Title


Indonesian Journal of Environmental
Management and Sustainability
e-ISSN:2598-6279 p-ISSN:2598-6260

Research Paper

Box Behken design for optimization of COD removal from Palm oil mill effluent

(POME) using Reverse osmosis (RO) membrane

Muhammad Said1*, Muneer M. Ba-Abbad2, Siti Rozaimah Sheikh Abdullah3, Abdul Wahab Mohammad3,4

1Department of chemistry, Faculty of Mathematics and Science,Sriwijaya University, Indralaya, 30662,Sumatera Selatan, Indonesia
2Department of chemical Engineering, Faculty of Engineering and Petroleum, Hadhramout University of Science &Technology, Mukalla, Hadhramout,
Yemen
3Department of Chemical and Process Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 43600 Bangi,
Selangor, Malaysia
1Research Centre for Sustainable Process Technology, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 43600, Bangi,
Selangor, Malaysia

*Corresponding author e-mail: saidusman2011@gmail.com

Abstract
The optimization of COD removal from palm oil mill effluent (POME) using the Reverse Osmosis (RO) membrane was
investigated. Experimental conditions for reduce the COD value of POME were achieved successfully using the Box Behken
design. The values of affecting factors (POME concentration, pH and Transmembrane pressure were optimized according
to the polynomial regression model. The predicted conditions to produce lower COD values were found to be POME
concentration (vol. %) =28.30, pH =10.75 and Transmembrane pressure= 0.69 kPa. The predicted of COD value was 24.137
mg/l which in good agreed with experiment value as 25.763 mg/l was obtained.

Keywords
POME, RO membrane, Box Behken, COD

Received: 18 February 2019, Accepted: 1 March 2019

https://doi.org/10.26554/ijems.2019.3.1.39-46

1. INTRODUCTION

Palm oil mill effluent (POME) has been reported as a main
wastewater produced from industry of palm oil mill. The
main process of crude palm oil extraction from fruit is re-
quired to use huge amount of water which estimated 5-7.5
tons of water for produce of 1 tons of crude palm oil. Un-
fortunately, more than 50% of the water has been produced
as POME which causes to contaminate the environment
(Ahmad, 2003). The common method to handle POME is
an integrated anaerobic and aerobic pond which disadvan-
tages large area and long residence times have been reported
earlier (Yejian, 2008). Last few years, some of previous stud-
ies are trying to still this problem by including biological
and physical-chemical (Chan, 2010; Mohammed, 2014; Shak,
2014). Recently, the new method of membrane technology
has been applied for POME treatment which improved the
quality of final process effluents (Said, 2005).

The application of membrane especially Reverse Osmosis
(RO) for POME treatment has many advantages such as ca-
pability to produce clear water in relatively short amount of
time, small area and energy consumption. Higher efficiency

to reduce many parameters related to POME treatment
process quality such as BOD, COD, and, TSS to acceptable
levels set by regulatory agency (Ahmad, 2006; Wu, 2010).
Effects of several parameters such the pressure and con-
centration on the POME treatment have been investigated
experimentally for each parameter which led to increase
the experiment runs and consuming time (Wu, 2007). In
carrying out an experiments POME treatment which con-
taining many affect variables, a tool such as Response Sur-
face Methodology (RSM) is required to optimize the process
response (Mohajeri, 2010).

The Response Surface Methodology (RSM) has been
applied as a statistical technique to study of affecting process
variables and build of experimental model with interactive
variables (Muneer, 2013b). As main advantages to apply
RSM is, the higher interaction between all process variables
and lower runs of experiment which attributed to consuming
time of the process compared the traditional optimizations
(Box and Draper, 1987). For this propose, the Box Behken
design with lowest run of experiment has been selected for
other chemical process which exhibited more efficient and
accurate for the final process response (Ismail, 2005). The

https://doi.org/10.26554/ijems.2019.3.1.39-46


Said et. al. Indonesian Journal of Environmental Management and Sustainability, 3 (2019) 39-46

Figure 1. Experiment stages of POME treatment process

main objective of this work is to investigate the ability
of RSM based on the Box Behken design to optimize the
affected process variables to reduce the COD using Reverse
Osmosis (RO) membrane.

2. EXPERIMENTAL SECTION

2.1 Materials and method
Raw POME was collected from a local palm oil mill in
Selangor, Malaysia. To adjust of POME pH within the
treatment process, sodium hydroxide and hydrochloric acid
from R & M chemical, Malaysia and Merck Company respec-
tively, were used. The POME treatment process consists
of two main stages as the first pre-treatment and second
optimization was designed as shown in Fig. 1.The first stage
of pre-treatment includes Adsorption and Ultrafiltration
membrane (UF) was used to reduce suspended solids from
the raw POME. About 10 L contains different volume %
(vol. %) of raw POME concentration was feed to adsorp-
tion column using dosing pump under constant flow rate
at 2 ml/min. The POME flows downward along gravity,
and exits at the bottom of the column which was feed into
the UF membrane. The ultrafiltration pretreatment were
carried out in cross flow unit with a hollow fiber membrane.
Permeate from the UF membrane also simultaneously serves
as feed into the RO membrane. In the stage of RO mem-
brane, the POME feed was pumped through a spiral wound
(RE2012-LPF, CSM filter) and recycled back to the UF feed
reservoir. The COD values of the POME feed sample and
permeate were performed and analysed using a DR/2010
portable data logging spectrophotometer (HACH, USA).

2.2 Statistical design of experiments
In this study, the Box Behken was applied based on the
Design Expert software version 6.0. Determination of the
DOE aims to reduce the number of experiments and obtain
the optimum response (Y) according to the interaction of
all the factors (Xi) were involved. The response (Y) was
related with three factors can be described by polynomial

Equation (1):

Y = β0 +

k∑
i=1

βiXi +

k∑
i=1

βiiX
2
i +

k∑
i=1

βijXiXij + ε (1)

The relationship among the three factors mathematically
based on the second order as given in Equation (2) is:

Y = β0 + β1X1 + β2X2 + β3X3 + β11X12 + β22X22

+β33X32 + β12X1X2 + β13X1X3–β23X2X3 (2)

where,Y is the predicted response, βi is the coefficients,
βii is coefficients of the quadratic terms, βij is the coefficients
of the interactions of factors ε is random error.

The response of this study was value of COD (Y) while
the affecting factors were concentration of POME (X1), pH
of solution(X2) and Transmembrane pressure (X3). All fac-
tors and their levels affects on POME treatment process
were selected as concentration varying between 10 to 90 and
of solution adjusted between 3.0 to 11.0 using hydrochloric
acid and sodium hydroxide, while the Transmembrane pres-
sure between 0.5 to 2.5 kPa as summarized in Table 1.The
total number of experimental runs was 17 based on the Box
design and given in Table 1.The effects of the interaction
among all the factors to reduce COD value were evaluated
through an analysis of variance (ANOVA) according to ex-
perimental results. Moreover, it was important to check the
adequacy of the model using diagnostic graphs and validity
of model by comparing the predicted to experimental results
as the main steps (Muneer, 2013a,c).

Table 1. Parameters and levels of Box Behken design

Independent
Xi -1

levels
Factors 0 1

POME Concentration, (vol. %) X1 10 50 90
PH X2 3 7 11
TMP, (kPa) X3 0.5 1.5 2.5

3. RESULTS AND DISCUSSION

3.1 Model Fitting of Box Behken design
The effects of POME concentration, pH of solution and
Transmembrane pressure on the final value of COD were in-
vestigated using the quadratic polynomial model. The math-
ematical model of POME treatment optimization was esti-
mated based on the experimental results using Box Behken
design with the respective coefficients as given in Equation
(3):

Y COD = 78.36563 − 0.49438X1 − 8.46437X2 + 0.40000X3
+0.011198X21 + 0.38547X

2
2 − 1.25000X32 − 0.027594X12

+0.10831X13 + 0.52063X23 (3)

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Said et. al. Indonesian Journal of Environmental Management and Sustainability, 3 (2019) 39-46

The final model creates by the Box Behken design was
involved all the coefficients which shown as a quadratic re-
gression. The theoretical (predicted) values of final COD
using the created model were compared to experimental re-
sults as listed in Table 2. The analysis of variance (ANOVA)
results of the Box Behken model was presented in Table
3. The significance degree of the model and all the factors
(X1, X2 and X3) are estimated according to the P-value. If
this value that less than 0.050 which was considered to be
significant, and any other value that is greater than 0.050
was not significant (Jafarzadeh, 2011). The higher signifi-
cant factors of POME concentration (X1), the pH (X2) and
then Transmembrane pressure (X3) well as the interaction
between the POME concentration and the pH (X21) were
observed. However, the lack of fit of Box Behken model
with F-value of 0.9193 exhibits to be insignificant relative
to the pure error (Zhang, 2009).

Additionally, Other important terms are the accuracy
and variability of the Box Behken model, which can be
estimated according to the R-Squared (R2) value which is
between 0 to 1, with a value closer to1 being a better predic-
tion of the response (Karacan et al., 2007). The R2 of the
Box Behken model showed a higher value, which was 0.9692.
On the other hand, the Adj R-Squared (Radj) coefficient
was also found to be 0.9297, which was agreed to the R2

value. However, adequate precision term of Box Behken was
used for evaluated the predicted range of responses relative
to the associated error. For this process, the value greater
than 4 as 18.019 was found which attributed to support the
fitness of the final model (Korbahti and Rauf, 2009).These
values shows a good correlation between the all factors of
the POME treatment process using the Box design.

3.2 Adequacy Check of the Box Behken Model
Some plots to investigate the optimization POME treatment
process using the Box Behken design are given in Fig.2. The
normality term which indicates the relationship between
the student zed residuals with normal probability (Fig 2
a) showed all points were close to the line. This result
confirmed there no obvious problems with the normality
of the design based on experiments result of COD. Fig.2
b show the plot between the studentized residuals and the
predicted COD values which as random scattering of all the
points rather than a funnel-shaped pattern was obtained.
This results, confirms that the response was an original
observation of variance and no problem with the response
[20]. The values of the studentized residuals were almost at
intervals of between -3.5 to +3.5 as shown in Fig.2 c, and
the observed response value was not considered for any value
beyond these values. This model was a studentized residual
value that was lower than ± 3.5, which gives a good fitting
of the model to the response surface (Rauf et al., 2008). The
outlier of the experimental runs POME treatment process
clearly gave that all the points in the range of the outlier

Figure 2. All diagnostic plots of optimization of COD
using Box Behken design, (a) Normality, (b) studentized
residuals, (c ) Outlier T, (d) Actual and predicted.

as a good distribution for the Box Behken design model.
The actual value of the final COD from the experimental
was nearly the same as the value predicted by the model as
shown in Fig2 d, which due to the higher values of R2 and
R2adj terms.

3.3 Response Surface Plotting and Optimization of
Box Behken Model

3.3.1 Effects of concentration and pH solution on
COD value

The effects of the POME concentration and pH on the COD
value of POME treatment were investigated by the RSM
based on a Box design. The 3-D response surfaces and con-
tour graphs were used to explain the effects of the interaction
between two factors as shown in Fig. 3 (a,b). It can be
observed that the final COD value decreases as the pH was
increased from 3.0 to 11.0. This behaviour leads to changing
of surface properties of impurities in POME. At higher pH
of solution indicates to the charge of the impurities could
be equal to the charge on the surface of the membrane. The
similarity of these charges gives more hydrophilic nature of
the membrane which leads to the impurities not stick to
the membrane surface and the trapped to the bulk solution
(Ahmad et al., 2005). However, at lower pH of solution,
the attraction force between the impurities and surface of
membrane was increased. This phenomenon guides the im-
purities to easily attach to membrane surface and then pass
through the pores. The impurities was not only included the
solid particles but also the organic molecule. The existence
of organic molecule can be assumed as the COD value in
solution (Said et al., 2014).

The liner relationship between the final COD and con-

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Said et. al. Indonesian Journal of Environmental Management and Sustainability, 3 (2019) 39-46

Table 2. Experimental runs of Box Behken design with Actual and Predicted results of COD response

Std Run No. (X1) (X2) (X3) COD(mg/L) COD(mg/L)
(Actual) Predicted

1 4 10 3 1.5 54.67 53.55
2 12 90 3 1.5 108 109.96
3 10 10 11 1,5 35 33.04
4 3 90 11 1.5 70.67 71.79
5 6 10 7 0.5 32 34.5
6 14 90 7 0.5 74 73.42
7 5 10 7 2.5 36.67 37.25
8 2 50 7 2.5 96 93.5
9 17 50 3 0.5 60.33 58.96
10 9 50 11 0.5 26 25.46
11 16 50 3 2.5 65.67 66.21
12 11 50 11 2.5 39.67 41.04
13 8 50 7 1.5 48.67 43
14 7 50 7 1.5 37.33 43
15 1 50 7 1,5 33.33 43
16 13 50 7 1.5 51.67 43
17 15 50 7 1.5 44 43

Table 3. ANOVA results for quadratic model based on the Box Behken design

Source Sum Degree Mean F-value P-value
of squares of freedom square

Model 8245.45 9 916.16 24.51 0.0002
X1 4528.19 1 4528.19 121.12 < 0.0001*
X2 1720.79 1 1720.79 46.03 0.0003*
X3 260.83 1 260.83 6.98 0.0334*
X21 1351.73 1 1351.73 36.16 0.0005*
X22 160.16 1 160.16 4.28 0.0772
X23 6.58 1 6.58 0.18 0.6874
X12 77.97 1 77.97 2.09 0.1919
X13 75.08 1 75.08 2.01 0.1994
X13 17.35 1 17.35 0.46 0.5176

Residual 261.7 7 37.39
Lack of fit 27.72 3 9.24 0.16 0.9193**
Pure error 233.98 4 58.49

Total 8507.15 16

*Significant at < 0.05% level; ** Not significant, R2= 0.9692, R2adj =0.9297, Std. Dev. = 6.11, Mean=53.75, C.V= 11.38,
Adeq Precision=18.019.

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Said et. al. Indonesian Journal of Environmental Management and Sustainability, 3 (2019) 39-46

Figure 3. The effect of the concentration and pH on COD
value of POME treatment (a) 3-D, (b) contour, (c)
interaction

centration was observed. By increasing of concentration of
POME, the final COD after treatment was increased because
higher concentration of POME contained more of impurities
and organic molecules. The effects of interaction between
the POME concentration and pH to produce on lower value
of COD were shown in Fig. 3(c). Lower value of COD at
lower concentration of POME was found which less than
50 mg/l at higher pH of 11.00. However, the interaction
between the POME concentration and pH exhibits more
affecting at all values which also was confirmed by significant
of ANOVA of concentration analysis in Table 3 as p-value,
0.0005 < 0.05.

3.3.2 Effects of concentration and Transmembrane
pressure on COD value

The effects of concentration of POME and trans membrane
pressure on COD value were estimated with different sev-
eral values as presented in Fig.4. Slightly affecting of trans
membrane pressure on COD with different values especially
at lower concentration of POME (10 vol.%) was reported
in Fig. 4 (a,b). This result is probably due to the lower
concentration of POME as indicator to presence of smaller
impurities. In addition, the increase in trans membrane
pressure makes higher chance of the small particles to pass
through the membrane pores (Said et al., 2014). At the
same time, the COD value was found to increase as the
concentration of POME increased due to the presence more
amount of impurities in POME solution. To explain that
higher of COD value resulting under all values of trans-
membrane pressure for concentration more than 50 vol.%
was found to be because to presence of more impurities.
Additionally, at higher transmembrane pressure causes to
throughout membrane more amount of impurities which
attributed to increase the final COD as reported earlier [23].

Figure 4. The effect of the concentration and
Transmembrane pressure on COD value of POME
treatment (a) 3-D, (b) contour, (c) interaction

The effects of interaction between the POME concentration
and transmembrane pressure to produce on lower value of
COD were shown in Fig. 4(c). At lower POME concentra-
tion (10 vol.%), the changing in transmembrane pressure
was not affected on COD value due to lower of impurities
and organic molecules. The lower COD at lower POME con-
centration than 50 vol.% under transmembrane pressure of
0.5 kPa was observed. However, the interaction between the
POME concentration and transmembrane pressure showed
affecting at higher values.

3.3.3 Effects of Transmembrane pressure and pH
on COD value

Effects of pH and transmembrane pressure on COD value
were investigated under several varying values as shown
in Fig.5. The lower COD values of POME at higher of
11.0 and lower of 0.5 kPa for pH and transmembrane pres-
sure respectively were observed. At lower pH of 3.0 and
all transmembrane pressure range, the higher COD values
were produced. Influence of pH on COD value refers to
changing the properties of impurities in POME and mem-
brane surfaces, which at lower pH of solution, the attraction
force between the impurities and surface of membrane was
increased. This result leads to easily attach of impurities to
membrane surface and then pass through the pores which
attributed to increasing of COD value. However, the in-
fluence of transmembrane pressure also showed the COD
value increases as the pressure was increased. This results
because under higher transmembrane pressure leads to more
impurities pass through the pore membrane compare to
under lower pressure which presence of small amount of
impurities as reported in previous study (Zinatizadeh and
Mohamed, 2007). The pH of solution shows as the main

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Said et. al. Indonesian Journal of Environmental Management and Sustainability, 3 (2019) 39-46

Figure 5. The effect of the Transmembrane pressure and
pH on COD value of POME treatment (a) 3-D, (b) contour,
(c) interaction

factor was affected on the performance of POME treatment
process which reported for other treatment process earlier
(Ba-abbad et al., 2013, 2012).

3.4 Model validation of POME optimization condi-
tions

To check of Box Behken model validation is very important
to produce more stable model for POME treatment process.
The main important term use to investigate the validity of
the predicted model is desirability function (Box et al., 2005).
The maximum value of the desirability function (D=1.000
or D≈1.000) was selected to optimize of POME treatment
process. To determine factors to produce lower value of COD
within the experiment process, the optimization criteria of
RSM had five options: none, maximum, minimum, target
and within range as shown in Table 4.

The ANOVA analysis of this model, all factors of POME
concentration, pH and Transmembrane pressure were signif-
icant which each factor contributed affecting within their
range option. The minimum value of COD according to the
factor as POME concentration =28.30 vol. %, pH =10.75
and Transmembrane pressure= 0.69 kPa was to be 24.137
mg/l as shown in Fig.6.

To investigate the model validity predicted by Box Behken
design, a triplicate of experimental runs under optimum con-
ditions of all factors was achieved. The average COD results
was 25.763 mg/l was obtained which in good agreed with the
predicted by model. Accordingly, the optimization results
(comparison between the predicted and experimental results)
showed more effective and reliable to apply the Box Behken
design for reduces of COD value which was attributed to
a good interaction between the selected factors with their
ranges.

Figure 6. Predicted COD, as obtained from the RSM
based on Box Behken design under optimal conditions

4. CONCLUSIONS

In this study, the POME treatment process using reverse
osmosis membrane was optimized by Appling the response
surface method (RSM) based on the Box Behken design.
Effects of POME treatment process factors with their in-
teractions were estimated by ANOVA. Good coefficients of
R2 as 0.9692, R2adj as 0.9297 of the predicted model were
obtained. Optimum conditions for lower value of response
COD were POME concentration =28.30 vol.%, pH = 10.75
and Transmembrane pressure= 0.69 kPa. The predicted
value of COD under optimal condition was 25.763 mg/l
which showed in good agreement with the predicted by
model as 24.137 mg/l. This result evidences to support
the validity of the model was created by Box Behken de-
sign which also showed as suitable way for optimizing the
conditions POME treatment process in future.

5. ACKNOWNLEDGMENT

The authors wish to thank the Research Centre For Sustain-
able Process Technology (CESPRO) , Faculty of Engineering
and Built Environment, Universiti Kebangsaan Malaysia for
support this study under project KK-2013-003. One of the
authors (M. M. Ba-Abbad) is grateful to the Hadhramaut
University of Science &Technology, Yemen for their financial
support for his PhD study. Also one of authors (Muhammad
Said) is grateful to Universiti Kebangsaan Malaysia (UKM)
for supporting through the Beasiswa Zamalah Universiti
Penyelidikan.

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	INTRODUCTION
	EXPERIMENTAL SECTION
	Materials and method 
	Statistical design of experiments

	RESULTS AND DISCUSSION
	Model Fitting of Box Behken design
	Adequacy Check of the Box Behken Model
	Response Surface Plotting and Optimization of Box Behken Model
	Effects of concentration and pH solution on COD value 
	Effects of concentration and Transmembrane pressure on COD value
	Effects of Transmembrane pressure and pH on COD value

	Model validation of POME optimization conditions

	CONCLUSIONS
	ACKNOWNLEDGMENT