# Preparation and Sealing Processing of Sodium Alginate Based Blending Film

Authors: Liqiang Wang; Osvaldo Campanella; Bhavesh Patel; Lixin Lu
Journal: Mathematical Problems in Engineering
 (2015)

---

## Abstract

Edible packaging has been successfully used for packaging of low moisture foods such as wrappers. One of the hurdles in the use of edible packaging for moisture rich foods is its ability to successfully seal the package, which is critical due to the lower strength and elastic characteristics of edible films compared to plastic based films. Three important sealing parameters, namely, adhesive concentration, pressure, and temperature during sealing, were investigated to assess sealing performance of the edible film. The edible film was prepared from blend of three polymers (sodium alginate, sodium carboxymethyl cellulose, and gelatin) based on previous research work. The seal was evaluated for seal strength and a quadric regression model to predict seal strength as a function of adhesive concentration, pressure, and temperature during sealing was established. The model was statistically significantP
<
0.05 and an optimum combination of sealing parameters was obtained to be 24.4% adhesive concentration, 0.28 MPa pressure, and 153°C temperature. A sealing time of 1 s was used for all samples. All three factors were significant taken individually and interactions of the three factors were also significant (P
<
0.05 or 0.10) except for the interaction between adhesive concentration and sealing temperature.


---

## Body

## 1. Introduction

The increase in consumer demand for environmental-friendly food packaging and longer shelf life has encouraged further research into use of natural biopolymer materials such as packaging materials especially edible films. The biopolymers used as raw materials of edible films should be capable of forming a continuous matrix and normally are obtained from renewable and abundant sources [1]. Edible films are generally thin layers, which can be consumed, coated on a food or placed as barrier between the food and the surrounding environment to preserve its natural organoleptic properties and to prolong its shelf life [2, 3]. Most of the common edible film-forming materials can be classified as either polysaccharides based (e.g., agar [4], alginate [5], carrageenan, cellulose and their derivatives, chitin, chitosan, pectin, and starch) or proteins based (e.g., collagen, gelatin, keratin, whey, casein, zein, wheat gluten, and soy protein [2, 4–6]). Additional functional additives used in edible film making are particularly plasticizers, cross-linking agents, antioxidants, and antimicrobials agents to improve mechanical, qualitative, and organoleptic properties of the films. In the last 30 years, edible films made from a variety of natural compounds have been reported. In recent years, studies and applications of edible films on food packaging continue to increase due to the role of edible films in maintaining food quality effectively [2, 3]. However, most of these studies were focused on the mechanical properties (tensile strength and percentage elongation at break), barrier properties (against water vapor, CO2, oxygen, aromatic substances, or oils), antibacterial properties, light transmission, thermal properties, and their formation [2, 7]. Sealing property of edible films is a very important assessment index for packaging film materials which has not been investigated by many researchers. In the packaging industry, high temperature sealing is widely used to join polymeric films [7]. However, studies on seal ability and seal properties of edible film were scarce; most of the literature only reported the measurement values of sealing strength of the edible films. Kim and Ustunol [7] discussed the effect of sealing temperature, pressure, and time on seal strength of whey protein isolate and lipid emulsions based edible films. In addition, there is no information available on sealing process variables for edible films, especially in the sealing properties of using an adhesive in sodium alginate (SA)/sodium carboxymethyl cellulose (SCMC)/gelatin based blending film. One of the main problems for successful application of edible film in practical packaging application is the poor mechanical properties and sealing performance. Most of the damage to edible packaging film is observed near sealing area; thus the sealing performance of the edible films has a direct impact on the overall packaging quality. The goal of this research was to develop a sealing protocol for edible films prepared using a blend of SA/SCMC/gelatin with good mechanical properties in order to optimize the sealing parameters, namely, sealing temperature, sealing pressure, and adhesive concentration.


## 2. Materials and Methods

### 2.1. Materials

Sodium alginate was purchased from TIC Gums, Inc. (MD, USA), sodium carboxymethyl cellulose (type 7MF) was obtained from Hercules Incorporated (Delaware, USA), and gelatin (G2500) was obtained from Sigma-Aldrich (USA). Glycerol was used as plasticizer.


### 2.2. Experimental Methods

#### 2.2.1. Preparation of Film Sample

Sodium alginate, SCMC, and gelatin powders were weighed and mixed to get total weight of 4.5 g (3.0 : 1.0 : 0.5 ratio) and dissolved in 100 mL distilled water. After dispersing the dry ingredients uniformly in water, 2.25 g glycerol was added as plasticizer. The solution was heated at 50°C in hot water bath (Cole-Parmer EW-14575-12, location) heated for 2 h and mixed using a magnetic stirrer for 2 h to form a homogeneous film-forming solution [8]. Finally the solution was heated in microwave at power of 300 W for 3 minutes. Solutions were finally cooled to 25°C and mixed gently for 60 min to facilitate removal of air bubbles [9]. Afterwards, 35 mL of the film-forming solution was poured onto 16 × 18 cm polyacrylic film casting plates, followed by drying in a vacuum drying oven at 65°C for 12 h. The resulting films were peeled off from the polyacrylic plates and conditioned at 23°C and 50
±
2
% RH prior to further testing. Film samples were tested in triplicate [10].


#### 2.2.2. Film Thickness

Film thickness was determined using an IP65 Mitutoyo digital micrometer (Mitutoyo Ltd., Japan). Measurements were taken at 5 locations on the film and mean thickness was reported. The mean thickness of the SA/SCMC/gelatin-glycerol films was40
±
3
µ
m [10].


#### 2.2.3. Film Sealing and Seal Strength Determination

To facilitate the sealing of film, gelatin solution was used as an adhesive. The adhesive solution (concentration was 20–28%) was prepared by mixing the right weight of gelatin in 10 mL of deionized water for 1 h in 60°C water bath (EW-14575-12, Cole-Palmer). Film samples for sealing strength test were prepared according to the ASTM standard method D882-02 (ASTM, 2002). The film samples were cut into strips of dimensions 15 × 100 mm, and an area of 15 × 25 mm at the edge of the film strip was coated evenly on one side with 0.2 mL of the adhesive solution. Two film strips were placed on top of one another, and the area of coated gelatin adhesive solution was put together and heat-sealed at different temperature and pressure for 1 s dwell time, using a thermal heat-sealer Model SL-2 (LAKOTOOL & MF Corp., USA), and sealing width of 20 mm. The film samples were dried at room temperature (23°C) for 16 h. The sealed film samples were stored at 23°C and 50% RH following drying for at least 48 hrs until tested. Seal strength of the heat-sealed films was determined according to Standard ASTM F-88 (ASTM 2009), using an Intelligent Universal Testing Machine Model XLW-500N (Labthink, Jinan, China), at 23°C and 50% RH. Each end of the sealed film sample was clamped perpendicularly to the direction of the pull. The film sample length, that is, distance between the clamps, was 50 mm and a crosshead speed of 300 mm/min was used to test the seal strength. The sealed film sample was stretched with increasing load until it was completely stripped from the sealing part. Seal strength was recorded as the maximum force per unit width of film (N/m) required to strip the seal [7].


#### 2.2.4. Thermophysical Property of Film

The film sample was characterized thermophysically using a Q2000 Differential Scanning Calorimeter (DSC) (TA Instruments, Inc., DE, USA). The film sample (~6.0 mg) was sealed in hermetic aluminum pan and heated from −40 to 200°C at 10°C/min heating rate. The resulting thermogram was analyzed using the Universal Analysis 2000 (version 4.5a) software (TA Instruments, Inc., DE, USA); melting endotherm peak temperature was recorded as film melting temperature (the adhesive was not used for thermal tests).


#### 2.2.5. Experimental Design

A three-factor, five-level quadric regression rotation combination design was chosen to study the effects of SA/SCMC/gelatin blend films on the sealing properties. The variables range was established using the results from a single factor preliminary experiment [11]. The range for adhesive concentration was 20–28%, the sealing temperature 140–160°C, and the sealing pressure 0.2–0.4 MPa. The experiments within these ranges of independent variables appeared to work well with no seal deformation. The five levels of each variable were coded as −1.682, −1, 0, +1, and +1.682. The experimental design (Table 1) consisted of 20 design points and included 6 replications of the central point. The order of the experiments was fully randomized [10]. The results were analyzed using Design Expert 8.0 software (Stat-Ease, Inc., MN, USA).Table 1
Film sealing experiment design with coded and real values for adhesive concentration, sealing temperature, and sealing pressure along with response variable of seal strength.
Trial number
Independent variables
Response variable
Coded values
Real values
X
1
X
2
X
3
Adhesive concentration(%)
Sealing temperature(°C)
Sealing pressure(MPa)
Seal strength(N/15 mm)
1
1
1
1
26
155
0.35
21.33
2
1
1
−1
26
155
0.25
24.66
3
1
−1
1
26
145
0.35
23.13
4
1
−1
−1
26
145
0.25
19.23
5
−1
1
1
22
155
0.35
20.13
6
−1
1
−1
22
155
0.25
24.09
7
−1
−1
1
22
145
0.35
18.16
8
−1
−1
−1
22
145
0.25
20.17
9
1.682
0
0
27.364
150
0.3
19.81
10
1.682
0
0
20.636
150
0.3
16.50
11
0
1.682
0
24
158.41
0.3
23.04
12
0
1.682
0
24
141.59
0.3
21.67
13
0
0
1.682
24
150
0.384
20.63
14
0
0
1.682
24
150
0.216
23.36
15
0
0
0
24
150
0.3
25.35
16
0
0
0
24
150
0.3
24.93
17
0
0
0
24
150
0.3
25.56
18
0
0
0
24
150
0.3
24.20
19
0
0
0
24
150
0.3
24.82
20
0
0
0
24
150
0.3
24.20


## 2.1. Materials

Sodium alginate was purchased from TIC Gums, Inc. (MD, USA), sodium carboxymethyl cellulose (type 7MF) was obtained from Hercules Incorporated (Delaware, USA), and gelatin (G2500) was obtained from Sigma-Aldrich (USA). Glycerol was used as plasticizer.


## 2.2. Experimental Methods

### 2.2.1. Preparation of Film Sample

Sodium alginate, SCMC, and gelatin powders were weighed and mixed to get total weight of 4.5 g (3.0 : 1.0 : 0.5 ratio) and dissolved in 100 mL distilled water. After dispersing the dry ingredients uniformly in water, 2.25 g glycerol was added as plasticizer. The solution was heated at 50°C in hot water bath (Cole-Parmer EW-14575-12, location) heated for 2 h and mixed using a magnetic stirrer for 2 h to form a homogeneous film-forming solution [8]. Finally the solution was heated in microwave at power of 300 W for 3 minutes. Solutions were finally cooled to 25°C and mixed gently for 60 min to facilitate removal of air bubbles [9]. Afterwards, 35 mL of the film-forming solution was poured onto 16 × 18 cm polyacrylic film casting plates, followed by drying in a vacuum drying oven at 65°C for 12 h. The resulting films were peeled off from the polyacrylic plates and conditioned at 23°C and 50
±
2
% RH prior to further testing. Film samples were tested in triplicate [10].


### 2.2.2. Film Thickness

Film thickness was determined using an IP65 Mitutoyo digital micrometer (Mitutoyo Ltd., Japan). Measurements were taken at 5 locations on the film and mean thickness was reported. The mean thickness of the SA/SCMC/gelatin-glycerol films was40
±
3
µ
m [10].


### 2.2.3. Film Sealing and Seal Strength Determination

To facilitate the sealing of film, gelatin solution was used as an adhesive. The adhesive solution (concentration was 20–28%) was prepared by mixing the right weight of gelatin in 10 mL of deionized water for 1 h in 60°C water bath (EW-14575-12, Cole-Palmer). Film samples for sealing strength test were prepared according to the ASTM standard method D882-02 (ASTM, 2002). The film samples were cut into strips of dimensions 15 × 100 mm, and an area of 15 × 25 mm at the edge of the film strip was coated evenly on one side with 0.2 mL of the adhesive solution. Two film strips were placed on top of one another, and the area of coated gelatin adhesive solution was put together and heat-sealed at different temperature and pressure for 1 s dwell time, using a thermal heat-sealer Model SL-2 (LAKOTOOL & MF Corp., USA), and sealing width of 20 mm. The film samples were dried at room temperature (23°C) for 16 h. The sealed film samples were stored at 23°C and 50% RH following drying for at least 48 hrs until tested. Seal strength of the heat-sealed films was determined according to Standard ASTM F-88 (ASTM 2009), using an Intelligent Universal Testing Machine Model XLW-500N (Labthink, Jinan, China), at 23°C and 50% RH. Each end of the sealed film sample was clamped perpendicularly to the direction of the pull. The film sample length, that is, distance between the clamps, was 50 mm and a crosshead speed of 300 mm/min was used to test the seal strength. The sealed film sample was stretched with increasing load until it was completely stripped from the sealing part. Seal strength was recorded as the maximum force per unit width of film (N/m) required to strip the seal [7].


### 2.2.4. Thermophysical Property of Film

The film sample was characterized thermophysically using a Q2000 Differential Scanning Calorimeter (DSC) (TA Instruments, Inc., DE, USA). The film sample (~6.0 mg) was sealed in hermetic aluminum pan and heated from −40 to 200°C at 10°C/min heating rate. The resulting thermogram was analyzed using the Universal Analysis 2000 (version 4.5a) software (TA Instruments, Inc., DE, USA); melting endotherm peak temperature was recorded as film melting temperature (the adhesive was not used for thermal tests).


### 2.2.5. Experimental Design

A three-factor, five-level quadric regression rotation combination design was chosen to study the effects of SA/SCMC/gelatin blend films on the sealing properties. The variables range was established using the results from a single factor preliminary experiment [11]. The range for adhesive concentration was 20–28%, the sealing temperature 140–160°C, and the sealing pressure 0.2–0.4 MPa. The experiments within these ranges of independent variables appeared to work well with no seal deformation. The five levels of each variable were coded as −1.682, −1, 0, +1, and +1.682. The experimental design (Table 1) consisted of 20 design points and included 6 replications of the central point. The order of the experiments was fully randomized [10]. The results were analyzed using Design Expert 8.0 software (Stat-Ease, Inc., MN, USA).Table 1
Film sealing experiment design with coded and real values for adhesive concentration, sealing temperature, and sealing pressure along with response variable of seal strength.
Trial number
Independent variables
Response variable
Coded values
Real values
X
1
X
2
X
3
Adhesive concentration(%)
Sealing temperature(°C)
Sealing pressure(MPa)
Seal strength(N/15 mm)
1
1
1
1
26
155
0.35
21.33
2
1
1
−1
26
155
0.25
24.66
3
1
−1
1
26
145
0.35
23.13
4
1
−1
−1
26
145
0.25
19.23
5
−1
1
1
22
155
0.35
20.13
6
−1
1
−1
22
155
0.25
24.09
7
−1
−1
1
22
145
0.35
18.16
8
−1
−1
−1
22
145
0.25
20.17
9
1.682
0
0
27.364
150
0.3
19.81
10
1.682
0
0
20.636
150
0.3
16.50
11
0
1.682
0
24
158.41
0.3
23.04
12
0
1.682
0
24
141.59
0.3
21.67
13
0
0
1.682
24
150
0.384
20.63
14
0
0
1.682
24
150
0.216
23.36
15
0
0
0
24
150
0.3
25.35
16
0
0
0
24
150
0.3
24.93
17
0
0
0
24
150
0.3
25.56
18
0
0
0
24
150
0.3
24.20
19
0
0
0
24
150
0.3
24.82
20
0
0
0
24
150
0.3
24.20


## 2.2.1. Preparation of Film Sample

Sodium alginate, SCMC, and gelatin powders were weighed and mixed to get total weight of 4.5 g (3.0 : 1.0 : 0.5 ratio) and dissolved in 100 mL distilled water. After dispersing the dry ingredients uniformly in water, 2.25 g glycerol was added as plasticizer. The solution was heated at 50°C in hot water bath (Cole-Parmer EW-14575-12, location) heated for 2 h and mixed using a magnetic stirrer for 2 h to form a homogeneous film-forming solution [8]. Finally the solution was heated in microwave at power of 300 W for 3 minutes. Solutions were finally cooled to 25°C and mixed gently for 60 min to facilitate removal of air bubbles [9]. Afterwards, 35 mL of the film-forming solution was poured onto 16 × 18 cm polyacrylic film casting plates, followed by drying in a vacuum drying oven at 65°C for 12 h. The resulting films were peeled off from the polyacrylic plates and conditioned at 23°C and 50
±
2
% RH prior to further testing. Film samples were tested in triplicate [10].


## 2.2.2. Film Thickness

Film thickness was determined using an IP65 Mitutoyo digital micrometer (Mitutoyo Ltd., Japan). Measurements were taken at 5 locations on the film and mean thickness was reported. The mean thickness of the SA/SCMC/gelatin-glycerol films was40
±
3
µ
m [10].


## 2.2.3. Film Sealing and Seal Strength Determination

To facilitate the sealing of film, gelatin solution was used as an adhesive. The adhesive solution (concentration was 20–28%) was prepared by mixing the right weight of gelatin in 10 mL of deionized water for 1 h in 60°C water bath (EW-14575-12, Cole-Palmer). Film samples for sealing strength test were prepared according to the ASTM standard method D882-02 (ASTM, 2002). The film samples were cut into strips of dimensions 15 × 100 mm, and an area of 15 × 25 mm at the edge of the film strip was coated evenly on one side with 0.2 mL of the adhesive solution. Two film strips were placed on top of one another, and the area of coated gelatin adhesive solution was put together and heat-sealed at different temperature and pressure for 1 s dwell time, using a thermal heat-sealer Model SL-2 (LAKOTOOL & MF Corp., USA), and sealing width of 20 mm. The film samples were dried at room temperature (23°C) for 16 h. The sealed film samples were stored at 23°C and 50% RH following drying for at least 48 hrs until tested. Seal strength of the heat-sealed films was determined according to Standard ASTM F-88 (ASTM 2009), using an Intelligent Universal Testing Machine Model XLW-500N (Labthink, Jinan, China), at 23°C and 50% RH. Each end of the sealed film sample was clamped perpendicularly to the direction of the pull. The film sample length, that is, distance between the clamps, was 50 mm and a crosshead speed of 300 mm/min was used to test the seal strength. The sealed film sample was stretched with increasing load until it was completely stripped from the sealing part. Seal strength was recorded as the maximum force per unit width of film (N/m) required to strip the seal [7].


## 2.2.4. Thermophysical Property of Film

The film sample was characterized thermophysically using a Q2000 Differential Scanning Calorimeter (DSC) (TA Instruments, Inc., DE, USA). The film sample (~6.0 mg) was sealed in hermetic aluminum pan and heated from −40 to 200°C at 10°C/min heating rate. The resulting thermogram was analyzed using the Universal Analysis 2000 (version 4.5a) software (TA Instruments, Inc., DE, USA); melting endotherm peak temperature was recorded as film melting temperature (the adhesive was not used for thermal tests).


## 2.2.5. Experimental Design

A three-factor, five-level quadric regression rotation combination design was chosen to study the effects of SA/SCMC/gelatin blend films on the sealing properties. The variables range was established using the results from a single factor preliminary experiment [11]. The range for adhesive concentration was 20–28%, the sealing temperature 140–160°C, and the sealing pressure 0.2–0.4 MPa. The experiments within these ranges of independent variables appeared to work well with no seal deformation. The five levels of each variable were coded as −1.682, −1, 0, +1, and +1.682. The experimental design (Table 1) consisted of 20 design points and included 6 replications of the central point. The order of the experiments was fully randomized [10]. The results were analyzed using Design Expert 8.0 software (Stat-Ease, Inc., MN, USA).Table 1
Film sealing experiment design with coded and real values for adhesive concentration, sealing temperature, and sealing pressure along with response variable of seal strength.
Trial number
Independent variables
Response variable
Coded values
Real values
X
1
X
2
X
3
Adhesive concentration(%)
Sealing temperature(°C)
Sealing pressure(MPa)
Seal strength(N/15 mm)
1
1
1
1
26
155
0.35
21.33
2
1
1
−1
26
155
0.25
24.66
3
1
−1
1
26
145
0.35
23.13
4
1
−1
−1
26
145
0.25
19.23
5
−1
1
1
22
155
0.35
20.13
6
−1
1
−1
22
155
0.25
24.09
7
−1
−1
1
22
145
0.35
18.16
8
−1
−1
−1
22
145
0.25
20.17
9
1.682
0
0
27.364
150
0.3
19.81
10
1.682
0
0
20.636
150
0.3
16.50
11
0
1.682
0
24
158.41
0.3
23.04
12
0
1.682
0
24
141.59
0.3
21.67
13
0
0
1.682
24
150
0.384
20.63
14
0
0
1.682
24
150
0.216
23.36
15
0
0
0
24
150
0.3
25.35
16
0
0
0
24
150
0.3
24.93
17
0
0
0
24
150
0.3
25.56
18
0
0
0
24
150
0.3
24.20
19
0
0
0
24
150
0.3
24.82
20
0
0
0
24
150
0.3
24.20


## 3. Results and Analysis

### 3.1. Analysis of Variance

The structure of quadric regression rotation matrix and the results can be seen from Table1. The sealing variables conditions of blend films were conducted and optimized by three-factor, five-level quadric regression rotation combinational design. The test data were analyzed using the multiple regression model consisting of three factors. Preliminary analysis of the ANOVA results computed using Design Expert software (State Ease, MN, USA) using the data (Table 1) showed that even though the model was statistically significant, it had significant lack of fit. Using the diagnostic tool (Cook’s Distance) data point from trial 5 (Table 1) was removed from ANOVA analysis and the new results presented in Table 2 have nonsignificant lack of fit. In the terms of coded values, the response surfaces could be generated from the following equation:
(1)
Y
=
24
.
836
+
1.155
X
1
+
0.543
X
2
-
1.054
X
3
-
2
.
318
X
1
2
+
0.269
X
1
X
2
-
0.833
X
2
2
+
1.369
X
1
X
3
-
1.699
X
2
X
3
-
0.961
X
3
2
,where  Yrepresents the seal strength response and X
1, X
2, and X
3 represent the coded values for the three factors, namely, adhesive concentration, sealing temperature, and sealing pressure, respectively. Each of these three factors, in the order mentioned, yielded linear coefficients +1.155, +0.543, and −1.054; interaction coefficients +0.269, +1.369, and −1.699; and quadratic coefficients −2.318, −0.833, and −0.961, respectively, with a Y intercept of 24.836. The results of analysis of variance from the regression model are listed in Table 2. It shows that F
Reg
=
42.87
>
F
0.01
(
9,10
)
=
4.94 and the regression equation (1) is highly significant; F
LF
=
0.995
<
F
0.05
(
5,5
)
=
5.05 and the lack of fit (LF) of the regression equation is not significant. Therefore, (1) can be used for the prediction of the seal strength within the range of the experimental design. Further, Table 2 also shows that regression coefficients of quadratic term are all significant, which means that each of the single factors (
X
) exhibits significant quadric relationship with the seal strength. The other interactive regression coefficients of the equation have different levels of significance except for X
1
X
2 (F
X
1
X
2
=
1.31
<
F
0.1
=
3.29), which is not significant. These results show that there are interaction effects among the three factors, which coincides with practical situations.Table 2
The results of quadratic model fitting tabulated as analysis of variance for the film sealing experiment.
Source
Sum of squares
df
Mean square
F value
P value (Prob > F)
Model
123.67
9
13.74
42.87
<0.0001
Significant
A-adhesive
14.91
1
14.91
46.5
<0.0001
Significant
B-sealing temperature
3.3
1
3.3
10.28
0.0107
Significant
C-sealing pressure
12.43
1
12.43
38.77
0.0002
Significant
A
B
0.42
1
0.42
1.31
0.2827
Not significant
A
C
10.87
1
10.87
33.91
0.0003
Significant
B
C
16.74
1
16.74
52.24
<0.0001
Significant
A
∧
2
75.17
1
75.17
234.55
<0.0001
Significant
B
∧
2
9.71
1
9.71
30.31
0.0004
Significant
C
∧
2
12.91
1
12.91
40.28
0.0001
Significant
Residual
2.88
9
0.32
Lack of fit
1.28
4
0.32
0.99
0.4877
Not significant
Pure error
1.61
5
0.32Final equation in terms of actual factors follows:(2)
Seal
Strength
=
-
1228.02
+
20.262
*
Adhesive
Concentration
+
11.502
*
Sealing
Temperature
+
900.15
*
Sealing
Pressure
+
0.03
*
Adhesive
Concentration
*
Sealing
Temperature
+
13.69
*
Adhesive
Concentration
*
Sealing
Pressure
-
6.79
*
Sealing
Temperature
*
Sealing
Pressure
-
0.58
*
Adhesive
Concentration
2
-
0.03
*
Sealing
Temperature
2
-
384.28
*
Sealing
Pressure
2
.


### 3.2. Factors Significance Analysis

The data were analyzed using Design Expert 8.0 (Stat-Ease, MN, US), and the regression sum of squares of the three factors wasS
S
1
=
1
4.9, S
S
2
=
3.3, and S
S
3
=
12.4. The results showed the order of significance of each factor is adhesive concentration (X
1) > sealing pressure (X
3) > sealing temperature (
X
2
).


### 3.3. Single Factor Effect Analysis

When the other two factors were fixed at “0” coded level the regression equation gives the relationship between the third factor and the seal strength. According to Figure1, a relationship between each of the three single factors and the seal strength (Figure 1) was obtained. As seen in Figure 1, with the increase in sealing temperature, the seal strength increased up to 155°C sealing temperature and above 153°C it started to decline. This behavior was expected because the film samples show an endothermic transition in DSC thermogram, which reflects film melting at higher temperatures. The characteristic film melting temperature was 147.3°C. The inset in Figure 2 clearly shows the relationship between melting endotherm and seal strength. The seal strength increases as sealing temperature approaches melting peak temperature and keeps increasing beyond melting temperature up to 153°C. However, as temperature increased beyond 153°C, the seal strength starts to decrease. This might be explained by an increased tendency of the material to flow at temperatures beyond its melting point, which in combination with sealing pressure might lead to reduction in thickness of film in and around the sealed region which might weaken the resulting seal strength. The ascending gradient in seal strength was larger than the descending gradient; when the sealing temperature increased from 141°C to 153°C, the seal strength would increase significantly. When the seal temperature was at about 153°C, the seal strength reached the maximum. Therefore, in the actual process, the control of the sealing temperature in the optimum range could not only improve the seal strength, but also save energy.Figure 1
Line graph showing relationship between sealing strength and all three factors (adhesive concentration, sealing temperature, and sealing pressure).Figure 2
Film sealing strength and sealing temperature with the DSC thermogram for film sample.With the gradual increasing of adhesive concentration and sealing pressure, the seal strength also presented the same trend as the seal temperature. The curve of sealing pressure showed a slightly lower ascending gradient than the descending gradient. As the sealing pressure value reached about 0.28 MPa, the response value of seal strength reached the maximum. The curve of adhesive concentration had similar ascending and descending rates. When the adhesive concentration reached a value of about 24.4%, the seal strength was the highest. These results suggest that, in sealing process of this blend film, an optimum point existed when we analyze the effect of each factor individually for seal strength. These variable values either too high or too low would decrease the seal strength sharply as the sealing process of the edible blend films appears to have strict requirements on sealing temperature, sealing pressure, and adhesive concentration. Therefore, the effective control of each factor is required to obtain the optimum sealing process, which ensures maximum seal strength.


### 3.4. Interaction Analysis between Two Factors

In the regression equation (1), one factor at “0” coded level was fixed in order to analyze the interaction effect between the other two factors. The data analysis results (Table 2) show that the interaction between adhesive concentration and the sealing pressure (
X
1
X
3
) was significant and the interaction between sealing temperature and sealing pressure (
X
2
X
3
) was also very significant.


#### 3.4.1. Adhesive Concentration and Sealing Pressure(
X
1
X
3
)

The interaction of adhesive concentration and sealing pressure on the seal strength can be seen in Figures3(a) and 3(b). When the sealing temperature was fixed at 150°C, increases of sealing adhesive concentration and sealing pressure resulted in an obvious increase and then decrease of the seal strength. To obtain a better seal strength, the optimal scope of adhesive concentration should be at the coded value of 0~0.2 (real value 24%~24.4%); optimal sealing pressure should be at the coded value between −0.2 and −0.45 (real value 0.278~0.29 MPa). The effect of adhesive concentration on seal strength was more sensitive when compared to the sealing pressure. In addition, results suggest that the adhesive concentration was the most important individual factor having a significant effect on the seal strength, which is consistent with the analysis mentioned above.Sealing strength (N/15 mm) plot as a function of adhesive concentration and sealing pressure at 150°C sealing temperature. (a) Surface plot and (b) contour plot.
(a)
(b)


#### 3.4.2. Sealing Temperature and Sealing Pressure(
X
2
X
3
)

With the adhesive concentration(
X
1
) fixed at 24% Figure 4(a) shows that initial increases were followed by a decrease in film strength as sealing temperature and sealing pressure values increased. The surface plot (Figure 4) shows that as sealing temperature and sealing pressure values increased from low to high the seal strength represented by the surface increased to a peak and gradually fell indicating the interaction between these two factors. Thus, in order to have a better seal strength combinations of low sealing pressure/low sealing temperature and high sealing pressure/high sealing temperature should not be used. The contour plot (Figure 4(b)) clearly shows that within the range of variables examined the maximum seal strength can be achieved at sealing temperature of 157.5°C at a sealing pressure of 0.225 MPa. In other words, in the sealing process of the SA/SCMC/gelatin blend film, when other conditions remained unchanged, to enhance the seal strength efficiently, the combination of relatively low sealing pressures and relatively high sealing temperatures could be used for the sealing process in order to meet package requirements. This observation is also intuitively true because as temperature increases the tensile strength of the film will decrease; hence a lower sealing pressure could be used to avoid film breakage.Sealing strength (N/15 mm) plot as a function of sealing temperature and sealing pressure at 24% adhesive concentration. (a) Surface plot and (b) contour plot.
(a)
(b)


### 3.5. Optimization and Results Verification of Sealing Variables

When the values of sealing variables were estimated to maximize the seal strength(
Y
) within the limits of the independent experimental variables used as an evaluation criterion a mathematical model can be established as follows:the objective function:Y
(
X
1
,
X
2
,
X
3
)
→
max
⁡,
constraint conditions:-
2
≤
X
1
≤
2, -
2
≤
X
2
≤
2, and -
2
≤
X
3
≤
2.The Newton iterative programming method was used to calculate the radix in order to obtain the optimum technological parameter combination to provide the highest seal strength. The optimal values and calculated results are listed in Table 3. By means of the test verification, the theoretical calculated result was basically in accordance with the actual measurement result under this optimum condition and this proves that the mathematical model can be used as a guide for real life practical applications.Table 3
Values for each of the three independent factors (adhesive concentration, sealing temperature, and sealing pressure) for optimized seal strength.
Optimum values
Sealing strength (N/15 mm)
Code value
Real
Theoretical value
Measured
Adhesive concentration
0.2
24.4%
24.89
24.28
Sealing pressure
0.6
0.28 MPa
24.46
Sealing temperature
-
0.45
153°C
24.36


## 3.1. Analysis of Variance

The structure of quadric regression rotation matrix and the results can be seen from Table1. The sealing variables conditions of blend films were conducted and optimized by three-factor, five-level quadric regression rotation combinational design. The test data were analyzed using the multiple regression model consisting of three factors. Preliminary analysis of the ANOVA results computed using Design Expert software (State Ease, MN, USA) using the data (Table 1) showed that even though the model was statistically significant, it had significant lack of fit. Using the diagnostic tool (Cook’s Distance) data point from trial 5 (Table 1) was removed from ANOVA analysis and the new results presented in Table 2 have nonsignificant lack of fit. In the terms of coded values, the response surfaces could be generated from the following equation:
(1)
Y
=
24
.
836
+
1.155
X
1
+
0.543
X
2
-
1.054
X
3
-
2
.
318
X
1
2
+
0.269
X
1
X
2
-
0.833
X
2
2
+
1.369
X
1
X
3
-
1.699
X
2
X
3
-
0.961
X
3
2
,where  Yrepresents the seal strength response and X
1, X
2, and X
3 represent the coded values for the three factors, namely, adhesive concentration, sealing temperature, and sealing pressure, respectively. Each of these three factors, in the order mentioned, yielded linear coefficients +1.155, +0.543, and −1.054; interaction coefficients +0.269, +1.369, and −1.699; and quadratic coefficients −2.318, −0.833, and −0.961, respectively, with a Y intercept of 24.836. The results of analysis of variance from the regression model are listed in Table 2. It shows that F
Reg
=
42.87
>
F
0.01
(
9,10
)
=
4.94 and the regression equation (1) is highly significant; F
LF
=
0.995
<
F
0.05
(
5,5
)
=
5.05 and the lack of fit (LF) of the regression equation is not significant. Therefore, (1) can be used for the prediction of the seal strength within the range of the experimental design. Further, Table 2 also shows that regression coefficients of quadratic term are all significant, which means that each of the single factors (
X
) exhibits significant quadric relationship with the seal strength. The other interactive regression coefficients of the equation have different levels of significance except for X
1
X
2 (F
X
1
X
2
=
1.31
<
F
0.1
=
3.29), which is not significant. These results show that there are interaction effects among the three factors, which coincides with practical situations.Table 2
The results of quadratic model fitting tabulated as analysis of variance for the film sealing experiment.
Source
Sum of squares
df
Mean square
F value
P value (Prob > F)
Model
123.67
9
13.74
42.87
<0.0001
Significant
A-adhesive
14.91
1
14.91
46.5
<0.0001
Significant
B-sealing temperature
3.3
1
3.3
10.28
0.0107
Significant
C-sealing pressure
12.43
1
12.43
38.77
0.0002
Significant
A
B
0.42
1
0.42
1.31
0.2827
Not significant
A
C
10.87
1
10.87
33.91
0.0003
Significant
B
C
16.74
1
16.74
52.24
<0.0001
Significant
A
∧
2
75.17
1
75.17
234.55
<0.0001
Significant
B
∧
2
9.71
1
9.71
30.31
0.0004
Significant
C
∧
2
12.91
1
12.91
40.28
0.0001
Significant
Residual
2.88
9
0.32
Lack of fit
1.28
4
0.32
0.99
0.4877
Not significant
Pure error
1.61
5
0.32Final equation in terms of actual factors follows:(2)
Seal
Strength
=
-
1228.02
+
20.262
*
Adhesive
Concentration
+
11.502
*
Sealing
Temperature
+
900.15
*
Sealing
Pressure
+
0.03
*
Adhesive
Concentration
*
Sealing
Temperature
+
13.69
*
Adhesive
Concentration
*
Sealing
Pressure
-
6.79
*
Sealing
Temperature
*
Sealing
Pressure
-
0.58
*
Adhesive
Concentration
2
-
0.03
*
Sealing
Temperature
2
-
384.28
*
Sealing
Pressure
2
.


## 3.2. Factors Significance Analysis

The data were analyzed using Design Expert 8.0 (Stat-Ease, MN, US), and the regression sum of squares of the three factors wasS
S
1
=
1
4.9, S
S
2
=
3.3, and S
S
3
=
12.4. The results showed the order of significance of each factor is adhesive concentration (X
1) > sealing pressure (X
3) > sealing temperature (
X
2
).


## 3.3. Single Factor Effect Analysis

When the other two factors were fixed at “0” coded level the regression equation gives the relationship between the third factor and the seal strength. According to Figure1, a relationship between each of the three single factors and the seal strength (Figure 1) was obtained. As seen in Figure 1, with the increase in sealing temperature, the seal strength increased up to 155°C sealing temperature and above 153°C it started to decline. This behavior was expected because the film samples show an endothermic transition in DSC thermogram, which reflects film melting at higher temperatures. The characteristic film melting temperature was 147.3°C. The inset in Figure 2 clearly shows the relationship between melting endotherm and seal strength. The seal strength increases as sealing temperature approaches melting peak temperature and keeps increasing beyond melting temperature up to 153°C. However, as temperature increased beyond 153°C, the seal strength starts to decrease. This might be explained by an increased tendency of the material to flow at temperatures beyond its melting point, which in combination with sealing pressure might lead to reduction in thickness of film in and around the sealed region which might weaken the resulting seal strength. The ascending gradient in seal strength was larger than the descending gradient; when the sealing temperature increased from 141°C to 153°C, the seal strength would increase significantly. When the seal temperature was at about 153°C, the seal strength reached the maximum. Therefore, in the actual process, the control of the sealing temperature in the optimum range could not only improve the seal strength, but also save energy.Figure 1
Line graph showing relationship between sealing strength and all three factors (adhesive concentration, sealing temperature, and sealing pressure).Figure 2
Film sealing strength and sealing temperature with the DSC thermogram for film sample.With the gradual increasing of adhesive concentration and sealing pressure, the seal strength also presented the same trend as the seal temperature. The curve of sealing pressure showed a slightly lower ascending gradient than the descending gradient. As the sealing pressure value reached about 0.28 MPa, the response value of seal strength reached the maximum. The curve of adhesive concentration had similar ascending and descending rates. When the adhesive concentration reached a value of about 24.4%, the seal strength was the highest. These results suggest that, in sealing process of this blend film, an optimum point existed when we analyze the effect of each factor individually for seal strength. These variable values either too high or too low would decrease the seal strength sharply as the sealing process of the edible blend films appears to have strict requirements on sealing temperature, sealing pressure, and adhesive concentration. Therefore, the effective control of each factor is required to obtain the optimum sealing process, which ensures maximum seal strength.


## 3.4. Interaction Analysis between Two Factors

In the regression equation (1), one factor at “0” coded level was fixed in order to analyze the interaction effect between the other two factors. The data analysis results (Table 2) show that the interaction between adhesive concentration and the sealing pressure (
X
1
X
3
) was significant and the interaction between sealing temperature and sealing pressure (
X
2
X
3
) was also very significant.


### 3.4.1. Adhesive Concentration and Sealing Pressure(
X
1
X
3
)

The interaction of adhesive concentration and sealing pressure on the seal strength can be seen in Figures3(a) and 3(b). When the sealing temperature was fixed at 150°C, increases of sealing adhesive concentration and sealing pressure resulted in an obvious increase and then decrease of the seal strength. To obtain a better seal strength, the optimal scope of adhesive concentration should be at the coded value of 0~0.2 (real value 24%~24.4%); optimal sealing pressure should be at the coded value between −0.2 and −0.45 (real value 0.278~0.29 MPa). The effect of adhesive concentration on seal strength was more sensitive when compared to the sealing pressure. In addition, results suggest that the adhesive concentration was the most important individual factor having a significant effect on the seal strength, which is consistent with the analysis mentioned above.Sealing strength (N/15 mm) plot as a function of adhesive concentration and sealing pressure at 150°C sealing temperature. (a) Surface plot and (b) contour plot.
(a)
(b)


### 3.4.2. Sealing Temperature and Sealing Pressure(
X
2
X
3
)

With the adhesive concentration(
X
1
) fixed at 24% Figure 4(a) shows that initial increases were followed by a decrease in film strength as sealing temperature and sealing pressure values increased. The surface plot (Figure 4) shows that as sealing temperature and sealing pressure values increased from low to high the seal strength represented by the surface increased to a peak and gradually fell indicating the interaction between these two factors. Thus, in order to have a better seal strength combinations of low sealing pressure/low sealing temperature and high sealing pressure/high sealing temperature should not be used. The contour plot (Figure 4(b)) clearly shows that within the range of variables examined the maximum seal strength can be achieved at sealing temperature of 157.5°C at a sealing pressure of 0.225 MPa. In other words, in the sealing process of the SA/SCMC/gelatin blend film, when other conditions remained unchanged, to enhance the seal strength efficiently, the combination of relatively low sealing pressures and relatively high sealing temperatures could be used for the sealing process in order to meet package requirements. This observation is also intuitively true because as temperature increases the tensile strength of the film will decrease; hence a lower sealing pressure could be used to avoid film breakage.Sealing strength (N/15 mm) plot as a function of sealing temperature and sealing pressure at 24% adhesive concentration. (a) Surface plot and (b) contour plot.
(a)
(b)


## 3.4.1. Adhesive Concentration and Sealing Pressure(
X
1
X
3
)

The interaction of adhesive concentration and sealing pressure on the seal strength can be seen in Figures3(a) and 3(b). When the sealing temperature was fixed at 150°C, increases of sealing adhesive concentration and sealing pressure resulted in an obvious increase and then decrease of the seal strength. To obtain a better seal strength, the optimal scope of adhesive concentration should be at the coded value of 0~0.2 (real value 24%~24.4%); optimal sealing pressure should be at the coded value between −0.2 and −0.45 (real value 0.278~0.29 MPa). The effect of adhesive concentration on seal strength was more sensitive when compared to the sealing pressure. In addition, results suggest that the adhesive concentration was the most important individual factor having a significant effect on the seal strength, which is consistent with the analysis mentioned above.Sealing strength (N/15 mm) plot as a function of adhesive concentration and sealing pressure at 150°C sealing temperature. (a) Surface plot and (b) contour plot.
(a)
(b)


## 3.4.2. Sealing Temperature and Sealing Pressure(
X
2
X
3
)

With the adhesive concentration(
X
1
) fixed at 24% Figure 4(a) shows that initial increases were followed by a decrease in film strength as sealing temperature and sealing pressure values increased. The surface plot (Figure 4) shows that as sealing temperature and sealing pressure values increased from low to high the seal strength represented by the surface increased to a peak and gradually fell indicating the interaction between these two factors. Thus, in order to have a better seal strength combinations of low sealing pressure/low sealing temperature and high sealing pressure/high sealing temperature should not be used. The contour plot (Figure 4(b)) clearly shows that within the range of variables examined the maximum seal strength can be achieved at sealing temperature of 157.5°C at a sealing pressure of 0.225 MPa. In other words, in the sealing process of the SA/SCMC/gelatin blend film, when other conditions remained unchanged, to enhance the seal strength efficiently, the combination of relatively low sealing pressures and relatively high sealing temperatures could be used for the sealing process in order to meet package requirements. This observation is also intuitively true because as temperature increases the tensile strength of the film will decrease; hence a lower sealing pressure could be used to avoid film breakage.Sealing strength (N/15 mm) plot as a function of sealing temperature and sealing pressure at 24% adhesive concentration. (a) Surface plot and (b) contour plot.
(a)
(b)


## 3.5. Optimization and Results Verification of Sealing Variables

When the values of sealing variables were estimated to maximize the seal strength(
Y
) within the limits of the independent experimental variables used as an evaluation criterion a mathematical model can be established as follows:the objective function:Y
(
X
1
,
X
2
,
X
3
)
→
max
⁡,
constraint conditions:-
2
≤
X
1
≤
2, -
2
≤
X
2
≤
2, and -
2
≤
X
3
≤
2.The Newton iterative programming method was used to calculate the radix in order to obtain the optimum technological parameter combination to provide the highest seal strength. The optimal values and calculated results are listed in Table 3. By means of the test verification, the theoretical calculated result was basically in accordance with the actual measurement result under this optimum condition and this proves that the mathematical model can be used as a guide for real life practical applications.Table 3
Values for each of the three independent factors (adhesive concentration, sealing temperature, and sealing pressure) for optimized seal strength.
Optimum values
Sealing strength (N/15 mm)
Code value
Real
Theoretical value
Measured
Adhesive concentration
0.2
24.4%
24.89
24.28
Sealing pressure
0.6
0.28 MPa
24.46
Sealing temperature
-
0.45
153°C
24.36


## 4. Conclusions

The results of the experimental analysis showed that the sequence (from strong to weak ) of the three factors having effect on seal strength of SA/SCMC/gelatin blend films was adhesive concentration, sealing pressure, and sealing temperature. In the regression model presented previously, the effects of linear terms and the square terms on the seal strength were either significant(
P
>
0.05
) or extremely significant (
P
>
0.01
). With the increasing of level of each factor, seal strength showed first an ascending and then a descending trend. In the sealing process of SA/SCMC/gelatin blend films, each testing factor except for interaction of adhesive concentration and the sealing temperature (
X
1
X
2
) had either a significant or an extremely significant interaction with others. By optimizing the sealing conditions for seal strength (24.9 N/15 mm), the optimum parameters of sealing process obtained were as follows: sealing adhesive concentration 24.4%, sealing pressure 0.28 MPa, and sealing temperature 153°C under a sealing time of 1 s.



---

*Source: 895637-2015-02-23.xml*