Muhammad Athir Mohamed Anuar1, Nurul Aini Amran1,2, Muhammad Syafiq Hazwan Ruslan1. 1. Chemical Engineering Department, University Teknologi PETRONAS, 32610 Seri Iskandar, Perak, Malaysia. 2. HICOE-Center for Biofuel and Biochemical Research, Institute of Self-Sustainable Building, Universiti Teknologi PETRONAS, 32610 Seri Iskandar, Perak, Malaysia.
Abstract
Oil and grease remain the dominant contaminants in the palm oil mill effluent (POME) despite the conventional treatment of POME. The removal of residual oil from palm oil-water mixture (POME model) using the progressive freezing process was investigated. An optimization technique called response surface methodology (RSM) with the design of rotatable central composite design was applied to figure out the optimum experimental variables generated by Design-Expert software (version 6.0.4. Stat-Ease, trial version). Besides, RSM also helps to investigate the interactive effects among the independent variables compared to one factor at a time. The variables involved are coolant temperature, X A (4-12 °C), freezing time, X B (20-60 min), and circulation flow, X C (200-600 rpm). The statistical analysis showed that a two-factor interaction model was developed using the obtained experimental data with a coefficient of determination (R 2) value of 0.9582. From the RSM-generated model, the optimum conditions for extraction of oil from the POME model were a coolant temperature of 6 °C in 50 min freezing time with a circulation flowrate of 500 rpm. The validation of the model showed that the predicted oil yield and experimental oil yield were 92.56 and 93.20%, respectively.
Oil and grease remain the dominant contaminants in the palm oil mill effluent (POME) despite the conventional treatment of POME. The removal of residual oil from palm oil-water mixture (POME model) using the progressive freezing process was investigated. An optimization technique called response surface methodology (RSM) with the design of rotatable central composite design was applied to figure out the optimum experimental variables generated by Design-Expert software (version 6.0.4. Stat-Ease, trial version). Besides, RSM also helps to investigate the interactive effects among the independent variables compared to one factor at a time. The variables involved are coolant temperature, X A (4-12 °C), freezing time, X B (20-60 min), and circulation flow, X C (200-600 rpm). The statistical analysis showed that a two-factor interaction model was developed using the obtained experimental data with a coefficient of determination (R 2) value of 0.9582. From the RSM-generated model, the optimum conditions for extraction of oil from the POME model were a coolant temperature of 6 °C in 50 min freezing time with a circulation flowrate of 500 rpm. The validation of the model showed that the predicted oil yield and experimental oil yield were 92.56 and 93.20%, respectively.
Palm
oil
has gradually developed as an essential in the agriculture sector,
specifically for Malaysia and Indonesia.[1,2] As illustrated
in Figure , both countries
had concurred 32 and 54% of palm oil production, respectively. Palm
kernel oil and crude palm oil (CPO) are the primary outputs of the
palm oil mill procedure. Besides, palm oil contributes 42 million
tons to the global oil and grease production annually.[3,4] Despite that, the rising global need for palm aim is projected to
intensify the production of palm oil mill effluent (POME), a byproduct
of the palm oil sector. POME refers to an extremely contaminating
waste manufactured from the fresh fruit bunch (FFB) process in the
palm oil mill that is inevitable. POME is a massive amount of liquid
waste, which possesses an offensive odor, is organic in the environment,
and is nontoxic. Previous studies reported that approximately 50%
of water consumption during the palm oil extraction process is converted
into steam, while the remaining 50% is translated into POME.[5] The high value of degradable organic matter inside
raw POME might be because of the presence of unrecovered palm oil
inside it.[5]
Figure 1
World palm oil production
in 2019.
World palm oil production
in 2019.In another perspective,
high volume of residual CPO streamed into the POME pond will lower
the oil extraction rate (OER) of the palm mill because of the inadequacy
of the machines in treating FFB. In every ton of POME manufactured
by the FFB processing system, 0.7% by weight of residual oil was identified,
or specifically, 1 ton of FFB produced 0.2 ton of CPO (main product)
production and 0.75 ton of POME (byproduct).[6] To our best knowledge, the remaining 0.05 ton could include the
other main product (palm kernel) and byproducts (empty fruit bunch,
palm kernel shell, and shredded fiber).[7,8] As the demand
for palm oil has globally increased from year to year, expanding the
OER is now a vital need. In parallel, the palm oil business is also
aspiring for POME pollution decline to cultivate a greener appearance
of the organization and to establish sustainability.[6] The phenomenon is contributed by many palm oil mills, particularly
in Malaysia, who have permitted the ponding process for effluent treatment.
Nonetheless, it is a challenge for POME treatment in Malaysia to discover
a different technology to be used for the treatment. The available
treatments such as evaporation, adsorption, and the reverse osmosis
method were found to have less efficiency because they are not profitable,
and the process involved is complex.In the surge to look for
appropriate POME treatment strategies, recovering the residual oil
from POME could offer a good alternative. For instances, POME obtained
from the oil palm crushing mills in Thailand consists of elevated
chemical oxygen demand (COD) and oil in the range of 45,000 and 6000
mg/L, respectively. After the oil recovery process, more than 70%
of COD was significantly decreased, and 78% of the oil was efficiently
recovered from the POME. Therefore, the recovery of oil from POME
has shown a positive or huge reduction in the COD value of the POME
and intensifies the rate of residual oil recovery.[9]Presently, numerous separation techniques can be
employed to extract oil from POME, which encompass evaporation,[10] coagulation, adsorption method,[11] and reverse osmosis.[12] These
methods were applied to mitigate the environmental loading from oily
waste and to reduce the processing outlay.[13] However, several of the traditional oil recovery methods possess
disadvantages, which include demanding a large extent of energy and
complex process. For instance, the evaporation process would require
at least one kg of steam to disperse one kg of water content.[14] On the other hand, the physicochemical treatments
such as coagulation and adsorption require a high amount of chemicals,
which later required a proper disposal method, or else, it will again
pollute the environment.[15] Therefore, further
investigation of innovative technology is vital for recovering the
residual oil from POME to achieve the demand for green palm oil production.An innovative oil recovery process is introduced in this study,
namely, progressive freezing (PF), which has never been explored,
mainly in Malaysia. The initiative is vital to discover a new option
that can substitute the present techniques by designing a more appropriate
and competent method. PF is a technique used to concentrate a solution
by freezing or solidify one liquid component into pure solid and successively
dividing the part of the frozen solid from the concentrated liquid.
The ultimate advantage of PF is that it can maintain the thermally
sensitive materials in the concentrate because of the involvement
of low process temperatures and low-energy conditions compared to
evaporation.[16] Therefore, PF had been widely
applied for various industrial applications, for instance, application
of PF in concentrating model liquid food,[17] concentrating fruit juices,[18] concentrating
wastewater treatment,[14,19] and desalination.[20] In this study, a novel application of the PF
method has been introduced for residual oil recovery from POME. The
process is believed to extract a high quantity of oil from the effluent
because of the difference in freezing or melting points of oil and
water. In this research, the performance of the PF process signified
by the percentage of oil recovery at different operating conditions
such as coolant temperature, freezing time, and circulation flowrate
was evaluated.As observed in a previous study,[21] response surface methodology (RSM) through central composite
design (CCD) was found to provide the most effective experimental
design and optimization as well as evaluate the best effects of process
variables involved in the palm oil recovery process. RSM uses a regression
model to study the significance of the research through the obtained
experimental data. One factor at a time (OFAT) is the most popular
conventional design of experiment (DOE) used in optimizing the multivariate
system. However, the conventional approach does not include the study
of combined effect of dependent variables and it requires more experimental
runs to obtain the optimum conditions, which are considered unreliable
as compared to CCD.[22] Based on the past
research as well, optimization of PF variables for oil recovery from
POME was found to be minimal; thus, this research focuses on the investigation
of the combined effects of the coolant temperature, freezing time,
and circulation flowrate toward the percentage of oil recovery as
the response variable. The process variables were optimized using
rotatable central composite design (RCCD) along with the RSM method.
A model was developed to determine the optimum PF conditions, where
the maximum percentage of oil recovery was achieved from the model
palm oil–water mixture (POME model).
Conclusions
Palm oil–water mixture
(POME model) residual oil removal by PF was investigated using RSM
based on a RCCD. A 2FI model was proposed to correlate the batch experiment
variables for oil recovery from POME. It was found that the model
was able to predict the experimental data to high accuracy with R2 of 0.982. The interactions among the coolant
temperature, XA, and freezing time, XB, was found to have the most significant effect
on oil recovery from POME. PF process optimization was studied, and
the computed values by the models were found closer to the experimental
values. Optimum conditions to maximize the residual oil recovery were
obtained at a coolant temperature of 6 °C, freezing time of 50
min, and circulation flowrate at 500 rpm with an absolute error of
0.69%. The validation of the model showed predicted oil yield, and
experimental oil yield was 92.56 and 93.20%, respectively.
Materials and Methods
Materials
The
sample
used for this experiment was the palm oil–water mixture model,
which consists of a mixture of 6000 mg of CPO per liter of water.
This value was chosen based on literature[23] and equipment limitation. Palm oil was gathered from the bulk storage
tank (BST) of FELCRA Nasaruddin Belia Berhad, Bota Kanan, Perak. The
sample was then stored at low temperature to avoid any decomposition,
oxidation, and changes to the free fatty acid content. Because the
POME model was made, as shown in Figure , no pretreatment was needed. Few equipment
or substances were used in this experiment in order to ensure the
success of this study. The primary solution to conduct the experiment
was ethylene glycol because it has a wide range of low temperature
values, which is generally applied in the process of heat transfer.
Instead, a 50% volume ratio (v/v) of ethylene glycol and water were
mixed and utilized as the PF coolant. The composition of the coolant
was employed to facilitate the supercooling of the solution[24] and to avoid slushy form (viscous) of the ethylene
glycol–water solution.[25]
Figure 2
Palm oil–water mixture (POME model).
Palm oil–water mixture (POME model).
Experimental Setup
The choices of equipment were highly
crucial in extracting the residual
oil from the POME model. This was to ensure the achievement and to
produce the best output from the experiment. Thus, the arrangement
of the apparatus was developed from the freeze-crystallization basic
idea, which contains a peristaltic pump, refrigerant system, circulated
freeze-crystallizer, and oil and grease analyzer, as well as pH meter.
Circulated freeze-crystallizer is the primary equipment of this system,
which functions to allow solidification to take place, while the cooling
jacket provides a place for the circulating coolant around the crystallizer
body. At this time, heat was transferred from the solution inside
the crystallizer body to the coolant inside the cooling jacket. Thus,
the temperature could be controlled at the desired reading with the
help of the coolant. The body of the crystallizer is generally built
in a cylindrical shape.[26] This
is because the cylindrical shape as shown in Figure provides a smooth surface, large surface
area, and can minimize the friction between the samples. In order
to ensure a good mixture of the solution produced, a peristaltic pump
was used to circulate the sample taken. Last but not the least, an
oil and grease analyzer and pH meter were used at the end of the experiment
to measure the value before and after purification. Figure shows the experimental setup
for PF by using a circulating freeze-crystallizer (CFC).
Figure 3
Experimental
setup for PF.
Experimental
setup for PF.
Experimental Procedure
The experimental procedure began
with the preparation of the palm
oil–water sample, which had been stored beforehand. The coolant
mixture was prepared at 50% ethylene glycol and 50% distilled water,
which was then manipulated at the desired value for coolant temperature.
The CFC was connected to the refrigerant system, peristaltic pump,
and storage tank. As the desired coolant temperature was reached,
2.5 L of the sample was poured into the storage tank and the pump
flowed the sample into the cylindrical freeze-crystallizer to let
the solidification process happen. The coolant temperature from the
refrigerant system was then manipulated at various speeds.Next,
the process was stopped, the crystallizer was taken out from the system,
and the liquid mixture was transferred into a sample bottle for characterization
purposes. The sample was then measured using a TOG analyzer. This
was to study the performance of PF in recovering residues in POME.
For accurate results, the experiment was repeated thrice. Finally,
the experiment was repeated with different parameters, which were
coolant temperature, circulation flowrate and freezing time. The oil
percentage removal was calculated, as shown in eq .where Y is oil recovery (%), Y0 is the initial oil and grease value (mg L–1), and Y1 is the final oil and grease
value (mg L–1)
Design
of Experiment
In this study, the
optimization process for progressive freeze concentration of POME
solution to recover the residual oil was conducted by using RCCD,
which is the best DOE that applies RSM.[27] CCD is the experimental design which had been introduced by Box
and Wilson in 1951. CCD is one of the best designs applied in RSM.
However, this design involves selection of the right type of CCD.
The type of CCD includes spherical (SCCD), rotatable (RCCD), orthogonal
(OCCD), and face-centered (FCCD) central composite design. In this
study, the RCCD approach has been employed to determine the interaction
between the process variables and the process response. According
to the past research, the common type of CCD used is either face-centered
or rotatable.[28] One of the reasons of choosing
rotatable CCD is because of the ability to execute extreme analysis
in DOE compared to face-centered CCD. Hence, the studied range would
be much wider and reliable to observe the trends. The regression and
graphical analysis of the data obtained for the optimization process
were carried out through Design–Expert 6.0.4 software (Stat-Ease
Inc., Minneapolis, USA). There are four major steps involved in RSM
as an optimization method.First, the independent variables
of major effect on the system and the dependent variables were selected
through screening studies followed by the restriction of the experimental
region. The levels for each parameter were also defined in this step.
Second, the type of experimental design was chosen to carry out the
experimental run according to the designated value of the set of factors
or variables. Next, the obtained experimental data were tabulated
and analyzed statistically through second-order polynomial model fitting.
The model’s fitness was evaluated before the optimum values
for each studied variable were obtained. Figure shows the process block diagram of conducting
RSM.
Figure 4
Process of conducting RSM.
Process of conducting RSM.The coolant temperature (XA, °C), freezing time (XB, min),
and circulation flow (XC, rpm) were chosen
as the independent variables. The design used 2 factorial runs with 2n axial runs and replications
of center points (nc), (Myers, 1971).
Therefore, eight factorial points, six axial points, and three replicates
at the central points were used for three variables in the experiments.
Thus, the total number of runs (N) required for the
three independent variables is 17, as shown in eq . Once the desired range of the variables
was defined, they were coded to ±1 for the factorial points,
0 for center points, and ±α for the axial points (1.682).
The range and levels for independent variables and their coded and
uncoded values are presented in Table .
Table 1
Independent Variables
in Experimental
Design
levels
coolant temperature (°C), XA
freezing time (min), XB
circulation flow
(rpm), XC
–α (min)
4
20
200
–1 (low)
6
30
300
0 (mid)
8
40
400
1 (high)
10
50
500
α (max)
12
60
600
The next step in optimization through RSM is to conduct the data
analysis and model suitability check in representing the real relationship
by using analysis of variance (ANOVA). ANOVA has been used to define
the interaction between the independent variables and the response
variables. For instance, it has been used to determine the quality
of the fitted polynomial model through the coefficient of determination
(R2), and the statistical significance
was validated by conducting an F-test.
Results
and Discussion
Model Fitting
In this study, three
independent variables were investigated, and their levels are shown
in Table . The designed
experiments were conducted according to the randomized scheme, and
the result is tabulated in Table . As mentioned before, Design–Expert software
was used as a tool to study the regression analysis of experimental
data and interpret them by using ANOVA analysis. The percentage of
oil recovery (Y) was taken as the response variable
of the designed experiments.
Table 2
Rotatable CCD Experimental Design Matrix and Response
(Y) for Each Run
standard order
XA (°C)
XB (min)
XC (rpm)
Y (%)
1
6
30
300
79.0
2
10
30
300
73.0
3
6
50
300
89.0
4
10
50
300
88.2
5
6
30
500
87.0
6
10
30
500
90.6
7
6
50
500
93.2
8
10
50
500
81.2
9
4.64
40
400
84.7
10
11.36
40
400
80.5
11
8
23.18
400
86.0
12
8
56.82
400
88.2
13
8
40
231.82
84.2
14
8
40
568.18
88.9
15
8
40
400
87.0
16
8
40
400
86.5
17
8
40
400
87.2
Regression Model Equation
and ANOVA
In determining
the best model to be used for the response, the proposed model should
be considered a favorable beginning for the model fitting.[29] The proposed model by the software is the 2FI
model, which was not aliased and adequately significant to represent
the oil percentage recovery. The selection can be proved through the
relevant summary reports shown in Tables and 4, in which F-test and R2 values were observed.
Table 3
Sequential Model Sum of Squares
source
sum of squares
DF
mean square
F value
prob > F
remarks
mean
1.128 × 105
1
1.128 × 105
linear
37.40
3
12.47
1.01
0.4239
2FI
128.20
3
42.73
47.29
<0.0001
significant
quadratic
0.94
3
0.31
0.25
0.8585
cubic
6.03
3
2.01
15.45
0.0614
residual
0.26
2
0.13
total
1.13 × 105
15
7533.04
Table 4
Lack of Fit Test
source
sum of squares
DF
mean square
F value
p-value
remarks
linear
135.17
9
15.02
115.53
0.0086
2FI
6.97
6
1.16
8.93
0.1041
insignificant
quadratic
6.03
3
2.01
15.45
0.0614
cubic
0.000
0
pure error
0.26
2
0.13
In order to fit a good model, a test for significance of the regression
model and individual model coefficients with lack of fit test was
performed. The sequential models involved are mean, linear, two-factor
interactions (2FI), quadratic, and cubic models. Usually, the significant
factors were ranked based on the F-value and p-value with a 95% confidence level.[30] According to the fitted model data shown in Table , it is clearly shown that the
2FI model is significant because it fits the conditions where the p-values are less than 0.05. Meanwhile, the lack of fit
test is considered good if the model is not significant (p-value > 0.1). Based on Table , the only computed p-value that exceeds
0.1 is the model 2FI with 0.1041; thus, it is considered insignificant.
Therefore, the 2FI model has been chosen as the best model to be used
for model fitting. The final empirical model in terms of the coded
factor for residual oil recovery (Y, %) is shown
in eq where Y is oil recovery (%), XA is the coolant temperature (°C), XB is the freezing time (min), and XC is the circulation flowrate (rpm)Table shows ANOVA for oil recovery from the POME
model solution via PF. The goal of the F test is
to reject the null hypothesis (F tabulated < F calculated) at a certain confidence level. Therefore,
the null hypothesis was rejected because the F-value
for Y is higher than the tabulated F-value (F0.05,6,8 = 3.58) at 0.05 significant
level. The F-value of 30.55 indicates that the model
is significant. Additionally, the model terms are significant only
when the p-value is less than 0.05. In this case, XA, XC, XAXB, XAXC, and XBXC are significant model terms.
The “lack of fit F-value” of 8.93 implies
that the “lack of fit” is not significant relative to
the pure error. There is only 10.41% chance that a “lack of
fit F-value” occurs because of noise.
Table 5
ANOVA for the Response Surface 2FI Model
for Oil Recovery from the POME Model
source
sum of squares
DF
mean square
F value
prob > F (p-value)
remarks
model
165.60
6
27.60
30.55
<0.0001
significant
XA
2.66
1
2.66
2.95
0.1244
XB
3.83
1
3.83
4.24
0.0735
XC
10.06
1
10.06
11.13
0.0103
significant
XAXB
69.45
1
69.45
76.86
<0.0001
significant
XAXC
32.70
1
32.70
36.18
0.0003
significant
XBXC
10.24
1
10.24
11.33
0.0098
significant
residual
7.23
8
0.90
lack of fit
6.97
6
1.16
8.93
0.1041
insignificant
pure error
0.26
2
0.13
cor
total
172.83
14
std.
dev
0.95
adj R-squared
0.9268
mean
86.73
pred R-squared
0.7092
R-squared
0.9582
adeq precision
22.966
Figure shows the
actual and predicted percentage of residual oil recovery. It was found
that the coefficient of determination, R2, and adjusted R2 were 0.9582 and 0.9268,
respectively, as shown in Table . The value is considered acceptable because it is
very close to unity. The value of R2 describes
the closeness of the selected model to the experimental data points.
Meanwhile, the adjusted R2 measures the
amount of variation about the mean explained by the model. The predicted R2 value of 0.7092 is not as close to the adjusted R2 value. The finding might indicate a significant
block effect or potential problem with the model or laboratory data.[31] Issues to be addressed are model reduction,
response transformation, experimental run repetition, and outliers. Table shows an adequate
precision greater than 4 (22.966), which portrays adequate model discrimination.
Figure 5
Predicted vs
actual values
plot for oil recovery (%).
Predicted vs
actual values
plot for oil recovery (%).
Effect of Independent
Variables
As mentioned earlier, RCCD by RSM was used to study
the individual and interaction effects of the three independent variables
on residual oil recovery from POME model solution. The three-dimensional
response surface plots for the results achieved are shown in Figures , 7 and 8 where each shows the combined
effect of the experimental parameters. Based on ANOVA analysis, circulation
flowrate (XC) was found to have the main
impact on the residual oil recovery from the POME model solution in
comparison to the other variables. The finding is illustrated by the
high F value of 11.13 for the circulation flowrate.
Meanwhile, the coolant temperature and freezing time have been found
to not have a significant positive impact on the oil recovery to high p-values (>0.05).
Figure 6
3D surface plot of combined
effect of coolant
temperature and freezing time at a circulation flowrate of 500 rpm.
Figure 7
3D surface
plot of a combined effect of coolant temperature and circulation flowrate
at a constant freezing time of 50 min.
Figure 8
3D surface
plot of combined
effect of freezing time and circulation flowrate at a constant coolant
temperature of 6 °C.
3D surface plot of combined
effect of coolant
temperature and freezing time at a circulation flowrate of 500 rpm.3D surface
plot of a combined effect of coolant temperature and circulation flowrate
at a constant freezing time of 50 min.3D surface
plot of combined
effect of freezing time and circulation flowrate at a constant coolant
temperature of 6 °C.However, all the interactions
between the variables were found to be significant on the oil recovery.
The interaction between the coolant temperature and freezing time
(XAXB) demonstrated
the major effect on the response variable as compared to the other
interactions (XAXC and XBXC) provided by the high F value of 76.86.[32]Figure shows the change of the percentage of residual oil recovery concerning
coolant temperature and freezing time which is depicted at a fixed
circulation flow speed of 500 rpm. In this experiment, the coolant
temperature and freezing time were varied from 4 to 12 °C and
20 to 60 min, respectively. It was observed that with the increment
of freezing time to 50 min and coolant temperature at 6 °C, the
percentage of oil recovery reached the maximum at 92.56%. Therefore,
at a lower coolant temperature and long period of freezing time, the
amount of residual oil recovered was higher than that at a higher
temperature. As indicated in Figure , the increase in oil recovery caused by the increase
of freezing time at a constant coolant temperature was greater than
the increase of coolant temperature at a constant freezing time. Theoretically,
a lower temperature leads to a decrease in the oil and grease value
in the liquid phase. Coolant temperature is highly related to the
freezing rate, thus making it an important parameter in the PF. In
another study by Yahya et al. (2015), decreasing the coolant temperature
from 29 to 24 °C enhanced the quality of iodine value (IV) of
olein and lowering the effective partition constant (K) resulted in more soluble solids to remain in the concentrate.[33] This leads to a higher purity of ice solids.
The interaction between the temperature and time was the most effective
parameter in this study.Figure shows the surface plot for the oil recovery as a function
of coolant temperature and circulation flowrate (XAXC) at a constant freezing
time of 50 min. The residual oil shows a slowly decreasing trend with
coolant temperature, whereas it increases gradually with the increase
of flow speed. In this PF process, the peristaltic pump had been used
to ensure a proper flow and mixing inside the crystallizer. Thus,
the circulation flowrate plays a critical role to increase oil removal
from the solution. As can be observed, when the flow speed was less
than 300 rpm, the amount of oil extracted was low (73%). The result
may be because the POME model solutions do not mix well, which later
can decrease the production of ice in the PF process.On the
other hand, the higher speed of the pump causes higher residual oil
to be obtained through the PF process.[33] The result is consistent with the previous report by Ojeda et al.
(2017), where the study used a sequence of increasing stirring speed
of 0, 500, 800, and 2100 rpm for progressive freeze concentration
of sucrose solution and concluded that the best value of the concentration
index was obtained at a higher stirring speed (800 rpm).[34] This result is explained by the increasing mass
transfer rate of solutes from the ice front to the liquid fraction
because of the fluid motion.[35,36] However, the highest
speed (2100 rpm) does not substantially enhance the final concentration
acquired, which as a result of higher heat produced at high agitation
and the increases in viscosity affects the energy balance in the ice
formation. In this study, speed is the most influential factor to
be controlled in order to get a higher percentage of oil recovery.Figure shows the
combined effect of freezing time (XB)
and circulation flowrate (XC) on residual
oil recovery at a constant coolant temperature of 6 °C. From
the plot, it can be seen that the interaction between freezing time
and pump speed has insignificant effects on oil recovery from the
POME model, represented by the low value of the F value (11.33) as compared to the other interactions. The 3D surface
plot reveals that the oil yield increased, reaching a maximum of 92.56%
at the highest value of freezing time (50 min) and circulation flowrate
(500 rpm). In other words, the percentage of oil recovery increased
with the increase in the freezing time and pump speed. In the PF process,
the longer freezing time could provide higher concentration efficiency.[37] By thoroughly controlling the duration per run
of the PF process, the highest purity of solids could be obtained.
If concentration of the solute in the concentrate is considered, the
longer duration could produce higher solute concentration in the concentrate,
in which higher efficiency is achieved.[38] Moreover, Amran et al. (2018) reported the same results where the
highest solute recovery (96%) with the lowest effective partition
constant (K) was obtained at 50 min circulation time.[39] A thicker layer of solids was obtained through
longer the freezing time.
Selection of Optimal Levels
and Estimation of the Optimum Response
Characteristic
The main objective of this experimental study
is to optimize the separation conditions in order to get oil recovery
from POME. Optimization of the PF parameter was carried out using
a numerical optimization method. Figures and 10 show the response
surface and contour plot obtained at the optimum PF condition, represented
by the maximum oil recovery. The optimum operating conditions for
residual oil recovery from the POME model by the PF process were observed
at the coolant temperature of 6 °C, freezing time of 50 min,
and circulation flowrate of 500 rpm. The optimum conditions obtained
in this study aligned with the past studies, where the lower coolant
temperature, higher freezing time, and circulation flowrate are favorable
in the PF process.[40,41] The predicted and experimental
values for the residual oil recovery from the POME model were obtained
as 92.56 and 93.2% at optimum conditions, respectively. The results
achieved are relevant to another optimization study of enzymatic sludge
palm oil recovery reported by Norhayati (2013), where 81.95% residual
oil was recovered with an R-squared value of 0.852.[21] A comparison between predicted and experimental
results has been made to check the accuracy of the proposed optimum
conditions and the developed model. The results indicate that the
error was less than 0.69%, and it was concluded that the results obtained
agree quite well with the predicted ones. The detail of optimization
is shown in Table .
Figure 9
Optimal region on the
coolant temperature and
freezing time for maximization of oil recovery from POME.
Figure 10
Contour plot
of coolant temperature and freezing time on oil recovery at optimum
conditions.
Table 6
Experimental and
Predicted Value of Oil Recovery, Y at Optimum Operating
Conditions
parameters
optimum conditions
coolant temperature (°C), XA
6
freezing time (min), XB
50
circulation flowrate (rpm), XC
500
oil recovery (%), Y
predicted
92.56
experimental
93.20
Optimal region on the
coolant temperature and
freezing time for maximization of oil recovery from POME.Contour plot
of coolant temperature and freezing time on oil recovery at optimum
conditions.