# Drying Kinetics and Rehydration Characteristics of Convective Hot-Air Dried White Button Mushroom Slices

Authors: İbrahim Doymaz
Journal: Journal of Chemistry
 (2014)

---

## Abstract

The effect of pretreatment (0.5% citric acid solution) and drying air temperature (40, 50, 60, and 70°C) on drying characteristics of button mushroom slices was investigated in a cabinet dryer. The experimental results show that the drying temperature and pretreatment have significant effects on the moisture removal from mushroom. In addition, rehydration ratio of pretreated samples was higher than that of control ones. Four kinds of classical model were used to obtain moisture data and the logarithmic model was the best for representation of mushroom drying. The values of effective moisture diffusivity were found to range between1.70×10-10 and 7.12×10-10 m2/s over the temperature range studied. The activation energy was found to be 35.04 and 37.21 kJ/mol for control and pretreated samples, respectively.


---

## Body

## 1. Introduction

Mushrooms have been used throughout the world for many centuries. They are considered to be good sources of crude proteins, carbohydrates, lipids, and dietary fibre. Moreover, they are excellent sources of thiamine, riboflavin, nicotinic acid, biotin, and ascorbic acid [1]. Out of 38,000 known mushroom varieties, the most popular areAgaricus bisporus (white button mushroom),Lentinus edodes (Shitake or Japanese mushroom),Pleurotusspecies (oyster mushroom),Volvariella volvacea (paddy straw mushroom),Flammulina velutipes (winter mushroom), and theAuricularia polytricha (Jew’s ear mushroom) [2]. The button mushroom (Agaricus bisporus) is the most widely planted and consumed mushroom throughout the world and it contributes to about 40% of the world production mushroom [3]. Due to their high moisture content, mushrooms are highly perishable as they start deterioration soon after harvest, with a shelf life of 1-2 days at room temperature [4]. Among the various methods employed for preservation, canning is the most frequently adopted method in commercial scale. Mushroom can be processed in many other methods to extend their self-life such as pickling and drying [2]. Dried mushrooms are used as an important ingredient in several food formulations including instant soups, pasta salads, snack seasonings, stuffing, casseroles, and meat and rice disks [5].Drying is one of the methods of food preservation. The main attribute of this method is the decrease in the water activity in the product by decreasing its water content, inhibiting the development of microorganisms, and decreasing spoilage reactions, thus prolonging the shelf life of the product [6]. It also provides an extension of shelf life, lighter weight for transportation, and less space for storage. Drying combined with some pretreatments appears to be a cost effective method of preservation. Pretreatments of some agricultural foods prior to drying have been reported to help reduce some of undesired changes such as colour and textural changes. Also, they reduce drying time by relaxing tissue structure and yield a good quality to dried product. Potassium and sodium hydroxide, potassium carbonate, potassium metabisulphate, methyl and ethyl ester emulsions, and citric and ascorbic acids are the most common and commercially used pretreatments [7–9].The most relevant aspects of drying technology are the mathematical modeling of the process and the experimental setup. The modeling is basically based on the design of a set of equations to describe the system as accurately as possible. Drying characteristics of the particular products being dried and mathematical models are needed in the design, construction, and operation of drying systems [10]. Mathematical models of the drying processes are used for designing new or improving existing drying systems or even for the control of the drying process. Many mathematical models have been proposed to describe the drying process; of them, thin-layer drying models have been widely in use. These models can be categorized as theoretical, semitheoretical, and empirical models. Recently, there have been many researches on the mathematical modelling and experimental studies of the drying characteristics of various vegetables and fruits, such as grape [8], sweet potato [11], mango [12], and others. There are several studies in the literature related to the drying characteristics of mushroom. For example, Çelen et al. [13] investigated drying characteristics of mushrooms at different air temperatures of 40, 45, 50, and 60°C and different slice thickness of 2, 4, and 6 mm. The experimental results show that the drying temperature has a significant effect on the moisture removal from mushrooms. Walde et al. [2] found that the dehydration characteristics of mushroom were also examined by using different pretreatments (blanching, followed by soaking in potassium metabisulphate, fermented whey, and curds) and drying systems (hot-air cabinet dryer, fluidized bed dryer, vacuum dryer, and microwave oven). The results show that microwave drying may not be a suitable method for the drying of mushrooms. Xanthopoulos et al. [14] investigated the effect of drying air temperature (50–65°C) and air velocity (1–5 m/s) on drying kinetics of mushroom slices. The statistical analysis concluded that the best model in terms of fitting performance was the logarithmic model. However, pretreatment such as citric acid solution on drying kinetics, effective moisture diffusivity, and activation energy of mushroom slices has not yet been reported. The objectives of this study were to study the effects of pretreatment on the drying kinetics and the rehydration ratio, fit experimental data to four thin-layer drying models, and compute effective moisture diffusivity and activation energy values using mushroom slices.


## 2. Material and Methods

### 2.1. Sample Preparation

Fresh button mushrooms (Agaricus bisporus) were obtained from a local supermarket in Istanbul and kept in a refrigerator (4°C) prior to the experiments. For samples preparation, the mushrooms were washed with tap water and dripped. Then, the samples were separated from the stems and vertically cut into four pieces for drying in order to increase the surface area and divided into two lots before use. One lot of mushroom slices was pretreated with solution of citric acid (0.5%) at 20°C for 3 min (citric acid). The other lot was untreated (control).The initial moisture content of mushroom slices was determined by using the oven method at 110°C for 24 h. Triplicate samples were used for the determination of moisture content and the average values were reported as 10.3122 kg water/kg dry matter (d.b.).


### 2.2. Drying Apparatus

Drying experiments were carried out using a cabinet dryer (APV & PASILAC Limited of Carlisle, Cumbria, UK), described previously by Doymaz [15]. It basically consists of a centrifugal fan to supply the air flow, an electric heater, an air filter, and an electronic proportional controller. The air velocity above the product was measured using an anemometer (AM-4201, Lutron, Taipei, Taiwan) with an accuracy 0.1 m/s. The air is heated to the desired temperature in the heating unit and channeled to the drying chamber. The air temperature in the dryer was regulated to ±1°C using a temperature controller. The samples were dried in a perforated tray (radius: 29 cm and height: 7 cm). Weight loss of samples was recorded by using a digital balance (model BB3000, Mettler-Toledo AG, Grefensee, Switzerland), which has 0–3000 g measurement range with reading accuracy of 0.1 g.


### 2.3. Experimental

The cabinet dryer was started about 30 min before drying experiments to achieve steady-state conditions before each drying run. Then, the mushroom slices weighing about 50 ± 1 g were spread to thickness 1 cm on the tray. The drying experiments were conducted at 40, 50, 60, and 70°C air temperatures and constant air velocity of 2 m/s. Air flowed perpendicular to drying surfaces of the samples. Initial weight of the tray and sample was noted. During drying process, the tray was taken out at 15-min interval and weighed using a digital electronic balance. Drying was stopped when the moisture content of samples was approximately 0.085 kg water/kg dry matter. The dried product was cooled and packaged in low-density polyethylene bags and then heat-sealed. The drying experiments were carried out in triplicate. Drying data were analyzed using two-way analysis of variance atP<0.05.


### 2.4. Rehydration Experiments

Rehydration experiments for dried samples at 40°C were carried out in distilled water bath at temperature of 25 and 50°C (±1°C). Approximately 1 g of dried samples was added to 400 mL distilled water, in a 500 mL beaker. The sample was withdrawn from the liquid every 20 min, and excess water was carefully removed by blotting on a tissue paper, before weighing. The actual rehydration duration was 240 min. Weights of dried and rehydrated samples were measured using an electronic digital balance (Precisa, model XB220A, Precisa Instruments AG, Dietikon, Switzerland) having a sensitivity of 0.001 g. The rehydration ratio (RR) was calculated by the following equation:(1)RR=WrWd,
where Wr is the weight of moisture (kg) and Wd is the weight of dry matter (kg).


### 2.5. Mathematical Modeling

Moisture content was calculated using the following equation:(2)M=(W0-W)-W1W1,
where M is the moisture content (kg water/kg dry matter), W0 is initial weight of sample (kg), W is the amount of evaporated moisture (kg), and W1 is dry matter content of sample (kg). Experimental data from the different drying runs were expressed as moisture ratio versus drying time and drying rate versus moisture content.Data derived from drying of mushroom slices were fitted to four thin-layer drying models (Table1). The moisture ratio (MR) of the samples is defined according to the following equation:
(3)MR=Mt-MeM0-Me,
where Mt, M0, and Me are moisture contents at any time, the initial moisture content, and the equilibrium moisture content (kg water/kg dry matter), respectively, and t is the drying time (min). The value of Me is relatively small for long drying times, compared to values of Mt and M0, so the equation can be simplified to [12, 19]
(4)MR=MtM0.
The drying rate (DR) of mushroom slices was calculated using the following equation:
(5)DR=Mt-Mt+ΔtΔt,
where Mt+Δt is moisture content at t+Δt (kg water/kg dry matter) and t is time (min).Table 1
Mathematical models given by various authors for drying curves.
Model name
Model
Reference
Lewis
MR
=
exp
⁡
(
-
k
t
)
Roberts et al. [16]
Henderson and Pabis
MR
=
a
exp
⁡
(
-
k
t
)
Ghodake et al. [17]
Logarithmic
MR
=
a
exp
⁡
(
-
k
t
)
+
c
Xanthopoulos et al. [14]
Page
MR
=
exp
⁡
(
-
k
t
n
)
Kaleta et al. [18]


### 2.6. Statistical Analysis

Data were analyzed using Statistica 6.0 (Statsoft Inc., Tulsa, OK) software package. Model parameters were estimated using a nonlinear regression procedure based on the Levenberg-Marquardt algorithm. The fitting quality of the experimental data to all models was evaluated using the coefficient of determination (R2), the reduced chi-square (χ2), and the root mean square error (RMSE). These parameters were calculated from the following formulas:
(6)χ2=∑i=1N(MRexp⁡,i-MRpre,i)2N-z,RMSE=[1N∑i=1N(MRpre,i-MRexp⁡,i)2]1/2,
where MRexp⁡,i and MRpre,i are experimental and predicted dimensionless moisture ratios, respectively, N is the number of observations, and z is the number of constants. The best model describing the drying kinetics of samples was chosen as the model with the lowest χ2 and RMSE values and the highest R2 value [12, 20].


### 2.7. Calculation of Moisture Diffusivity

Fick’s second law can be derived as follows:(7)∂M∂t=Δ[Deff(ΔM)],
where M is the local moisture content (kg water/kg dry matter), t is the time (s), and Deff is the effective moisture diffusivity (m2/s). Equation (7) can be used to determine the moisture ratio in terms of infinite series by giving the analytical solutions for various regularly shaped bodies, such as rectangular, cylindrical, and spherical shapes, with the appropriate initial and boundary conditions shown as followed:
(8)t=0,0<x<L,M=M0,t>0,x=0,∂M∂t=0,t>0,x=L,M=M0.
The present case was considered of slab geometry, and then the first boundary condition states that moisture is initially uniformly distributed throughout the sample. The second implies that the mass transfer is symmetric with respect to the centre of the slab. The third condition states that the surface moisture content of the samples instantaneously reaches equilibrium with the conditions of surroundings air [21].The solution of Fickian diffusion equation (7) in such conditions for an infinite slab, assuming unidimensional moisture movement volume change, constant temperature, and diffusivity coefficients, and negligible external resistance [22] can be as follows:
(9)MR=8π2∑n=0∞1(2n+1)2exp⁡(-(2n+1)2π2Defft4L2),
where Deff is the effective moisture diffusivity (m2/s), L is the half-thickness of the slab (m), and n is the positive integer. For long drying times, equation (9) simplifies to a limiting form of the diffusion equation as follows:
(10)MR=8π2exp⁡(-π2Defft4L2).
This could be further converted into a straight-line equation as
(11)ln⁡(MR)=ln⁡(8π2)-π2Deff4L2.
The effective moisture diffusivity was calculated from a slope of a straight line by plotting experimental drying data in terms of ln(MR) versus drying time.


### 2.8. Calculation of the Activation Energy

Effective moisture diffusivity can be related with temperature by Arrhenius expression like(12)Deff=D0exp⁡(-EaR(T+273.15)),
where D0 is a constant in the Arrhenius equation (m2/s), Ea is the activation energy (kJ/mol), T is temperature of air (°C), and R is the universal gas constant (kJ/mol K). Equation (12) can be rearranged into form of
(13)ln⁡(Deff)=ln⁡(D0)-EaR(T+273.15).


## 2.1. Sample Preparation

Fresh button mushrooms (Agaricus bisporus) were obtained from a local supermarket in Istanbul and kept in a refrigerator (4°C) prior to the experiments. For samples preparation, the mushrooms were washed with tap water and dripped. Then, the samples were separated from the stems and vertically cut into four pieces for drying in order to increase the surface area and divided into two lots before use. One lot of mushroom slices was pretreated with solution of citric acid (0.5%) at 20°C for 3 min (citric acid). The other lot was untreated (control).The initial moisture content of mushroom slices was determined by using the oven method at 110°C for 24 h. Triplicate samples were used for the determination of moisture content and the average values were reported as 10.3122 kg water/kg dry matter (d.b.).


## 2.2. Drying Apparatus

Drying experiments were carried out using a cabinet dryer (APV & PASILAC Limited of Carlisle, Cumbria, UK), described previously by Doymaz [15]. It basically consists of a centrifugal fan to supply the air flow, an electric heater, an air filter, and an electronic proportional controller. The air velocity above the product was measured using an anemometer (AM-4201, Lutron, Taipei, Taiwan) with an accuracy 0.1 m/s. The air is heated to the desired temperature in the heating unit and channeled to the drying chamber. The air temperature in the dryer was regulated to ±1°C using a temperature controller. The samples were dried in a perforated tray (radius: 29 cm and height: 7 cm). Weight loss of samples was recorded by using a digital balance (model BB3000, Mettler-Toledo AG, Grefensee, Switzerland), which has 0–3000 g measurement range with reading accuracy of 0.1 g.


## 2.3. Experimental

The cabinet dryer was started about 30 min before drying experiments to achieve steady-state conditions before each drying run. Then, the mushroom slices weighing about 50 ± 1 g were spread to thickness 1 cm on the tray. The drying experiments were conducted at 40, 50, 60, and 70°C air temperatures and constant air velocity of 2 m/s. Air flowed perpendicular to drying surfaces of the samples. Initial weight of the tray and sample was noted. During drying process, the tray was taken out at 15-min interval and weighed using a digital electronic balance. Drying was stopped when the moisture content of samples was approximately 0.085 kg water/kg dry matter. The dried product was cooled and packaged in low-density polyethylene bags and then heat-sealed. The drying experiments were carried out in triplicate. Drying data were analyzed using two-way analysis of variance atP<0.05.


## 2.4. Rehydration Experiments

Rehydration experiments for dried samples at 40°C were carried out in distilled water bath at temperature of 25 and 50°C (±1°C). Approximately 1 g of dried samples was added to 400 mL distilled water, in a 500 mL beaker. The sample was withdrawn from the liquid every 20 min, and excess water was carefully removed by blotting on a tissue paper, before weighing. The actual rehydration duration was 240 min. Weights of dried and rehydrated samples were measured using an electronic digital balance (Precisa, model XB220A, Precisa Instruments AG, Dietikon, Switzerland) having a sensitivity of 0.001 g. The rehydration ratio (RR) was calculated by the following equation:(1)RR=WrWd,
where Wr is the weight of moisture (kg) and Wd is the weight of dry matter (kg).


## 2.5. Mathematical Modeling

Moisture content was calculated using the following equation:(2)M=(W0-W)-W1W1,
where M is the moisture content (kg water/kg dry matter), W0 is initial weight of sample (kg), W is the amount of evaporated moisture (kg), and W1 is dry matter content of sample (kg). Experimental data from the different drying runs were expressed as moisture ratio versus drying time and drying rate versus moisture content.Data derived from drying of mushroom slices were fitted to four thin-layer drying models (Table1). The moisture ratio (MR) of the samples is defined according to the following equation:
(3)MR=Mt-MeM0-Me,
where Mt, M0, and Me are moisture contents at any time, the initial moisture content, and the equilibrium moisture content (kg water/kg dry matter), respectively, and t is the drying time (min). The value of Me is relatively small for long drying times, compared to values of Mt and M0, so the equation can be simplified to [12, 19]
(4)MR=MtM0.
The drying rate (DR) of mushroom slices was calculated using the following equation:
(5)DR=Mt-Mt+ΔtΔt,
where Mt+Δt is moisture content at t+Δt (kg water/kg dry matter) and t is time (min).Table 1
Mathematical models given by various authors for drying curves.
Model name
Model
Reference
Lewis
MR
=
exp
⁡
(
-
k
t
)
Roberts et al. [16]
Henderson and Pabis
MR
=
a
exp
⁡
(
-
k
t
)
Ghodake et al. [17]
Logarithmic
MR
=
a
exp
⁡
(
-
k
t
)
+
c
Xanthopoulos et al. [14]
Page
MR
=
exp
⁡
(
-
k
t
n
)
Kaleta et al. [18]


## 2.6. Statistical Analysis

Data were analyzed using Statistica 6.0 (Statsoft Inc., Tulsa, OK) software package. Model parameters were estimated using a nonlinear regression procedure based on the Levenberg-Marquardt algorithm. The fitting quality of the experimental data to all models was evaluated using the coefficient of determination (R2), the reduced chi-square (χ2), and the root mean square error (RMSE). These parameters were calculated from the following formulas:
(6)χ2=∑i=1N(MRexp⁡,i-MRpre,i)2N-z,RMSE=[1N∑i=1N(MRpre,i-MRexp⁡,i)2]1/2,
where MRexp⁡,i and MRpre,i are experimental and predicted dimensionless moisture ratios, respectively, N is the number of observations, and z is the number of constants. The best model describing the drying kinetics of samples was chosen as the model with the lowest χ2 and RMSE values and the highest R2 value [12, 20].


## 2.7. Calculation of Moisture Diffusivity

Fick’s second law can be derived as follows:(7)∂M∂t=Δ[Deff(ΔM)],
where M is the local moisture content (kg water/kg dry matter), t is the time (s), and Deff is the effective moisture diffusivity (m2/s). Equation (7) can be used to determine the moisture ratio in terms of infinite series by giving the analytical solutions for various regularly shaped bodies, such as rectangular, cylindrical, and spherical shapes, with the appropriate initial and boundary conditions shown as followed:
(8)t=0,0<x<L,M=M0,t>0,x=0,∂M∂t=0,t>0,x=L,M=M0.
The present case was considered of slab geometry, and then the first boundary condition states that moisture is initially uniformly distributed throughout the sample. The second implies that the mass transfer is symmetric with respect to the centre of the slab. The third condition states that the surface moisture content of the samples instantaneously reaches equilibrium with the conditions of surroundings air [21].The solution of Fickian diffusion equation (7) in such conditions for an infinite slab, assuming unidimensional moisture movement volume change, constant temperature, and diffusivity coefficients, and negligible external resistance [22] can be as follows:
(9)MR=8π2∑n=0∞1(2n+1)2exp⁡(-(2n+1)2π2Defft4L2),
where Deff is the effective moisture diffusivity (m2/s), L is the half-thickness of the slab (m), and n is the positive integer. For long drying times, equation (9) simplifies to a limiting form of the diffusion equation as follows:
(10)MR=8π2exp⁡(-π2Defft4L2).
This could be further converted into a straight-line equation as
(11)ln⁡(MR)=ln⁡(8π2)-π2Deff4L2.
The effective moisture diffusivity was calculated from a slope of a straight line by plotting experimental drying data in terms of ln(MR) versus drying time.


## 2.8. Calculation of the Activation Energy

Effective moisture diffusivity can be related with temperature by Arrhenius expression like(12)Deff=D0exp⁡(-EaR(T+273.15)),
where D0 is a constant in the Arrhenius equation (m2/s), Ea is the activation energy (kJ/mol), T is temperature of air (°C), and R is the universal gas constant (kJ/mol K). Equation (12) can be rearranged into form of
(13)ln⁡(Deff)=ln⁡(D0)-EaR(T+273.15).


## 3. Results and Discussion

### 3.1. Drying Curves

Curves of moisture content versus drying time for pretreated and control samples are presented in Figure1. It is apparent that moisture content and drying rate decrease continuously with the drying time. Figure 2 shows the changes in the drying rate as a function of moisture content at 40, 50, 60, and 70°C. As shown in these figures, the falling-rate period was mostly observed in both mushroom samples at different drying temperature. It means that the physical mechanism governing moisture movement in the samples is dominated by the diffusion of water vapor or bound water through the dry tissue to the drying air at a rate slower than the evaporation rate from the surface [23]. Results are in good agreement with the earlier observations of drying of various products [4, 14, 24, 25].Figure 1
Drying curves of mushroom slices with a citric acid solution or without treatment at different temperatures.Figure 2
Drying rate versus moisture content of mushroom slices at different temperatures.


### 3.2. Influence of Pretreatment

Pretreatment is an important parameter that affects drying time (Figure1). Samples dipped in a citric acid solution prior to drying had a shorter drying time compared to control samples. They reach a final water content (0.085 ± 0.05 kg water/kg dry matter) for control samples; 795 min of drying at 40°C were needed, while mushroom slices treated with a citric acid solution reached this water content after 660 min. The difference in drying times was close to 16.98%. These results show that citric acid solution contributed to increasing the permeability of the cell membranes of mushroom slices, leading to an increase in moisture diffusivity. Similar trends were observed at drying temperatures of 50, 60, and 70°C. The observed treatment effects on drying characteristics have also been reported in previous investigations of different agricultural products [9, 26–28].


### 3.3. Fitting of Drying Curves

The moisture content data observed by hot-air drying experiments are converted into the moisture ratio (3) and fitted to the four models listed in Table 1. Nonlinear regression was used to obtain each parameter value of every model. The best model describing the thin-layer drying characteristics of mushroom slices was chosen as the one with the highest R2 values and the lowest χ2 and RMSE values. Statistical results from models are summarised in Table 2. The results from Table 2, the statistical parameter estimations showed that R2, χ2, and RMSE values were ranged from 0.9771 to 0.9995, 0.000049 to 0.002553, and 0.018324 to 0.221051, respectively. The logarithmic model was found the best for describing the drying kinetics of mushroom slices with R2, χ2, and RMSE ranging between 0.9961 and 0.9995, 0.000049 and 0.000444, 0.018324 and 0.090161, respectively. Figure 3 compares experimental data with those fitted data from the logarithmic model for mushroom slices at different temperatures. It can be seen that there was a very good agreement between the experimental and predicted moisture ratio values, which are closely banding around at a 45° straight line.Table 2
Curve fitting criteria for the various mathematical models and parameters for mushroom slices at different temperatures.
Code
Temperature (°C)
Model
R
2
χ
2
RMSE
Citric acid
40
Lewis
0.9844
0.001249
0.181546
Henderson and Pabis
0.9845
0.001194
0.182420
Logarithmic
0.9973
0.000224
0.080368
Page
0.9889
0.000908
0.167929
50
Lewis
0.9908
0.000822
0.113490
Henderson and Pabis
0.9915
0.000794
0.112049
Logarithmic
0.9993
0.000060
0.026051
Page
0.9956
0.000411
0.070580
60
Lewis
0.9914
0.000812
0.097675
Henderson and Pabis
0.9935
0.000650
0.084503
Logarithmic
0.9995
0.000049
0.018324
Page
0.9981
0.000185
0.044422
70
Lewis
0.9771
0.002553
0.157871
Henderson and Pabis
0.9837
0.001961
0.136013
Logarithmic
0.9966
0.000444
0.058682
Page
0.9991
0.000103
0.029955
Control
40
Lewis
0.9825
0.001210
0.213416
Henderson and Pabis
0.9830
0.001233
0.213416
Logarithmic
0.9961
0.000285
0.090161
Page
0.9828
0.001250
0.221051
50
Lewis
0.9901
0.000841
0.119178
Henderson and Pabis
0.9906
0.000830
0.119774
Logarithmic
0.9991
0.000081
0.036355
Page
0.9936
0.000561
0.101358
60
Lewis
0.9835
0.001438
0.161877
Henderson and Pabis
0.9839
0.001469
0.162814
Logarithmic
0.9974
0.000249
0.058673
Page
0.9893
0.000978
0.119158
70
Lewis
0.9807
0.001941
0.156257
Henderson and Pabis
0.9841
0.001703
0.147527
Logarithmic
0.9985
0.000169
0.040552
Page
0.9959
0.000432
0.063337Figure 3
Comparison of experimental and predicted moisture ratio values using logarithmic model.


### 3.4. Effective Moisture Diffusivity

The determined values of the effective moisture diffusivity are shown in Figure4 and were found to range between 1.70 × 10-10m2/s and 7.12 × 10-10m2/s. As expected, effective moisture diffusivity increased with increase in drying temperature; it was also observed that the effective moisture diffusivity values were higher for pretreated samples as compared to control samples (Figure 4). The pretreatment solution has probably affected the internal mass transfer during drying. The values of Deff obtained from this study lie within in general range 10−12 to 10-8m2/s for drying of food materials [29]. Similar observations have been reported by other researchers [4, 30].Figure 4
Variation of effective moisture diffusivity with drying air temperature.


### 3.5. Activation Energy

The activation energy was calculated by plotting ln(Deff) versus the reciprocal of the temperature (1/(T + 273.15)) and presented in Figure 5. Equations (14) and (15) show the effect of temperature on Deff of the control and pretreated samples with following coefficients:control:(14)Deff=1.264×10-4exp⁡(-4215.5(T+273.15))(R2:0.9677)citric acid:(15)Deff=3.533×10-4exp⁡(-4475.6(T+273.15))(R2:0.9813).The activation energy values were found to be 35.04 and 37.21 kJ/mol for control and pretreated samples, respectively. The values of activation energy lie within the general range of 12.7–110 kJ/mol for food materials [29].Figure 5
Arrhenius-type relationship between effective moisture diffusivity and reciprocal absolute temperature.


### 3.6. Rehydration Characteristics

Rehydration is an important quality attribute for dried products. The rehydration characteristics indicate the physical and chemical changes during drying as influenced by processing conditions, pretreatment, and composition of samples [31]. The values of rehydration ratio at different rehydration temperatures, calculated from (1), are shown in Figure 6. It was observed that the rehydration ratio of pretreated samples resulted in the highest rehydration, compared to the control samples.Figure 6
Rehydration ratio versus time at rehydration temperatures of 25 and 50°C for mushroom slices dried at 40°C.


## 3.1. Drying Curves

Curves of moisture content versus drying time for pretreated and control samples are presented in Figure1. It is apparent that moisture content and drying rate decrease continuously with the drying time. Figure 2 shows the changes in the drying rate as a function of moisture content at 40, 50, 60, and 70°C. As shown in these figures, the falling-rate period was mostly observed in both mushroom samples at different drying temperature. It means that the physical mechanism governing moisture movement in the samples is dominated by the diffusion of water vapor or bound water through the dry tissue to the drying air at a rate slower than the evaporation rate from the surface [23]. Results are in good agreement with the earlier observations of drying of various products [4, 14, 24, 25].Figure 1
Drying curves of mushroom slices with a citric acid solution or without treatment at different temperatures.Figure 2
Drying rate versus moisture content of mushroom slices at different temperatures.


## 3.2. Influence of Pretreatment

Pretreatment is an important parameter that affects drying time (Figure1). Samples dipped in a citric acid solution prior to drying had a shorter drying time compared to control samples. They reach a final water content (0.085 ± 0.05 kg water/kg dry matter) for control samples; 795 min of drying at 40°C were needed, while mushroom slices treated with a citric acid solution reached this water content after 660 min. The difference in drying times was close to 16.98%. These results show that citric acid solution contributed to increasing the permeability of the cell membranes of mushroom slices, leading to an increase in moisture diffusivity. Similar trends were observed at drying temperatures of 50, 60, and 70°C. The observed treatment effects on drying characteristics have also been reported in previous investigations of different agricultural products [9, 26–28].


## 3.3. Fitting of Drying Curves

The moisture content data observed by hot-air drying experiments are converted into the moisture ratio (3) and fitted to the four models listed in Table 1. Nonlinear regression was used to obtain each parameter value of every model. The best model describing the thin-layer drying characteristics of mushroom slices was chosen as the one with the highest R2 values and the lowest χ2 and RMSE values. Statistical results from models are summarised in Table 2. The results from Table 2, the statistical parameter estimations showed that R2, χ2, and RMSE values were ranged from 0.9771 to 0.9995, 0.000049 to 0.002553, and 0.018324 to 0.221051, respectively. The logarithmic model was found the best for describing the drying kinetics of mushroom slices with R2, χ2, and RMSE ranging between 0.9961 and 0.9995, 0.000049 and 0.000444, 0.018324 and 0.090161, respectively. Figure 3 compares experimental data with those fitted data from the logarithmic model for mushroom slices at different temperatures. It can be seen that there was a very good agreement between the experimental and predicted moisture ratio values, which are closely banding around at a 45° straight line.Table 2
Curve fitting criteria for the various mathematical models and parameters for mushroom slices at different temperatures.
Code
Temperature (°C)
Model
R
2
χ
2
RMSE
Citric acid
40
Lewis
0.9844
0.001249
0.181546
Henderson and Pabis
0.9845
0.001194
0.182420
Logarithmic
0.9973
0.000224
0.080368
Page
0.9889
0.000908
0.167929
50
Lewis
0.9908
0.000822
0.113490
Henderson and Pabis
0.9915
0.000794
0.112049
Logarithmic
0.9993
0.000060
0.026051
Page
0.9956
0.000411
0.070580
60
Lewis
0.9914
0.000812
0.097675
Henderson and Pabis
0.9935
0.000650
0.084503
Logarithmic
0.9995
0.000049
0.018324
Page
0.9981
0.000185
0.044422
70
Lewis
0.9771
0.002553
0.157871
Henderson and Pabis
0.9837
0.001961
0.136013
Logarithmic
0.9966
0.000444
0.058682
Page
0.9991
0.000103
0.029955
Control
40
Lewis
0.9825
0.001210
0.213416
Henderson and Pabis
0.9830
0.001233
0.213416
Logarithmic
0.9961
0.000285
0.090161
Page
0.9828
0.001250
0.221051
50
Lewis
0.9901
0.000841
0.119178
Henderson and Pabis
0.9906
0.000830
0.119774
Logarithmic
0.9991
0.000081
0.036355
Page
0.9936
0.000561
0.101358
60
Lewis
0.9835
0.001438
0.161877
Henderson and Pabis
0.9839
0.001469
0.162814
Logarithmic
0.9974
0.000249
0.058673
Page
0.9893
0.000978
0.119158
70
Lewis
0.9807
0.001941
0.156257
Henderson and Pabis
0.9841
0.001703
0.147527
Logarithmic
0.9985
0.000169
0.040552
Page
0.9959
0.000432
0.063337Figure 3
Comparison of experimental and predicted moisture ratio values using logarithmic model.


## 3.4. Effective Moisture Diffusivity

The determined values of the effective moisture diffusivity are shown in Figure4 and were found to range between 1.70 × 10-10m2/s and 7.12 × 10-10m2/s. As expected, effective moisture diffusivity increased with increase in drying temperature; it was also observed that the effective moisture diffusivity values were higher for pretreated samples as compared to control samples (Figure 4). The pretreatment solution has probably affected the internal mass transfer during drying. The values of Deff obtained from this study lie within in general range 10−12 to 10-8m2/s for drying of food materials [29]. Similar observations have been reported by other researchers [4, 30].Figure 4
Variation of effective moisture diffusivity with drying air temperature.


## 3.5. Activation Energy

The activation energy was calculated by plotting ln(Deff) versus the reciprocal of the temperature (1/(T + 273.15)) and presented in Figure 5. Equations (14) and (15) show the effect of temperature on Deff of the control and pretreated samples with following coefficients:control:(14)Deff=1.264×10-4exp⁡(-4215.5(T+273.15))(R2:0.9677)citric acid:(15)Deff=3.533×10-4exp⁡(-4475.6(T+273.15))(R2:0.9813).The activation energy values were found to be 35.04 and 37.21 kJ/mol for control and pretreated samples, respectively. The values of activation energy lie within the general range of 12.7–110 kJ/mol for food materials [29].Figure 5
Arrhenius-type relationship between effective moisture diffusivity and reciprocal absolute temperature.


## 3.6. Rehydration Characteristics

Rehydration is an important quality attribute for dried products. The rehydration characteristics indicate the physical and chemical changes during drying as influenced by processing conditions, pretreatment, and composition of samples [31]. The values of rehydration ratio at different rehydration temperatures, calculated from (1), are shown in Figure 6. It was observed that the rehydration ratio of pretreated samples resulted in the highest rehydration, compared to the control samples.Figure 6
Rehydration ratio versus time at rehydration temperatures of 25 and 50°C for mushroom slices dried at 40°C.


## 4. Conclusions

The effect of pretreatment on drying of mushroom slices using hot air was studied. Drying rate and rehydration ratio of pretreated samples increased compared to control samples. Drying process occurred in the falling-rate period. To explain the drying kinetics of mushroom slices, four thin-layer drying models were compared according to theirR2, χ2, and RMSE values. Logarithmic model has shown to be the best fit to the experimental data. The values of effective moisture diffusivity were found to range between 1.70 × 10−10 and 7.12 × 10-10m2/s. The activation energy was found to be 35.04 and 37.21 kJ/mol for control and pretreated samples, respectively.



---

*Source: 453175-2014-06-05.xml*