwave drying; kinetics; color change; SEM; design of experience

# 1 Introduction

Drying is one of the oldest techniques to extend the shelf life of foods. It involves a simultaneous transfer of mass and heat; to reduce the moisture of products. Consequently, a decrease in free water available for weathering reactions; to keep a water activity (aw) below the minimum activity of microorganism development (i.e. aw < 0.7). Often it is necessary to go to lower values of aw in order to inhibit chemical and enzymatic reactions of alteration (lipid oxidation, Maillard reactions, etc.) (Labuza et al., 1972Labuza, T. P., Mcnally, L., Gallagher, D., Hawkes, J., & Hurtado, F. (1972). Stability of intermediate moisture foods. 1. Lipid oxidation. Journal of Food Science, 37(1), 154-159. http://dx.doi.org/10.1111/j.1365-2621.1972.tb03408.x.
http://dx.doi.org/10.1111/j.1365-2621.19...
). Optimization of the drying operation must meet two essential criteria, which are the energy cost and the preservation of the biological quality of the final product (color, taste, aroma, smell, texture, nutritional quality, techno-functional properties, etc.). Convective drying generally affects the quality of the product by thermal degradation of specific compounds due to high temperatures and prolonged drying times (Balti et al., 2018Balti, M. A., Hadrich, B., Kriaa, K., & Kechaou, N. (2018). Lab-scale extraction of essential oils from Tunisian lemongrass (Cymbopogon flexuosus). Chemical Engineering and Processing: Process Intensification, 124, 164-173. http://dx.doi.org/10.1016/j.cep.2017.12.012.
http://dx.doi.org/10.1016/j.cep.2017.12....
). To overcome these problems, the food industry has been interested in microwave drying. One of the most important characteristics of the use of microwaves is the volume heating effect; the energy is more absorbed in the wet region than in the dry region of the product (Khraisheh et al., 1997Khraisheh, M. A. M., Cooper, T. J. R., & Magee, T. R. A. (1997). Microwave and air drying I. Fundamental considerations and assumptions for the simplified thermal calculations of volumetric power absorption. Journal of Food Engineering, 33(1–2), 207-219. http://dx.doi.org/10.1016/S0260-8774(97)00050-2.
http://dx.doi.org/10.1016/S0260-8774(97)...
).

Microwave drying reduces drying time and energy cost with an improvement in the final quality of the dried product (color, aroma, and texture). In addition, the final product is more homogeneous and evenly dried (Polat et al., 2019Polat, A., Taskin, O., Izli, N., & Asik, B. B. (2019). Continuous and intermittent microwave-vacuum drying of apple: drying kinetics, protein, mineral content, and color. Journal of Food Process Engineering, 42(3), 1-7. http://dx.doi.org/10.1111/jfpe.13012.
http://dx.doi.org/10.1111/jfpe.13012...
). On the other hand, the microwave drying has some disadvantages; mainly due to the overheating of the product at a high power. Overheating can alter the texture associated with physical damage such as carbonizing and blackening of the product by Maillard reaction or the appearance of an unpleasant odor in the dried product (Beaudry et al., 2003Beaudry, C., Raghavan, G. S. V., & Rennie, T. J. (2003). Microwave finish drying of osmotically dehydrated cranberries. Drying Technology, 21(9), 1797-1810. http://dx.doi.org/10.1081/DRT-120025509.
http://dx.doi.org/10.1081/DRT-120025509...
).

Experimental studies on the drying of the food products were extensively studied in literature in order to understand the different phenomena affecting the kinetics to optimize the operation for the best product quality with the least energy consumption (Sanga et al., 2000Sanga, E., Mujumdar, A. S., & Raghavan, G. S. V. (2000). Principles and applications of microwave drying. In A. S. Mujumdar (Ed.), Drying technology in agriculture and food sciences (pp. 253-289). Enfield, USA: Science Publishers.) and (Orsat et al., 2006Orsat, V., Changrue, V., & Raghavan, V. G. S. (2006). Microwave drying of fruits and vegetables. Stewart Postharvest Review, 2(6), 1-7. http://dx.doi.org/10.2212/spr.2006.6.4.
http://dx.doi.org/10.2212/spr.2006.6.4...
). Several mathematical models have been proposed to describe the drying kinetics (Ertekin & Firat, 2017Ertekin, C., & Firat, M. Z. (2017). A comprehensive review of thin-layer drying models used in agricultural products. Critical Reviews in Food Science and Nutrition, 57(4), 701-717. http://dx.doi.org/10.1080/10408398.2014.910493. PMid:25751069.
http://dx.doi.org/10.1080/10408398.2014....
).

Many experimental works have been published to study the drying kinetics of apples using different drying methods and their effect on the quality of the dried apples. Ben Mabrouk et al. (2012)Ben Mabrouk, S., Benali, E., & Oueslati, H. (2012). Experimental study and numerical modelling of drying characteristics of apple slices. Food and Bioproducts Processing, 90(4), 719-728. http://dx.doi.org/10.1016/j.fbp.2012.02.001.
http://dx.doi.org/10.1016/j.fbp.2012.02....
tested the effect of air temperature and velocity during convective drying on the characteristics of apple slices. Cuccurullo et al. (2018)Cuccurullo, G., Giordano, L., Metallo, A., & Cinquanta, L. (2018). Drying rate control in microwave assisted processing of sliced apples. Biosystems Engineering, 170, 24-30. http://dx.doi.org/10.1016/j.biosystemseng.2018.03.010.
http://dx.doi.org/10.1016/j.biosystemsen...
studied the effect of controlling the temperature during microwave drying on the quality of sliced apples. Djekic et al. (2018)Djekic, I., Tomic, N., Bourdoux, S., Spilimbergo, S., Smigic, N., Udovicki, B., Hofland, G., Devlieghere, F., & Rajkovic, A. (2018). Comparison of three types of drying (supercritical CO2, air and freeze) on the quality of dried apple – quality index approach. Lebensmittel-Wissenschaft + Technologie, 94, 64-72. http://dx.doi.org/10.1016/j.lwt.2018.04.029.
http://dx.doi.org/10.1016/j.lwt.2018.04....
compared the effects of drying apples using three technologies (supercritical CO2 drying, air drying and freeze drying) on the quality of dried apples. Ando et al. (2019)Ando, Y., Hagiwara, S., Nabetani, H., Sotome, I., Okunishi, T., Okadome, H., Orikasa, T., & Tagawa, A. (2019). Effects of prefreezing on the drying characteristics, structural formation and mechanical properties of microwave-vacuum dried apple. Journal of Food Engineering, 244, 170-177. http://dx.doi.org/10.1016/j.jfoodeng.2018.09.026.
http://dx.doi.org/10.1016/j.jfoodeng.201...
evaluated the effects of prefreezing on the drying rate and the properties of apple dried by vacuum microwave. Polat et al. (2019)Polat, A., Taskin, O., Izli, N., & Asik, B. B. (2019). Continuous and intermittent microwave-vacuum drying of apple: drying kinetics, protein, mineral content, and color. Journal of Food Process Engineering, 42(3), 1-7. http://dx.doi.org/10.1111/jfpe.13012.
http://dx.doi.org/10.1111/jfpe.13012...
investigated the effect of microwave-vacuum drying on drying characteristics, protein, mineral content, and color of dried apples. However, it is seen that there is scarcity in studying the effect of variation of volume per unit mass of the apple samples on the microwave drying parameters. Also, few researchers investigated the effect of the microwave power on the surface color and structure of the dried apple samples.

The purpose of this research is to investigate the effect of thickness and diameter of apple cylinders of the same mass on the drying kinetics of Gala apple at three microwave power levels. Kinetic data were fitted to eight drying models reported in the literature. The effective moisture diffusivity and the activation energy were evaluated as well. An experimental design was applied to test the effect of the three studied parameters (the microwave power, the diameter and the thickness of the samples) on the drying time and diffusivity. Finally, the effect of the microwave power on the surface quality of the dried apples was studied by measuring the color change and investigating the structure of the dried apples using a scanning electron microscope (SEM).

# 2 Materials and methods

## 2.1 Sample preparation

Cylindrical samples of fresh Gala apple from the species (Malus pumila) were prepared. In order to study the effect of the size on the microwave drying kinetics, two diameters: 10.5 ± 0.2 and 17.5 ± 0.3, and three thicknesses: 3.3 ± 0.2, 4.5 ± 0.2 and 6.0 ± 0.2 mm were prepared.

## 2.2 Experimental setup and methods of drying

Samples of about 23 g of apple were dried in a microwave oven (Microwave Research & Applications BP-090/50), operating at a constant frequency of 2.45 GHz and variable power (360, 500, and 775Watt). The adjustment of microwave power was made by a digital control unit built in the microwave oven.

The initial moisture content of apples (88.43 ± 0.89%) was determined by oven drying method (Association of Official Agricultural Chemists, 2010Association of Official Agricultural Chemists – AOAC. (2010). Official methods of analysis of the Association of Official Analytical Chemists (18th ed.). Arlington: AOAC.) using ELE international oven (SDO/225/DIG) at 105 °C for 24 hours until the mass did not change significantly between two weighing successions. The drying kinetics were determined by continuous measurement of mass using a 10-2 g electronic precision balance (OHAUS AT400) versus time.

The apple cylinders were arranged over a rectangular polytetrafluoroethylene (PTFE) plate, which was suspended inside the microwave via nylon wires connected to the balance. The mass of the sample was recorded manually every one minute. Figure 1 shows a schematic presentation of the drying experiment.

Figure 1
Schematic diagram of the microwave drying setup.

All drying curves are presented as Moisture Ratio (MR) as a function of drying time. The MR is calculated from Equation 1:

$M R = M − M e M 0 − M e$ (1)

where M: the moisture content at any time, M0: the initial moisture content, and Me: moisture content at the equilibrium.

However, according to Dissa et al. (2011)Dissa, A. O., Bathiebo, D. J., Desmorieux, H., Coulibaly, O., & Koulidiati, J. (2011). Experimental characterisation and modelling of thin layer direct solar drying of amelie and brooks mangoes. Energy, 36(5), 2517-2527. http://dx.doi.org/10.1016/j.energy.2011.01.044.
http://dx.doi.org/10.1016/j.energy.2011....
, Sallam et al. (2015)Sallam, Y. I., Aly, M. H., Nassar, A. F., & Mohamed, E. A. (2015). Solar drying of whole mint plant under natural and forced convection. Journal of Advanced Research, 6(2), 171-178. http://dx.doi.org/10.1016/j.jare.2013.12.001. PMid:25750751.
http://dx.doi.org/10.1016/j.jare.2013.12...
, and others, Me is relatively small compared to M0 and M; thus, it could be neglected. Therefore, Equation 2 was used to calculate the MR:

$M R = M M 0$ (2)

The drying rate is presented as a function of reduced moisture content using Equation 3:

$d M d t r = M t + Δ t − M t d t$ (3)

where Mtt is the moisture content at time tt, and Mt is the moisture content at time t.

## 2.3 Determination of drying time using an experimental design

An experimental design was used to test the effect of the three factors studied and their interactions on microwave drying. Table 1 shows the different levels for each factor used in this work.

Table 1
Coded values for factor’s levels.

The drying time of samples until MR = 0.07 on a wet basis and the effective diffusivity were chosen as experimental responses for this study. They were modeled using Equation 4:

$Response = β 0 + ∑ i = 1 n β i ⋅ X i + ∑ i = 1 n ∑ j = 1 n β i j ⋅ X i ⋅ X j + ε$ (4)

where b0 is the constant term, bi and bij are the regression coefficients, ε is the error between calculated and experimental data, Xi and Xj are the factors, and n is factors number.

A reduced regression model, showing only the significant variables, was determined after testing coefficients by the analysis of variance test (ANOVA) at 95% significance level (p < 0.05). The design and all analysis of the full factorial design were performed with Statistica12.

## 2.4 Mathematical models

As stated by Fortes & Okos (1981)Fortes, M., & Okos, M. R. (1981). Heat and mass transfer in hygroscopic capillary extruded products. AIChE Journal. American Institute of Chemical Engineers, 27(2), 255-262. http://dx.doi.org/10.1002/aic.690270212.
http://dx.doi.org/10.1002/aic.690270212...
, thin-layer drying modeling of agricultural products assumes that (1) the resistance to the transfer of matter is uniformly distributed in the homogeneous isotropic material, (2) the effective diffusivity coefficient, Deff, is independent of the local moisture content, and (3) the variation of the volume is negligible. Then, the second law of Fick can be written as in Equation 5:

$∂ M ∂ t = D e f f ∇ 2 M$ (5)

Eight semi-theoretical and numerical models mostly deduced from the second law of Fick’s law were evaluated to fit the experimental work. These models - listed in Table 2 - were used in studies of drying kinetics using microwave by several researchers (Özbek & Dadali, 2007Özbek, B., & Dadali, G. (2007). Thin-Layer Drying Characteristics and Modelling of Mint Leaves Undergoing Microwave Treatment. Journal of Food Engineering, 83(4), 541-549. http://dx.doi.org/10.1016/j.jfoodeng.2007.04.004.
http://dx.doi.org/10.1016/j.jfoodeng.200...
; Darvishi et al., 2014Darvishi, H., Asl, A. R., Asghari, A., Azadbakht, M., Najafi, G., & Khodaei, J. (2014). Study of the Drying Kinetics of Pepper. Journal of the Saudi Society of Agricultural Sciences, 13(2), 130-138. http://dx.doi.org/10.1016/j.jssas.2013.03.002.
http://dx.doi.org/10.1016/j.jssas.2013.0...
; Zarein et al., 2015Zarein, M., Samadi, S. H., & Ghobadian, B. (2015). Investigation of microwave dryer effect on energy efficiency during drying of apple slices. Journal of the Saudi Society of Agricultural Sciences, 14(1), 41-47. http://dx.doi.org/10.1016/j.jssas.2013.06.002.
http://dx.doi.org/10.1016/j.jssas.2013.0...
; Ashtiani et al., 2018Ashtiani, S.-H. M., Sturm, B., & Nasirahmadi, A. (2018). Effects of hot-air and hybrid hot air-microwave drying on drying kinetics and textural quality of nectarine slices. Heat and Mass Transfer, 54(4), 915-927. http://dx.doi.org/10.1007/s00231-017-2187-0.
http://dx.doi.org/10.1007/s00231-017-218...
; Sin Ying et al., 2018Sin Ying, H., Anuar, M. S., & Mohd Nor, M. Z. (2018). Drying, colour and sensory characteristics of ‘Berangan’ banana (Musa Accuminata) flesh dried using a microwave oven. Malaysian Journal of Halal Research, 1(1), 10-14. http://dx.doi.org/10.26480/mjhr.01.2018.10.14.
http://dx.doi.org/10.26480/mjhr.01.2018....
), and (Polat et al., 2019Polat, A., Taskin, O., Izli, N., & Asik, B. B. (2019). Continuous and intermittent microwave-vacuum drying of apple: drying kinetics, protein, mineral content, and color. Journal of Food Process Engineering, 42(3), 1-7. http://dx.doi.org/10.1111/jfpe.13012.
http://dx.doi.org/10.1111/jfpe.13012...
).

Table 2
Models used to describe the drying kinetics.

## 2.5 Statistical tests of fitting quality

Experimental kinetics data were used to fit the studied models using nonlinear least-squares regression method. Regression was carried out using Matlab, R2018a (The MathWorks, Inc.). The coefficient of determination (R2), the adjusted R2 (R2(adj)) and the root mean square error (RMSE) show the fitting quality of models as described by Equations 6-8:

$R 2 = 1 − ∑ i = 1 n Y i − Y ^ i 2 ∑ i = 1 n Y i − Y ¯ i 2$ (6)
$R 2 adj = 1 − R 2 ⋅ d f 1 d f 2$ (7)
$R M S E = ∑ i = 1 n Y i − Y ^ i 2 n$ (8)

where $Yi$ is experimental value, $Y^i$ is calculated value by using regression model, $Y¯i$ is arithmetic average of experimental value, n is the number of experimental points, and df1 and df2 are respective degrees of freedom of the error sum of the squares and the total sums of the squares of the regression model.

All models coefficients were calculated with 95% confidence limits (i.e. p < 0.05).

## 2.6 Calculation of effective diffusivity

The solution of Fick’s second law (Equation 4) for an infinite slab has been reported by several researchers with the following assumptions: (1) internal moisture migrates by diffusion; (2) negligible shrinkage; and (3) negligible external and internal heat transfer effects (Crank, 1975Crank, J. (1975). The mathematics of diffusion (2nd ed.). Oxford: Clarendon Press.). The solution is presented in Equation 9:

$M R = 8 π 2 ∑ n = 1 ∞ 1 2 n − 1 2 exp − 2 n − 1 2 π 2 D e f f t 4 L 2$ (9)

where Deff is the effective moisture diffusivity, t is time, L is the thickness of the slab, and n is the positive integer.

For long drying times, Equation 9 can be simplified by taking the first term of the series to obtain Equation 10, which was used to evaluate the effective diffusivity for each experiment.

$M R = 8 π 2 exp − π 2 D e f f t 4 L 2$ (10)

## 2.7 Calculation of activation energy

Since the drying temperature was not measured in this study, the modified Arrhenius equation (Equation 11) derived by Özbek & Dadali (2007)Özbek, B., & Dadali, G. (2007). Thin-Layer Drying Characteristics and Modelling of Mint Leaves Undergoing Microwave Treatment. Journal of Food Engineering, 83(4), 541-549. http://dx.doi.org/10.1016/j.jfoodeng.2007.04.004.
http://dx.doi.org/10.1016/j.jfoodeng.200...
was used to demonstrate the relationship between the effective diffusivity and the ratio of the microwave power to sample mass. This equation was used to calculate the activation energy and the pre-exponential factor.

$D e f f = D 0 e x p − E a ⋅ m P$ (11)

where D0 (m2/s) is pre-exponential factor, P is the microwave power (W), m is the mass of the initial sample (g), and Ea is the activation energy (W/g).

## 2.8 Color measurement

The surface color of both fresh and dried apple cylinders was determined by a Minolta CR-400 Chroma Meter (Japan). Three color measurements were taken for each sample, resulting in values for three chromatic scales (L*, a*, b*). Where L* indicates lightness ranging from no reflection for black (L* = 0) to perfect reflection for white (L* = 100), a* is the red/green coordinate with negative values for green to positive values for red, and b* is the yellow/blue coordinate with negative values for blue and positive values for yellow. The color difference between the dried and fresh samples, $ΔE$, was calculated according to Equation 12.

$Δ E = Δ L 2 + Δ a 2 + Δ b 2$ (12)

## 2.9 Visualization of the structure of the samples

Structure Characterization was performed with a Variable Pressure Scanning Electron Microscope (SEM) Hitachi S-3400N model (Hitachi High-Technologies, Japan). Analysis was performed at vacuum with a primary beam power of 20kV and 30mA.

# 3 Results and discussion

A total of eighteen drying experiments were conducted covering all the possible combinations of the studied variables. Some experiments were done in replicates to check their reproducibility. Three different power levels, 360, 500, and 775 W, were used for drying about 23 g of apple cylinders having 10.5 and 17.5 mm diameters and 3.3, 4.5, and 6.0 mm thickness. The initial moisture content (M0) was measured four times, with an average value, 88.4% (±0.8%). The apple samples were dried until the moisture content was below 7%. The time to reach 7% moisture content varied between 12 and 59 minutes, depending on the studied variables.

## 3.1 Effect of microwave power on the drying kinetics

Figure 2 shows the moisture ratio on a wet basis as a function of the drying time in minutes for all runs. The drying time for the same sample size was clearly reduced by increasing the microwave power. Polat et al. (2019)Polat, A., Taskin, O., Izli, N., & Asik, B. B. (2019). Continuous and intermittent microwave-vacuum drying of apple: drying kinetics, protein, mineral content, and color. Journal of Food Process Engineering, 42(3), 1-7. http://dx.doi.org/10.1111/jfpe.13012.
http://dx.doi.org/10.1111/jfpe.13012...
and Sin Ying et al. (2018)Sin Ying, H., Anuar, M. S., & Mohd Nor, M. Z. (2018). Drying, colour and sensory characteristics of ‘Berangan’ banana (Musa Accuminata) flesh dried using a microwave oven. Malaysian Journal of Halal Research, 1(1), 10-14. http://dx.doi.org/10.26480/mjhr.01.2018.10.14.
http://dx.doi.org/10.26480/mjhr.01.2018....
reported similar results for microwave drying of apples and bananas, respectively. For the same thickness and diameter, the drying time to reach a moisture content of 7% was shortened in average by 54.7 ± 2.5% upon increasing the power from 360 W to 775 W. This result was expected because of the higher amount of heat generated within the sample at the higher microwave power.

Figure 2
Drying kinetics of apple cylinders at different microwave powers, samples thickness, and diameter.

## 3.2 Effect of sample size on the drying kinetics

As shown in Figure 3, for the same microwave power, the drying time is reduced by increasing the diameter from 10.5 to 17.5 mm for all runs. The reduction percentages in the drying time varied between 28% and 49%. However, there was no apparent effect of changing the thickness on the drying curves.

Figure 3
Effect of sample size on drying kinetics of apple cylinders for (a) 360 W, (b) 500 W, and (c) 775 W.

## 3.3 Modelling results for the drying kinetics

The eight models listed in Table 2 were tested for all the drying experiments. All tested models showed good fitting (R2 (adj) > 0.9391). However, three models clearly exhibited better fitting than the others with R2 (adj) > 0.99 and RMSE < 0.0342 for all runs. These models are Aghbashlo, Page, and Logarithmic models (respectively with an average of R2 (adj) value of 0.9987, 0.9982 and 0.9977, and average RMSE value of 0.01034, 0.012219 and 0.0135). Table 3 shows the corresponding results of nonlinear regression and statistical parameters for all experiments for the best three models.

Table 3
Coefficients and statistical parameters of drying modeling for Aghbashlo, Page and Logarithmic models.

All obtained results from the Aghbashlo model were compared with the experimental data and presented in Figure 4. The scatter plot is very close to the first bisector (x = y) with a variance not exceeding the half-band of 5% (p < 0.05). Despite the measurement errors that may occur due to the heterogeneity of the raw material itself, a high correlation coefficient between the proposed model and the experimental data has been observed in all the cases with an average of R2 (adj) = 0.9987.

Figure 4
Calculated values by Aghbashlo model versus all experimental drying kinetics of apple samples.

## 3.4 Determination of the effective diffusivity and activation energy

The effective diffusivity Deff for apple samples was calculated for all runs. Deff values were proportional to microwave power, thickness of the samples, and diameter of the samples for all runs. Deff values are presented in Table 4, where they ranged between 1.47 × 10-7 and 24.4 × 10-7 m2/s. These values are in perfect agreement with Zarein et al. (2015)Zarein, M., Samadi, S. H., & Ghobadian, B. (2015). Investigation of microwave dryer effect on energy efficiency during drying of apple slices. Journal of the Saudi Society of Agricultural Sciences, 14(1), 41-47. http://dx.doi.org/10.1016/j.jssas.2013.06.002.
http://dx.doi.org/10.1016/j.jssas.2013.0...
, who studied microwave drying of apples. These values are also in good agreement with Ashtiani et al. (2018)Ashtiani, S.-H. M., Sturm, B., & Nasirahmadi, A. (2018). Effects of hot-air and hybrid hot air-microwave drying on drying kinetics and textural quality of nectarine slices. Heat and Mass Transfer, 54(4), 915-927. http://dx.doi.org/10.1007/s00231-017-2187-0.
http://dx.doi.org/10.1007/s00231-017-218...
and Darvishi et al. (2014)Darvishi, H., Asl, A. R., Asghari, A., Azadbakht, M., Najafi, G., & Khodaei, J. (2014). Study of the Drying Kinetics of Pepper. Journal of the Saudi Society of Agricultural Sciences, 13(2), 130-138. http://dx.doi.org/10.1016/j.jssas.2013.03.002.
http://dx.doi.org/10.1016/j.jssas.2013.0...
, who dried other fruits with the microwave.

Table 4
Design of Experience and results.

The activation energy was calculated by plotting the natural logarithm of the effective diffusivity, ln(Deff), versus mass per power, m/P, at the same diameter and thickness. All the plots produced straight lines with 0.948 < R2 < 0.999, indicating that activation energy profiles follow the modified Arrhenius equation (Equation 11). The calculated activation energy was between 19.2 and 27.1 g/W for the studied conditions, which is in good agreement with Zarein et al. (2015)Zarein, M., Samadi, S. H., & Ghobadian, B. (2015). Investigation of microwave dryer effect on energy efficiency during drying of apple slices. Journal of the Saudi Society of Agricultural Sciences, 14(1), 41-47. http://dx.doi.org/10.1016/j.jssas.2013.06.002.
http://dx.doi.org/10.1016/j.jssas.2013.0...
and Darvishi et al. (2014)Darvishi, H., Asl, A. R., Asghari, A., Azadbakht, M., Najafi, G., & Khodaei, J. (2014). Study of the Drying Kinetics of Pepper. Journal of the Saudi Society of Agricultural Sciences, 13(2), 130-138. http://dx.doi.org/10.1016/j.jssas.2013.03.002.
http://dx.doi.org/10.1016/j.jssas.2013.0...
.

## 3.5 Full factorial experimental design for the drying experiments

The studied responses vary with the experimental conditions, so ANOVA test is applicable in our case. The application of this statistical test allows the determination of a multi-linear dependence on the response of the tested factors (significations and interactions). Table 5 presents the result of ANOVA test. For the drying time, the power (P), the diameter (D), the thickness (t), the quadratic power (P2), and the interaction power diameter (P$×$D) are significant, with a p-value < 0.05. However, for the effective diffusivity, all effects are significant with a p-value < 0.05 except the quadratic power (P2) and the quadratic diameter (D2).

Table 5
Analysis of variance for the factors and the interactions model of the responses.

The results show that the main factors for drying time are the power and the diameter, and they appear in negative signs, which means that increasing their values reduces the drying time. Afterward, and with less effect, we find the quadratic power, the interaction power diameter, and then the thickness. These results are in agreement with the observation made from the drying kinetics curves shown in Figures 2 and 3. For the effective diffusivity, all parameters have positive signs, which means proportional correlation between effective diffusivity and all parameters. Results show also that thickness is the most effective factor, which is in good agreement with the observations made above in Section 3.4.

The validity of the two models is confirmed by the coefficient of determination, R2, of 98.43% and 96% for the drying time and diffusivity, respectively, and the adjusted coefficient of determination, R2 (adj), of 97.03% and 93.09% for the drying time and diffusivity, respectively. Therefore, maintained models are expressed by Equations 13 and 14:

$T i m e = 26.57 − 23.64 ⋅ P − 16.12 ⋅ D + 13.21 ⋅ P 2 + 6.40 ⋅ P ⋅ D + 5.53 ⋅ t$ (13)
$D i f f u s i v i t y = 4.65 + 4.37 ⋅ t + 2.76 ⋅ P + 2.26 ⋅ D + 1.98 ⋅ t ⋅ P + 1.89 ⋅ t 2 + 1.63 ⋅ D ⋅ t + 0.99 ⋅ D ⋅ P$ (14)

## 3.6 Effect of the microwave power on the surface color change

The surface color of the dried samples is a significant factor for its quality. This is the first parameter for the evaluation of the product, even before the taste. After microwave drying, samples were photographed (Figure 5). It is noted that the color of the samples is not uniform; this is due to the non-uniformity of the microwave emission beam distribution. It can be seen from Figure 5c, d that at high powers, the samples placed in the center of the plate were burned. So during our analysis of the color, the central samples are avoided.

Figure 5
Photography of apple samples: Fresh (a) and after microwave drying at 360W (b), 500 W (c), and 775 W (d).

The CIE L*, a*, and b* average values for the fresh apple samples were 71.2, -2.5, and 15.1, respectively. The changes of the three values were toward darker ($ΔL=negative$), more red ($Δa=positive$), and more yellow ($Δb=positive$) dried product. The average changes in lightness ($ΔL$) and total color ($ΔE$) for the dried samples were -6.33 and 11.23 at 360 W, -7.95 and 13.31 at 500 W and -8.94 and 15.52 at 775 W, respectively. These results are in accordance with the observations made during the experiments where it was noticed that browning occurred more at the higher microwave power levels (Figure 5). The same trend with similar values was observed for microwave drying of apple (Polat et al., 2019Polat, A., Taskin, O., Izli, N., & Asik, B. B. (2019). Continuous and intermittent microwave-vacuum drying of apple: drying kinetics, protein, mineral content, and color. Journal of Food Process Engineering, 42(3), 1-7. http://dx.doi.org/10.1111/jfpe.13012.
http://dx.doi.org/10.1111/jfpe.13012...
), mango (Izli et al., 2017Izli, N., Izli, G., & Taskin, O. (2017). Influence of different drying techniques on drying parameters of mango. Food Science and Technology (Campinas), 37(4), 604-612. http://dx.doi.org/10.1590/1678-457x.28316.
http://dx.doi.org/10.1590/1678-457x.2831...
) and ginger (Izli & Polat, 2019Izli, N., & Polat, A. (2019). Effect of convective and microwave methods on drying characteristics, color, rehydration and microstructure properties of ginger. Food Science and Technology (Campinas), 39(3), 652-659. http://dx.doi.org/10.1590/fst.04518.
http://dx.doi.org/10.1590/fst.04518...
).

## 3.7 Effect of the microwave power on the structure of the samples

SEM analysis can help understanding the effect of microwave drying on hardness, and therefore, product quality. Figures 6 and 7 show the microstructure of the dried apple samples at different microwave power levels.

Figure 6
Scanning electron microscopy micrographs of apple samples at Magnification 62x: Fresh (a) and dried with microwave at 360W (b), 500 W (c), and 775 W (d).
Figure 7
Scanning electron microscopy micrographs of apple samples at Magnification 415x: Fresh (a) and dried with microwave at 360W (b), 500 W (c), and 775 W (d).

The scanning electron micrographs of Figure 6 show a reduction in the size of the cells compared to the sample of the fresh apple (Figure 6a), which initially contains more water. We notice that as microwave power increases, cells exhibit higher deformation. This behavior can be explained by rapid kinetics of evaporation, leading to a faster diffusion of water through the cells, generating turbulence. Turbulence leads to cells deformation, and possible destruction at high microwave power (Figure 6d).

On the other hand, Figure 7 shows a very significant reduction in tissue thickness with the increase in microwave power. High power during drying might led to a melting of the starch granules and hence affecting the starch-protein matrix, leading to structural destruction of the samples as seen in Figure 6d. These structural changes are in agreement with previous research work, studying the effect of microwave power levels on drying of bamboo shoot (Bal et al., 2017Bal, L. M., Yogranjan, Naik, S. N., Satya, S., & Kar, A. (2017). Changes in tissue structure and physico-chemical quality characteristics of bamboo shoot slices during microwave drying process. Journal of Food Measurement and Characterization, 11(3), 1203-1209. http://dx.doi.org/10.1007/s11694-017-9497-2.
http://dx.doi.org/10.1007/s11694-017-949...
), ginger (Izli & Polat, 2019Izli, N., & Polat, A. (2019). Effect of convective and microwave methods on drying characteristics, color, rehydration and microstructure properties of ginger. Food Science and Technology (Campinas), 39(3), 652-659. http://dx.doi.org/10.1590/fst.04518.
http://dx.doi.org/10.1590/fst.04518...
) and trabzon persimmon (Çelen, 2019Çelen, S. (2019). Effect of microwave drying on the drying characteristics, color, microstructure, and thermal properties of trabzon persimmon. Foods, 8(2), 84. http://dx.doi.org/10.3390/foods8020084. PMid:30813446.
http://dx.doi.org/10.3390/foods8020084...
).

# 4 Conclusions

In the present study, microwave drying characteristics of Gala apples (Malus Pumila) cylinders with different diameters (10.5 and 17.5 mm) and thicknesses (3.3, 4.5, and 6.0 mm) at three microwave power levels (360, 500, and 775 W) were investigated. In total, eighteen different experimental conditions were studied. The Aghbashlo model, together with Page and logarithmic models, provided the best fit for the results among eight tested thin-layer models for all the runs. Increasing the microwave power decreased the drying time and increased the effective moisture diffusivity. The diameter of the apple samples had a similar effect as the power on the drying time and the effective moisture diffusivity. However, as samples thickness increases, effective diffusivity increases, but there was no clear trend on the drying kinetics.

The calculated effective diffusivity was between 1.47 × 10-7 and 24.4 × 10-7 m2/s and the activation energy was between 19.2 and 27.1 g/W for the studied samples. An experimental design was used to express the drying time and the effective diffusivity as a function of the studied parameters. For the drying time, the power and the diameter are more significant than other variables. However, the thickness has the principal effect to increase the effective diffusivity. Thus, for higher drying rate, higher microwave powers and larger diameters are preferred.

Applying higher microwave power increased the surface color change and lowered the lightness of the dried samples, in addition to the occasional burning effect. Also, the high microwave power destroyed the surface structure, hence, avoiding high power is recommended to preserve textural quality of the product.

• Practical Application: The microwave drying parameters of apple slices, were tested in order to study their effect on the color and structure of the dried product. The best quality obtained with the most adequate drying kinetics (lower energy cost) corresponds to a microwave power of 500 W.

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# Publication Dates

• Publication in this collection
30 Oct 2020
• Date of issue
2021