International Journal of Polymer Science

Volume 2014 (2014), Article ID 549031, 10 pages

http://dx.doi.org/10.1155/2014/549031

Research Article

Correlation of Polymerization Conditions with Thermal and Mechanical Properties of Polyethylenes Made with Ziegler-Natta Catalysts

M. Anwar Parvez,¹ Mostafizur Rahaman,¹ M. A. Suleiman,¹ J. B. P. Soares,² and I. A. Hussein¹

¹Department of Chemical Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

²Department of Chemical Engineering, University of Waterloo, Waterloo, ON, Canada, N2L 3G1

Received 14 October 2013; Revised 23 December 2013; Accepted 25 December 2013; Published 11 February 2014

Academic Editor: Giridhar Madras

Copyright © 2014 M. Anwar Parvez et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract.

In this study, the synthesis of polyethylenes has been carried out with titanium-magnesium supported Ziegler-Natta catalysts in laboratory-scale reactors. A correlation of different polymerization conditions with thermal and mechanical properties of polyethylenes has been established. It is seen that there is lowering of molecular weight (Mw), polymer yield, and catalyst activity at high hydrogen pressure and high temperature. The Mw, polymer yield, and catalyst activity are improved with the increase in ethylene pressure. Dynamic mechanical analysis (DMA) results show that the increase in temperature and hydrogen pressure decreases storage modulus. The samples with higher Mw showed high activation energy. The melting point decreases with the increase in hydrogen pressure but increases slightly with the increase in ethylene pressure. It is seen that the increase in reaction temperature, ethylene pressure, and hydrogen pressure leads to an increase in crystallinity. The tensile modulus increases with the increase in hydrogen pressure and can be correlated with the crystallinity of polymer. The Mw has a major influence on the flow activation energy and tensile strength. But the other mechanical and thermal properties depend on Mw as well as other parameters.

1. Introduction

Polyolefins are prepared commercially using different initiator and catalysts like free radical initiators, Phillips type catalysts, and Ziegler-Natta catalysts. Among these, the heterogeneous Ziegler-Natta catalysts remain the main industrial catalysts of choice because of their remarkable ability to affect the polymerization of olefins to produce polymers of high molecular weight and ordered structure [1, 2]. A unique feature of these catalysts is the presence of more than one active site type which leads to polyolefins with broad molecular weight distributions (MWD) and stereoregularity. These distributions influence the physical properties of polyolefins and are responsible for their performance and final applications. Heterogeneous Ziegler-Natta resins dominate the polyolefin market now and will still be a major fraction of the polyolefin market in the next decade because of their versatility and low cost.

Ziegler-Natta catalysts have been used to synthesize polyethylene and polypropylene [3, 4]. There are two types of Ziegler-Natta catalysts: one is supported type and the other is nonsupported type [5, 6]. Among the supported type Ziegler-Natta catalysts, titanium-magnesium supported Ziegler-Natta catalysts are mostly used to synthesize polyolefins [7, 8]. The final properties of synthetic polyolefins are affected by different polymerization parameters. There are many literatures where the molecular weight (Mw), molecular weight distribution (MWD), melting temperature, and % crystallinity of polyolefins are strongly dependent on polymerization parameters like hydrogen pressure, ethylene pressure, polymerization temperature, and polymerization time [9–13]. However, systematic discussions about the effect of these polymerization parameters on the polyolefins final properties like dynamic mechanical properties, thermal properties, and mechanical properties are really scanty.

The objectives of this study are to produce polyethylene with heterogeneous Ziegler-Natta catalysts in controlled laboratory-scale reactors and correlate the macroscopic properties to polymerization conditions. The effect of different polymerization conditions like hydrogen pressure, ethylene pressure, polymerization temperature, and polymerization time on molecular weight (Mw), molecular weight distribution (MWD), dynamic mechanical properties, thermal properties, and mechanical properties have been studied. Moreover, some correlations of Mw with dynamic mechanical, thermal, and tensile properties has been made and their fittings have been discussed.

2. Materials, Methods, and Experimental Techniques

2.1. Materials

All operations were performed under ultrahigh purity nitrogen (99.999%, purchased from Praxair) using standard Schlenk techniques or inside the glove box. Polymer grade ethylene (99.9%, purchased from Praxair) and ultrahigh purity nitrogen were purified by passing through columns packed with R3-11 copper catalyst, activated alumina, and 3A/4A mixed molecular sieves. Materials for catalyst synthesis such as magnesium chloride (MgCl₂, power-325 mesh) and titanium (IV) chloride (TiCl₄, 99%) were purchased from Aldrich and 2-ethyl-1-hexanol (99%) was procured from Alfa Aesar. These materials were used without further purification. The activator, triethyl aluminium (TEA, 1 M in hexane), was purchased from Aldrich. The reaction diluent, hexane (HPLC grade, 95% n-hexane), used for synthesis of the catalyst and polymerization, was purchased from J. T. Baker and purified by passing through columns packed with activated alumina and molecular sieves (Zeolum Type F-9, Tosoh Co.). Purified solvent was stored in Schlenk flasks with 3A/4A mixed molecular sieves.

2.2. Synthesis of Magnesium Supported Ziegler-Natta Catalyst

The catalyst preparation has been carried out through a typical procedure mentioned in the literature [14]. In this method, magnesium chloride (7.62 g, 0.08 mol), 2-ethyl-1-hexanol (37.5 mL, 0.24 mol), and 200 mL hexane as solvent were added to a 500 mL round flask. The mixture was stirred and refluxed for 24 hours, and then a clear solution was obtained. 0.5 mol of titanium (IV) chloride was slowly added drop wise at 30°C under a stirring rate of 700 rpm, and the mixture was additionally reacted for 2 hours. The precipitated product was filtered, washed three times with hexane, and then dried under nitrogen flow. A dried white powder was isolated at the end of the reaction. The synthetic route for the catalyst synthesis is shown in Scheme 1.

Scheme 1: Synthesis of the magnesium supported Ziegler-Natta catalyst.

2.3. Ethylene Polymerization

Ethylene polymerizations using the magnesium supported Ziegler-Natta catalyst were conducted under various reaction conditions. Polymerizations were carried out in a 300 mL semibatch autoclave reactor equipped with a mass flow meter and a temperature control unit consisting of a cooling coil and an electric heater. The polymerization temperature was maintained within ±0.2°C of the set point. Prior to each reaction, the reactor was purged five times with nitrogen, then heated to 140°C under vacuum, and purged again to the set point temperature under nitrogen flow. A volume of 200 mL solvent and the triethyl aluminium activator were transferred to the reactor and stirred for 5 minutes. The amount of triethyl aluminium was fixed at 2.0 mmol. Catalyst slurry with hexane was injected into the reactor and stirred for 10 minutes. The polymerization was performed with a continuous ethylene flow to meet the desired ethylene pressure under a stirring rate of 500 rpm. At the end of polymerization time, the reactor was rapidly vented and the obtained polymer was precipitated in 200 mL ethanol and then filtered and dried under vacuum.

2.4. Gel Permeation Chromatography (GPC)

Molecular weight and molecular weight distribution were determined by gel permeation chromatography (GPC-IR, Polymer Char). Samples were dissolved at 160°C in 1,2,4-trichlorobenzene and passed through three linear Polymer Laboratories columns which were calibrated with polystyrene standards and operated with a flow rate of 1 mL/min. Details of GPC and NMR characterization procedure have been reported elsewhere [15].

2.5. Differential Scanning Calorimetry (DSC)

The melting temperature of the polymer was determined using differential scanning calorimetry (DSC, TA Instruments DSC 2920). Two scans were performed. The first melting scan was used to erase the thermal history of the sample, followed by cooling with air. The second scan was done at a heating rate of 10°C/min and used to characterize the sample.

2.6. Dynamic Mechanical Analysis (DMA)

Dynamic mechanical analysis is a method that measures the stiffness and mechanical damping (i.e., storage and loss moduli in the solid state) of a cyclically deformed material as a function of temperature, strain, and frequency. The combination of stiffness and damping properties is a reflection of the unique viscoelastic nature of polymers. The Q800 DMA from TA Instruments was used to get the dynamic mechanical properties of the polymer samples. Single cantilever of 8 mm length fixture was used to run the DMA tests. The sample specimens were prepared in carver press using the fixed size mold. The specimen dimension was 8 mm length, 10.1 mm width, and a thickness between 0.65 and 0.75 mm. Temperature step frequency sweep test was run in strain controlled mode. The frequency range was 0.1–100 Hz and the strain was 15 micron. The temperature was varied in the range 40–80°C with a step of 10°C per each frequency sweep. The experimental data were then exported in time temperature superposition (TTS) mode to get the flow activation energy.

2.7. Mechanical Testing

The sample specimen for mechanical test was prepared using a dog-bone mold in carver press. The specimen used for the tensile tests was prepared according to ASTM D638 (Type V). The tensile tests were performed using an Instron 5567 tensile testing machine at room temperature. The gauge length was kept at 25 mm with a crosshead speed of 50 mm/min.

3. Results and Discussion

3.1. Effect of Polymerization Conditions on Molecular Weight (Mw) and Molecular Weight Distribution (MWD) of Polyethylenes

The effects of polymerization conditions on Mw and MWD of polyethylenes have been presented in Table 1. The effect of hydrogen pressure (0, 2, and 5 bar) on Mw and MWD has been reported at two different ethylene pressures (5 and 10 bar), polymerization temperatures (60 and 80°C), and polymerization times (30 and 60 min). As the hydrogen pressure is increased, while maintaining a constant polymerization temperature (60 or 80°C), polymerization time (30 or 60 min), and ethylene pressure (5 or 10 bar), it is observed that the Mw of polyethylene decreases, whereas the MWD (PDI) increases. It has been mentioned in the literature that hydrogen acts as an efficient chain transfer agent [9, 10]. Thus, an increase in hydrogen pressure leads to the termination of the polymerization reaction resulting in the lowering of molecular weight and broadening of molecular weight distribution. Our observation is in good agreement with the findings made by Moballegh and Hakim [10], where the effect of hydrogen pressure on Mw and MWD has been reported for ethylene/1-butene copolymer [10]. Both the polymer yield and catalyst activity decrease with the increase in hydrogen pressure. As mentioned earlier, hydrogen acts as chain transfer agent for the reaction; thus, an increase in hydrogen pressure leads to an increase in its concentration at the catalyst active sites. This results in a decrease in the availability of ethylene at the active catalyst sites and favours the termination of polymerization reaction. Hence, both the polymer yield and catalyst activity are reduced.

Table 1: Ethylene polymerization using Ziegler-Natta catalyst.

S/no.
Polymerization
Results

Catalyst

Temp.
Time
Yield
Activity
Mn
Mw
PDI

(mg)
(atm)
(atm)
(°C)
(hour)
(g)
(kg PE/G cat·h)
(kg/mol)
(kg/mol)
Mw/Mn

1
3.0
5
0
60
0.5
9.0
8.3
88
325
3.69

2
3.1
5
0
60
1
20.1
6.5
83
340
4.10

3
3.4
5
0
80
0.5
8.3
4.9
78
310
3.97

4
3.4
5
0
80
1
9.6
2.8
80
317
3.96

5
2.9
5
2
60
0.5
8.1
6.6
30
111
3.70

6
3.0
5
2
60
1
17.4
5.8
25
112
4.48

7
3.0
5
2
80
0.5
4.8
3.2
19
89
4.68

8
3.0
5
2
80
1
7.8
2.6
23
102
4.43

9
3.0
5
5
60
0.5
4.9
3.3
19
103
5.42

10
3.0
5
5
60
1
7.7
2.6
14
92
6.57

11
3.3
5
5
80
0.5
3.1
1.9
10
57
5.70

12
3.0
5
5
80
1
3.5
1.0
12
66
5.50

13
3.4
10
0
60
0.5
38.5
22.6
167
662
3.96

14
3.5
10
0
60
1
45.8
13.1
158
655
4.15

15
3.3
10
0
80
0.5
26.5
16.1
162
617
3.81

16
3.1
10
0
80
1
28.5
9.2
154
625
4.06

17
3.3
10
2
60
0.5
23.9
14.5
35
176
5.03

18
3.3
10
2
60
1
43.6
13.2
30
161
5.37

19
3.1
10
2
80
0.5
22.9
14.8
25
127
5.08

20
3.2
10
2
80
1
39.1
12.2
68
267
3.93

21
3.0
10
5
60
0.5
20.2
13.5
40
226
5.65

22
3.2
10
5
60
1
32.1
10.3
49
239
4.88

23
3.0
10
5
80
0.5
15.4
10.3
39
169
4.33

24
3.2
10
5
80
1
25.1
7.8
41
178
4.34

The impact of ethylene pressure (5 and 10 bar) on Mw and MWD has been reported at three different hydrogen pressures (0, 2, and 5 bar), two polymerization temperature (60 and 80°C), and two polymerization times (30 and 60 min), as can be seen from Table 1. It is seen that with the increase in ethylene pressure from 5 to 10 bar, an increase in molecular weight is observed. This result is found to be similar with previous investigations [9], where an increase in molecular weight was reported. The effect of ethylene pressure on MWD is not systematic. It has been mentioned in the literature that the monomer ethylene acts as an activator for the catalyst for the polymerization reaction [9]. Hence, with the increase in ethylene pressure, an increase in Mw is observed. The increase in ethylene pressure leads to the improvement in polymer yield and catalyst activity as observed in Table 1. The increase in ethylene pressure increases its availability at the active catalyst sites. Thus, catalyst activity increases which improves the polymer yield.

The polymerization temperature also effects the Mw of polyethylene homopolymers. It is observed from Table 1 that the increase in polymerization temperature from 60 to 80°C, there is the decrease in Mw of the resulting polymer when ethylene pressure is maintained at both 5 and 10 bar. This decrease in Mw at higher polymerization temperature is due to stronger chain transfer reaction during polymerization. The MWD (PDI) of ethylene homopolymers are not in proper order with polymerization temperature. It is seen from the table that both the polymer yield and catalyst activity decrease with the increase in polymerization temperature.

The results in Table 1 show that the increase in reaction time from 30 min to 1 hour has less impact on Mw and MWD (PDI), when the experiments are carried out at 5-bar ethylene pressure. In this case, the Mw and MWD (PDI) are irregular in nature. The irregularity in the effect of reaction time on Mw is also observed when the experiments are carried out at 10-bar ethylene pressure. These results are in agreement with the findings reported elsewhere [11]. However, the increase in polymerization time improves the polymer yield but reduces the catalyst activity as observed in Table 1. The reason is that the monomers get more time for the formation of polymer; hence, polymer yield increases. As the time increases, the concentration of ethylene monomer at the catalyst active sites decreases. Hence, the catalyst activity is reduced.

3.2. Dynamic Mechanical Analysis (DMA)

Dynamic temperature step/frequency sweep tests produce solid state dynamic mechanical properties of polymeric samples as a function of both temperature and frequency. Figure 1 shows the variation of storage modulus () with respect to frequency at different temperature for sample 5 that is at hydrogen pressure = 2 bar, ethylene pressure = 5 bar, polymerization temperature °C, and polymerization time  min. It is observed from this figure that the increase in frequency increases the of the polymer almost linearly. However, the progressive increase in temperature leads to the decrease in storage modulus. Actually, the molecular motion in polymer changes with the increase in temperature. This makes the polymer sample softer, which results in lowering of storage energy. The versus frequency plots for sample 5 has been presented in Figure 2, which shows the decrease in with the increase in frequency. On the contrary, increases with the increase in temperature. This increase in is due to the decrease in of the sample with the increase in temperature.

Figure 1: Dynamic temperature step/frequency sweep for polyethylene sample 5 synthesized at  bar,  bar, temperature = 60°C, and time = 30 min.

Figure 2: Dynamic temperature step/frequency sweep () for polyethylene sample 5 synthesized at  bar, = 2 bar, temperature = 60°C, and time = 30 min.

Figure 3 shows the effect of frequency on at hydrogen pressure (0, 2, and 5 bar) for samples 1, 5, and 9, that is, at ethylene pressure = 5 bar, polymerization temperature = 60°C, and polymerization time = 30 min, where the measurement temperature was maintained at 60°C. It is seen from the figure that the increase in hydrogen pressure reduces the . It has been mentioned earlier that hydrogen acts as an efficient chain transfer agent for the reaction. Thus, the incorporation of hydrogen leads to the formation of polymer with short chain length. This results in lowering the molecular weight and consequently reducing storage modulus. versus frequency plots at different hydrogen pressure for the samples 1, 5, and 9 has been shown in Figure 4. It is found that the value increases with the increase in hydrogen pressure at all frequency ranges. Actually, the molecular movement in low Mw polymer is higher compared to high molecular weight polymer. As (damping factor) is a measure of molecular movement (structural transformation) in polymer, hence, the increase in molecular movement in polymer will result in a higher value of . This is why the low molecular weight polymer (short chain length polymer) will have higher value of compared to the polymer with a long chain. The trends in variation in the effects of ethylene pressure and polymerization temperature on storage modulus and of the polymer have been found almost similar (not shown in the figure), the only difference is in their magnitude. A correlation of Mw with and has been established and shown in Figures 5(a) and 5(b). It is seen from the figure that increases but decreases with the increase in Mw. The coefficients of correlation () of linear fit for and are 0.90 and 0.89, respectively, a little bit away from unity. This indicates that and also depend on other parameters like polymer crystallinity.

Figure 3: Storage modulus of polyethylene synthesized at  bar, temperature = 60°C, and time = 30 minutes (samples 1, 5, and 9).

Figure 4: of polyethylene synthesized at  bar, temperature = 60°C, and time = 30 minutes (samples 1, 5, and 9).

(a)

(b)

(c)

Figure 5: Correlation of Mw with (a) , (b) , and (c) .

The activation energy () for all the samples has been extracted from the DMA data using the time temperature superposition technique (TTS). The results are presented in Table 2. It is found that the for all samples is in the range  kJ/mol. is found to increase with the increase in ethylene pressure but decrease with the increase in hydrogen pressure and polymerization temperature. The relation between and Mw has been presented in Figure 5(c). The samples with higher Mw exhibit high values of . The value of is 0.93. This suggests that the similarity of the structure resulted in similar values for .

Table 2: Activation energy for polyethylene samples.

Sample

Temp.
Time
Mw
Activation energy, Δ

(bar)
(bar)
(°C)
(hour)
(kg/mol)
(kJ/mol)

1
5
0
60
0.5
325

2
5
0
60
1
340

3
5
0
80
0.5
310

4
5
0
80
1
317

5
5
2
60
0.5
111

6
5
2
60
1
112

7
5
2
80
0.5
89

8
5
2
80
1
102

9
5
5
60
0.5
103

10
5
5
60
1
92

11
5
5
80
0.5
57

12
5
5
80
1
66

13
10
0
60
0.5
662

14
10
0
60
1
655

15
10
0
80
0.5
617

16
10
0
80
1
625

17
10
2
60
0.5
176

18
10
2
60
1
161

19
10
2
80
0.5
127

20
10
2
80
1
267

21
10
5
60
0.5
226

22
10
5
60
1
239

23
10
5
80
0.5
169

24
10
5
80
1
178

3.3. Differential Scanning Calorimeter (DSC)

The results of crystallization temperature (), melting temperature (), and % crystallinity (% ) have been extracted from the DSC experiments and are presented in Table 3 for the polyethylene samples. It is observed from the table that the of polyethylenes is not affected so much by polymerization parameters; that is, the remains in between °C. However, there is impact of polymerization parameters on and % crystallinity.

Table 3: DSC analysis for polyethylene samples.

Sample

Temp.
Time

% crystallinity

(bar)
(bar)
(°C)
(hour)
(°C)
(°C)
(Cooling)

1
5
0
60
0.5

2
5
0
60
1

3
5
0
80
0.5

4
5
0
80
1

5
5
2
60
0.5

6
5
2
60
1

7
5
2
80
0.5

8
5
2
80
1

9
5
5
60
0.5

10
5
5
60
1

11
5
5
80
0.5

12
5
5
80
1

13
10
0
60
0.5

14
10
0
60
1

15
10
0
80
0.5

16
10
0
80
1

17
10
2
60
0.5

18
10
2
60
1

19
10
2
80
0.5

20
10
2
80
1

21
10
5
60
0.5

22
10
5
60
1

23
10
5
80
0.5

24
10
5
80
1

It is seen from the table that the increase in hydrogen pressure decreases the melting point due to the decrease in Mw. A polymer with lower Mw will have lower surface area, that means lower physical attraction between the polymer chains and low [16]. On the other hand, melting point is slightly increased with the increase in ethylene pressure. At 5-bar ethylene pressure, the is in between °C, whereas, at 10-bar ethylene pressure, the range is °C. With the increase in polymerization temperature, the of polyethylene is found to decrease slightly. This is likely due to the decrease in Mw with the increase in polymerization temperature as shown in Table 1. However, the polymerization time has no effect on of the polyethylene homopolymer.

The effect of hydrogen pressure on polymer crystallinity has also been reported in Table 3. It is seen that the increase in hydrogen pressure increases the crystallinity of the polymer. In coordination polymerization, successive polymerization and crystallization take place [12]. The increase in hydrogen pressure blocks the active sites of polymerization because hydrogen acts as chain transfer agent for the reaction. Thus, the polymerization rate is reduced and crystallization rate is increased. This leads to the higher value of crystallinity with the increase in hydrogen pressure [13]. It is also observed from the table that the increase in ethylene pressure from 5 to 10 bar increases the polymer crystallinity. For sample 5 and sample 17, where the polymerization has been carried out at ethylene pressure 5 and 10 bar (constant polymerization conditions are hydrogen pressure = 2 bar, polymerization temperature = 60°C, and polymerization time = 30 min), the % crystallinity is found to be and , respectively. Thus, the increase in crystallinity in this case is around 30%. This increment in crystallinity has been found to vary according to polymerization condition. The increase in crystallinity with the increase in ethylene pressure has also been reported elsewhere though the effect is less significant [11]. In the same table, it can be seen that the increase in polymerization temperature leads to increase in crystallinity. The increase in crystallinity with respect to polymerization temperature at 5-bar ethylene pressure and 0-bar hydrogen pressure (for samples 1 and 3) is around 9%, whereas, at 5-bar ethylene and hydrogen pressure (samples 9 and 11), the increment in crystallinity is around 23%. However, at 10-bar ethylene pressure and 5-bar hydrogen pressure (for the sample sets 21 and 23), the effect of polymerization temperature on crystallinity is very marginal. Thus, it can be said that the effect of polymerization temperature on crystallinity is more significant at low ethylene pressure and high hydrogen pressure. The polymerization time has no significant effect on crystallinity as can be seen from the data presented in the same table.

An effort has been made to correlate Mw with polymer properties such as , , and % as shown in Figures 6(a)–6(c). It is observed from the figure that increases with the increase in Mw but and % decrease. The of linear fits for , , and % are 0.52, 0.49, and 0.46, respectively, far away from unity. This suggests that these parameters not only depend on Mw but also on other parameters.

(a)

(b)

(c)

Figure 6: Correlation of Mw with (a) , (b) , and (c) .

3.4. Mechanical Properties

Mechanical testing results for all the samples have been presented in Table 4. The results of mechanical testing of polyethylene can be correlated with hydrogen pressure. It is observed from the table that the tensile modulus (TM) of polyethylene increases with the increase in hydrogen pressure. The modulus at 0-bar hydrogen pressure is in the range  MPa, at 2-bar hydrogen pressure is in the range  MPa, and at 5-bar hydrogen pressure is in the range  MPa when polymerization is conditioned at 5-bar ethylene pressure. Similarly, when polymerization is conditioned at 10-bar ethylene pressure, the modulus at 0-bar hydrogen pressure is in the range  MPa, at 2-bar hydrogen pressure is in the range  MPa, and at 5-bar hydrogen pressure is in the range  MPa. Thus, the modulus value is higher when the polymerization is conditioned at higher ethylene pressure. This increase in tensile modulus can be correlated with crystallinity results shown in Table 3. It is observed that higher crystallinity leads to higher value of tensile modulus.

Table 4: Results of mechanical testing for polyethylene samples.

Sample

Temp.
Time
Modulus
Yield stress
Yield strain
Strain at break
Tensile strength

(bar)
(bar)
(°C)
(hour)
(MPa)
(MPa)
(%)
(%)
(MPa)

1
5
0
60
0.5

4

2
5
0
60
1

4

3
5
0
80
0.5

4

4
5
0
80
1

4

5
5
2
60
0.5

4

6
5
2
60
1

4

7
5
2
80
0.5

4

8
5
2
80
1

4

9
5
5
60
0.5

4

10
5
5
60
1

4

11
5
5
80
0.5

3

12
5
5
80
1

4

13
10
0
60
0.5

4

14
10
0
60
1

3.6

15
10
0
80
0.5

4.0

16
10
0
80
1

3.8

17
10
2
60
0.5

3.8

18
10
2
60
1

3.7

19
10
2
80
0.5

4

20
10
2
80
1

3

21
10
5
60
0.5

3

22
10
5
60
1

3.5

23
10
5
80
0.5

3

24
10
5
80
1

3.5

The effect of hydrogen pressure on % strain at break (% SB) has been reported in the same Table 4. The strain at break (%) is in between at 0 bar hydrogen pressure (samples 1–4), at 2 bar hydrogen pressure (samples 5–8), and at 5 bar hydrogen pressure (samples 9–12). Similarly, the strain at break (%) at 0 bar hydrogen pressure (samples 13–16) is in the range , at 2 bar hydrogen pressure (samples 17–20) is in the range , and at 5 bar hydrogen pressure (samples 21–24) is in the range . Thus, there is the increase in strain at break (%) with the increase in hydrogen and ethylene pressure. The strain at the yield point has remained in the range 3-4% as seen from the table.

The yield stress (YS) results presented in the table show some variation with hydrogen pressure. It is seen that at 0 bar (samples 1–4), 2 bar (samples 5–8), and 5 bar (samples 9–12) hydrogen pressure, the yield stress ranges are  MPa,  MPa, and  MPa, respectively. Thus, an increment in yield stress is observed with the increase in hydrogen pressure. Almost similar type of results is obtained for the sample sets 13–16 (0-bar hydrogen pressure), 17–20 (2-bar hydrogen pressure), and 21–24 (5-bar hydrogen pressure). The effect of ethylene pressure on yield stress is less significant compared to hydrogen pressure as is observed from the table. However, the effects of polymerization temperature and time on yield stress are marginal. The tensile strength (TS) results reported in the table show that the strength has improved with the increase in ethylene pressure. But TS decreased with the increase in hydrogen pressure, polymerization temperature, and polymerization time.

The influences of Mw on TM, TS, % SB, and YS have been shown in Figures 7(a)–7(d). The data points are more random for TM, % SB, and YS but less random for TS. There is sufficient overall improvement of TS with the increase in Mw. But overall, the other properties decrease with the increase in Mw and this decrement is marginal. The of linear fits for TM, TS, % SB, and YS are 0.59, 0.97, 0.56, and 0.54, respectively. The value for TS is almost close to unity, whereas for other parameters it is far away from unity. Thus, it can be said that TS is more dependent on Mw compared to other tensile properties. In a similar way, it can be inferred that, other than Mw, these tensile properties also depend on some other parameters like polymer crystallinity, branch chain length, branch chain content, and so forth. Thus, establishment of perfect correlation of these properties with Mw is really very difficult.

(a)

(b)

(c)

(d)

Figure 7: Correlation of Mw with (a) TM, (b) TS, (c) SB, and (d) YS.

4. Conclusions

A decrease in Mw is observed with the increase in hydrogen pressure and polymerization temperature. The role of hydrogen as chain transfer agent is responsible for this decrease in Mw. There is improvement in Mw with the increase in ethylene pressure. However, the effect of reaction time on Mw is marginal. The MWD is irregular in nature with the increase in ethylene pressure, polymerization temperature, and reaction time. The storage modulus value decreases but value increases with the increase in polymerization parameters. The activation energy for polyethylenes was in the range  kJ/mol, regardless of the differences in reaction parameters. The higher the Mw is, the higher the activation energy is. The increase in reaction temperature, hydrogen pressure, and ethylene pressure leads to increase in polymer crystallinity, tensile modulus, % elongation at break, and yield stress. The tensile strength has improved with the increase in ethylene pressure but reduced with the increase in other polymerization parameters. However, the effect of pressure is more pronounced compared to the reaction temperature. The results for the tensile modulus of polyethylene have been correlated with crystallinity results. The results show that higher crystallinity of polyethylene leads to higher modulus. Overall, strong correlations of the polymerization parameters with thermal and mechanical properties of polyethylene have been observed. The Mw of the polymers has been correlated with their thermal and mechanical properties. The fittings reveal that Mw influences more , , , and TS and less the other thermal (, , and % ) and mechanical (TM, SB, and YS) properties because these properties are not only influenced by Mw but also depend on other parameters.

Conflict of Interests

The authors declare that there is no conflict of interests regarding the publication of this paper.

Acknowledgments

The research team acknowledges the support provided by King Abdul Aziz City for Science and Technology for this research project under research Grant no. AR-27-67. The research team also acknowledges the facilities and support provided by KFUPM. The authors are also thankful to KACST project no. AR-30-291 for providing partial funding.

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