3.1 Drying kinetics
Figure 1 shows the drying kinetics of bocaiuva slices during the IRD. The duration for the samples to attain a final moisture content of 0.150 ± 0.01 kg of water/kg sample (w.b.) ranged from 160 minutes at 80°C to 280 minutes at 60°C.
As expected, lower drying time was observed in the treatments at higher temperature (Fig. 1). As the drying temperature rises, both internal and external resistance to moisture removal diminishes. This phenomenon is associated with the augmentation of water molecule mobility, an increase in the driving force, and consequently, a heightened vapor pressure that facilitates the evaporation of moisture from the product's interior to its surface (Araújo et al., 2020; Elhussein & Şahin, 2018; Turan & Firatligil, 2019).
Similar reports were presented by Rodríguez-Ramos et al. (Rodríguez-Ramos et al., 2021) during the convective drying of Salicornia fruticosa. In this study, comparing the treatments at different temperatures, a reduction in drying time of approximately 50% was observed, comparing 70 and 50 ºC. Such a reduction in the drying period at higher temperatures were also reported by Ju et al. (Ju et al., 2020) during the convective drying of American ginseng root (Panax quinquefolium) at 45–60°C and by Bakhara et al. (Bakhara et al., 2018) during osmo-convective of tender jackfruit slices at 50–70°C.
Figure 2 - The drying rate of bocaiuva slices versus moisture content in different IRD treatments
According to Fig. 2, maximum drying occurred at the initial stages of the process, characterized by high moisture content in the fruits, leading to elevated drying rates. As the process progressed, the treatments entered the falling rate period, indicating that diffusion mass transfer governs the drying process. During agricultural food drying, the absence of a constant drying rate period has been reported by several authors (Babu et al., 2018; Junqueira et al., 2021; Ovando-Medina, 2023).
It was also observed higher drying rates at 80 ºC (Fig. 2). Babu et al. (Babu et al., 2018) pointed that an elevation in temperature leads to a decrease in drying time. Consequently, a greater gradient in both moisture and heat is achieved, resulting in an increased drying rate. Junqueira et al. (Junqueira et al., 2021) observed that taioba leaves dried at higher temperatures presented higher drying rates (lower drying periods).
3.2 Mathematical modeling
Table 1 presents the effective diffusivities (Deff) of bocaiuva slices during IRD, calculated based on Fick’s diffusion theory. The Deff values ranged from 4.53 × 10− 11 to 9.38 × 10− 11 m2/s. The results showed that R2 values were greater than 0.97, and RMSE and χ2 values were lower than 0.07 and 0.005, respectively. These values presented analogous magnitude orders than those observed for IRD (Delfiya et al., 2022).
Table 1
Effective diffusivity of bocaiuva slices during IRD at different temperatures
Temperature | Deff [m²/s] ×1011 | R² | RMSE ×102 | χ² ×103 |
60 ºC | 4.53 | 0.973 | 6.46 | 4.32 |
70 ºC | 6.95 | 0.971 | 6.98 | 5.13 |
80 ºC | 9.38 | 0.975 | 6.62 | 4.64 |
According to Table 1, an increase in the temperature process promoted an increase in the Deff. Araujo et al. (Araujo et al., 2021) observed similar behavior during IRD of pear slices (50–100 ºC) and pointed that the temperature enhancement leads to alterations in the physical properties of fluids, including viscosity and the molecular vibration of water and air molecules.
Deff values of various food products during IRD are reported in many literatures, for example, 2.89–12.23 × 10− 10 m2/s for okra (El-Mesery et al., 2023), 1.14–3.08 ×10− 9 m2/s for black mulberry (Doymaz & Kipcak, 2019), 6.97–8.96 ×10− 9 m2/s for dill leaves (Tezcan et al., 2021), 1.53–3.23 × 10− 10 m2/s for piquin pepper (Ovando-Medina, 2023), and 1.15–8.96 ×10− 9 m2/s for pears (Araujo et al., 2021).
The disparities observed in Deff values are attributed to factors such as material thickness and composition, IR power, drying temperature, distance between the IR heater and the sample, among others (Sakare et al., 2020).
The commencement of the moisture diffusion from the inside to the outside of bocaiuva slices requires energy, which is expressed as Ea. This parameter was calculated using the Arrhenius equation (Eq. 6) and was found as 35.69 kJ/mol. This value represents the energy required to achieve the Deff (Balzarini et al., 2018; Kamble et al., 2022).
The determined values of activation energy present the range of many food products during the drying such as lemon basil leaves (32.35 kJ/mol) (Mbegbu et al., 2021), piquin pepper (38.81 kJ/mol) (Ovando-Medina, 2023), potato slices (25.35–36.17 kJ/mol) (Singh & Talukdar, 2019), yam slices (10.59–54.93 kJ/mol) (Ojediran et al., 2020) and orange slices (18.64–32.88 kJ/mol) (Bozkir, 2020) in different conditions.
The statistical results of the modeling with Page’s equation are presented in the Table 3.
Table 2
Effect of drying temperature on Page’ equation regression parameters
Temperature | k | n | R2 | RMSE ×103 | χ² ×105 |
60 ºC | 4.82 × 10− 5 | 1.12 | 0.999 | 3.17 | 1.08 |
70 ºC | 5.84 × 10− 5 | 1.17 | 0.999 | 5.59 | 3.09 |
80 ºC | 7.29 × 10− 5 | 1.16 | 0.999 | 7.05 | 5.57 |
As indicated in Table 2, the drying constant “k” parameter exhibited an increase with the rise in IRD temperature. This finding aligns with the Deff values, wherein faster drying (Fig. 1) corresponded to higher diffusivity (Table 1).
The adjustment parameter “n” ranged from 1.12 to 1.17, presenting similar values (Table 2). No trend was observed. The results showed statistical values of R2 greater than 0.99 and lower RMSE and χ² values. This suggests the suitability of this equation for depicting the drying behavior. Recently, this model was successfully used for describing the IRD of black mulberry (Doymaz & Kipcak, 2019), ginger (Osae et al., 2020) and turmeric (Jeevarathinam et al., 2022).
3.3 Thermodynamic properties and Energetic Analysis
Table 5 shows the thermodynamic functions including enthalpy, entropy, Gibbs free energy, and specific energy consumption under various IRD temperatures.
Table 3
Thermodynamic properties and energetic consumption of bocaiuva slices during IRD
Temperature | ΔH [kJ/mol] | ΔS [kJ/mol×K] | ΔG [kJ/mol] | SEC [MJ/kgwater] |
60 ºC | 32.93 | -336.56 | 145.05 | 448.79 |
70 ºC | 32.84 | -336.80 | 148.42 | 311.42 |
80 ºC | 32.76 | -337.04 | 151.79 | 243.24 |
According to Table 3, minor differences were noted in the thermodynamic properties. Furthermore, enthalpy and entropy decreased with increasing IRD temperature, while the Gibbs free energy showed an increase.
The higher enthalpy change (ΔH) value, the stronger the water is attached to the product, and more energy are required to separate water from the product over the course of the drying process (Akhoundzadeh Yamchi et al., 2023). Positive enthalpy values indicate endergonic reactions, implying that drying at a higher temperature requires less energy to separate the water attached to the product. Similar magnitude order values were observed during the IRD of bitter melon (28.83–36.06 kJ/mol), without pretreatments (Akhoundzadeh Yamchi et al., 2023).
The ΔS presented similar behavior of ΔH, with values being reduced with the increase in IRD temperature (Table 3). The reduction in the moisture content throughout the drying process, hinders the movement of water molecules. Enhancing the IRD temperature results in an increase in the partial pressure of water vapor within the product, consequently elevating the excitation of water molecules. This, in turn, accelerates the diffusion process rate (El-Mesery et al., 2023).
According to Silva et al. (E. K. Silva et al., 2014), negative ΔS values are attributed to the presence of chemical adsorption and/or structural modifications of the adsorbent occurring during the process. Studying the drying (40–80 ºC) of azuki beans, Almeida et al. (Almeida et al., 2020) obtained ΔS ranging from − 339 kJ/mol×K to -340 kJ/mol×K.
ΔG showed positive values for all treatments, and increased with increasing IRD temperature, ranging from 145.05 (60°C) to 151.79 kJ/mol (80°C), indicating a non-spontaneous process. Hence, it is essential to supply thermal energy for these processes to occur.
The SEC reduced with an increase in IRD temperature (Table 3). Such a results are related to the higher temperature gradient, which reduces the total drying time (Fig. 1) and favors the energy save, since the energy spent on the evaporation process decreases. According to the Eq. 9, the higher time process, the higher energy consumption (Çelen, 2019; Junqueira et al., 2022).
The findings of this study was in agreement with Sa-Adchom (Sa-Adchom, 2023). He investigated the impact of far-infrared radiation in conjunction with a belt conveyor system during the drying of tamarind foam-mats and observed a decrease in the specific energy consumption (SEC) in treatments with higher power levels (resulting in shorter drying periods).
During Mentha spicata IRD, Hazervazifeh et al. (Hazervazifeh & A. Moghaddam, 2024) observed that increasing the drying temperature reduces the SEC. The lowest (42.23 MJ/gwater) and the highest (67.19 MJ/gwater) values of SEC were observed at 70 and 50 ºC, respectively.
3.5 Quality parameters
The color characteristics of bocaiuva slices during IRD are presented in the Table 4
Table 4
– Color parameters of bocaiuva slices during IRD at different temperatures
Temperature | L* | a* | b* | ΔE |
60 ºC | 39.14 ± 2.66a | 11.67 ± 1.58a | 41.23 ± 1.35a | 3.71 ± 0.29a |
70 ºC | 48.87 ± 2.46c | 11.27 ± 0.78a | 47.78 ± 1.15b | 9.66 ± 0.39b |
80 ºC | 43.70 ± 1.50b | 11.98 ± 1.63a | 47.62 ± 1.78b | 11.09 ± 0.56b |
Average value ± standard deviation. Mean followed by different letters in the same column indicate a significant difference (p ≤ 0.05), according to Tukey’s test.
The fresh bocaiuva presented the color characteristics: L* = 41.76 ± 1.93; a* = 10.16 ± 1.78; and b* = 46.56 ± 2.86. The parameters L* and b* were significantly affected by the IRD temperature (Table 4) (p ≤ 0.05). We observed an increase in L*, b* and ΔE, at higher drying temperature.
The samples dried at 60 ºC, presented color characteristics darker and “less yellowness”, which may indicate browning reactions. The higher drying process time (40% higher than 70 ºC and 75% higher than 80 ºC) at this temperature, intensified contact of the sensible compounds, such as pigments (carotenoids), with oxygen and heat occurs, thereby promoting oxidation, which ultimately results in color changes (Macedo et al., 2021).
As presented in the Table 4, significative difference (p ≤ 0.05) was observed for the ΔE.
Color differences can be categorized as follows: small differences (ΔE < 1.5), distinct differences (1.5 < ΔE < 3), and very distinct differences (ΔE > 3) (Pathare et al., 2013). According to this assessment, all treatments exhibit very distinct color characteristics compared to the fresh fruit. During vacuum drying of yacon, Oliveira et al. (Oliveira et al., 2021) observed higher ΔE at higher temperatures. Similar findings were reported during of kiwifruit with/without osmotic dehydration under IRD (Lyu et al., 2017).
Table 5 shows physical analyses of the bocaiuva slices during IRD.
Table 5
– Physical analyses of bocaiuva slices during IRD at different temperatures
Temperature | Shrinkage [ - ] | Rehydration [%] | Hygroscopicity [g/100 g− 1] |
60 ºC | 0.620 ± 0.065a | 279 ± 23a | 13.807 ± 0.236a |
70 ºC | 0.533 ± 0.055ab | 281 ± 41a | 15.977 ± 1.576a |
80 ºC | 0.460 ± 0.010b | 289 ± 43a | 19.407 ± 1.427b |
Average value ± standard deviation. Mean followed by different letters in the same column indicate a significant difference (p ≤ 0.05), according to Tukey’s test.
According to Table 5, it was observed significant difference between the treatments on the shrinkage parameter (p ≤ 0.05). The closer the value is to unity, the greater the sample shrinkage, resulting in lower preservation of the physical and structural characteristics of the dried bocaiuva. This phenomenon is associated with changes in cell shape (Junqueira et al., 2017).
Lower shrinkage was observed at higher temperatures (Table 5). IRD induces a reduction in moisture content, thereby decreasing the tension exerted by liquid (water) against the cell wall. This can lead to a pressure imbalance between the interior and exterior of the tissues. It is pressure difference can cause ruptures and collapses to the structure of the material, and, therefore, shrinkage is observed (Rojas & Augusto, 2018).
Akbarian et al. (Akbarian et al., 2014) concluded that shrinkage is increased with increasing drying time. During the convective drying of hawthorn fruit, Aral and Beşe (Aral & Beşe, 2016) observed that the shrinkage decreased with increasing air temperature.
The ANOVA revealed no significant differences (p > 0.05) in the rehydration of the dried bocaiuva (Table 5). The removal of water during IRD results in cell damage, leading to a gradual breakdown in tissue organization. This affects the ability of semi-permeable membranes to act as a barrier to water diffusion (Junqueira et al., 2017).
The reduced process leads to the creation of a porous structure which increases the ability to absorb the water during the rehydration (Taghian Dinani & Havet, 2015). However, in this study, such a difference was not observed for this parameter. Probable the fibrous structure of the bocaiuva (Munhoz et al., 2013) aided the water absorption, regardless the temperature treatment.
During the drying of lettuce in different drying treatments (hot air, infrared, microwave-assisted hot air and hot air-assisted radio frequency), Roknul et al. (Roknul et al., 2014) observed rehydration capacity values ranging from 14.85–18.89%. Those authors reported slight differences in this parameter, although there was a significant difference in the duration of the process.
According to Russo et al. (Russo et al., 2013), several factors affect the structure of the dried samples, thereby influencing water uptake during rehydration. During the drying of eggplants, those authors observed that samples dried at 40, 50 and 60°C show similar rehydration kinetics with a weight gain of about 500%.
Table 5 presents the hygroscopicity of the samples, and a significant difference (p ≤ 0.05) was observed between the treatments. The bocaiuva slices dried at 60 and 70 ºC, presented lower hygroscopicity values (p ≤ 0.05). It is desirable for dried fruits to exhibit low hygroscopicity, indicating minimal water absorption from the environment. (Macedo et al., 2021).
During the drying of soursop pulp, Cavalcante et al. (Cavalcante et al., 2017) observed that higher drying temperatures resulted in powders that exhibited greater ease in adsorbing water. This phenomenon is associated with the increased concentration gradient of water between the samples and the air. During the drying of kinui (mango), in different drying methods, Shuen et al. (Shuen et al., 2021) obtained hygroscopicity ranging from 18.66% (convective drying) to 22.41% (spray dryer).