Kinetics of theessential oil extraction from different plants (sweet orange, pomelo, and
lemongrass) using steam distillation were developed on the basis of semi-theoretical models.
The results showed that all models selected are in a good agreement with experimental data.
Howerver, the Patriicelli model, in which both washing and desorption steps were accounted for,
can capture wellthe extraction kinetics of all materials (sweet orange, pomelo, and lemongrass)
considered in the present work. The proposed mathematical models can be useful for the process
design of large scale systems and for the purpose of process control.
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Vietnam Journal of Science and Technology 56 (4A) (2018) 182-189
MODELING OF ESSENTIAL OIL EXTRACTION PROCESS:
APPLICATION FOR ORANGE, POMELO, AND LEMONGRASS
Nguyen Dang Binh Thanh, Nguyen Trung Dung, Ta Hong Duc*
Hanoi University of Science and Technology, No. 1 Dai Co Viet road, Ha Noi
*Email: duc.tahong@hust.edu.vn
Received: 17 July 2018; Accepted for publication: 6 October 2018
ABSTRACT
In this study, the kinetic models of steam distillation of orange (Citrus sinensis (L.)
Osbeck), pomelo (Citrus grandis L.), and lemongrass (Cymbopogoncitratus) for the recovery of
essential oils were developed. The model parameters wereestimated based on experimental data
and comprehensive kinetic mechanismsof the solid-liquid extraction process. Numerical results
showed that, the extraction mechanism of the three materials were best fit to the Patricelli two-
stage model in which the diffusion of the oil was followed by the washing step. Moreover, the
model parameters obtained from the measured data reflected clearly the nature of the two-stage
extraction at which the kinetic rate of the washing step (surface extraction) was higher than that
of in-tissue diffusion step. Thus, the kinetics of the extraction processes obtained from the
present work could be usedfor the scale-up of the extraction process operating at a large scale
and for the purpose of process control as well.
Keywords: essential oil, steam distillation, modeling, optimization, kinetic.
1. INTRODUCTION
Essential oilsextracted from sweet orange (Citrus sinensis (L.) Osbeck), pomelo (Citrus
grandis L.), and lemongrass (Cymbopogoncitratus) have useful components in the production of
food, pharmacy and perfume industries [1, 2, 3]. According to literature, essential oils can be
extractedby different methods, from traditional techniques to novel techniques such as solvent
extraction, steam distillation, hydrodistillation, microwave extraction, ultrasound extraction and
supper critical CO2 extraction. Each method hasits own advantages and disadvantages [4, 5].
However, the steam distillation is commonly used for essential oil extraction due to safety,
simplicity and environmental-friendly operations.
In order to carry out a production line at a large scale, mathematical modeling is often
considered as an inventive step. Mathematical modelscan help the design, optimization and
control of a processby lowering the cost of trials and experiments [6]. Thus, mathematical
modeling plays an important role in the selection of process conditions. Several theoretical,
empirical, and semi-empirical models were reported for the solid-liquid extraction of bioactive
substances from plant materials. Most studies were developed based onthe type ofone-stage
Steam distillation modeling for essential oil extraction process
183
model. However this model type is not sufficient to captureall mechanisms of the extraction
process due to the complicated nature of the plant oil deposition. Therefore, the objective of this
work is to examine several two-stage models (washing and diffusive stage) and propose the best
one that reflects well experimental data.The content of this study includes experimental
conduction and kinetic modeling of essential oil steam distillation applied to sweet orange,
pomelo, and lemongrass.
2.MATERIALS AND METHODS
2.1.Experimental lab-scale system
An experimental lab-scale system for steam distillation is shown in Figure 1. The designed
capacity of the still (stripper) was10 –15 kg per batch depending on type of plants (Figure 1b). In
this work, sweet orange and pomelo peels were taken from Tra Vinh province while lemongrass
was brought from Quang Nam. For each run, 75 liter of purified water was initially loaded to the
stripping vessel and the raw materials were chopped up to the average size of 5 – 10 mm prior to
the loading step. During the extraction, the mixture of thetreated plant materials and water was
heated using a 6 kW electrical resistant heater and the system was operated at atmospheric
pressure. The equipment was fitted with a tight lid to prevent oil and vapor from leaking out.
The system is operated in a manner that the steam rising from the still strips the oil away from
the plant materials and the vapor comprised of oil and steam is passed to a condenser where the
vapor phase is condensed and separated. In the decanter (the oil–water separator), the essential
oil is separated from water at the top of the separator since the density of the oil is lighter than
that of the remaining liquid.
Figure 1.(a) A typical diagram of a steam distillation system, (b) A photo of a lab-scale steam
distillation system: (1) Water, (2) Steam Water, (3) Plant material, (4) Steam and essential oil,
(5) Cold water, (6) Hot water, (7) Water and Essential oil, (8) Separator, (9) Essential oil, (10) Water.
The solid – liquid extraction was carried out for atotal of 160 minutes in which the oil
recovery was measured at proper extraction time for kinetic study. Accumulated oil yield
obtained from the experiments was recorded for the analysis of oil recovery. Composition of the
oil obtained from the extraction of each raw material was analyzed by Gas Chromatography-
Mass Spectrometry (GC-MS) on a capillary column (30 m, 0.32 mm i.d., 0.25 µm film
thickness). Temperature of the column was initially set to 40 oC for 2 min, and then gradually
increased to 225 oC at the rate of 4 oC/min. The extracted oil was diluted by acetone 99.99 % at
Nguyen Dang Binh Thanh, Nguyen Trung Dung, Ta Hong Duc
184
the volumetric ratio of 3:100. Temperature of the injector and detector was set at 290 and
175 oC, respectively. The carrier gas (Helium gas) flow was maintained at the rate of 2.2
mL/min and the split ratio was 1:100.
2.2. Mathematical models
Kinetics modeling of solid – liquid extraction required an understanding of extraction
mechanism. In the Table 1, several two-stage modeling studies have been conducted to describe
extraction of different substances from various materials[7].
The extraction yield is obtained using the following equation:
(1)
Table 1. Two-stage models for the extraction of plant materials [7].
No. Model Equation Parameter
1 Parabolic Diffusion
Model
√(T1) K1 – washing kinetic coefficient
K2 – diffusive kinetic coefficient
2 Elovich Model ! (T2) K1 – washing kinetic coefficient
K2 – diffusive kinetic coefficient
3 Patricelli Model
"#1 % &'(%)
*#1 % &'(%)(T3)
K1, K2 – kinetic coefficient for the
washing and the diffusion stage
A, B – final yield for washing and
diffusion stage
4 So and Macdonald
Model
"#1 % &'(%)
*#1 % &'(%)
+#1 % &'(%,)(T4)
K1, K2, K3 – kinetic coefficient for
washing, first diffusion and second
diffusion stage
A, B, C – final yield for washing, first
diffusion, and second diffusion stage
2.3. Statistical analyses
Mathematical modeling of the solid liquid extraction required the statistical methods of
regression and correlation analysis for the model verification. The validation of models could be
judgedon the basis of different statistical methods. The most widely used method in literature
was root mean square error (RMSE) analysis, which was determined as follows.
-./0 1∑ 3453678 (2)
The concordance between the experimental data and calculatedvalues were also examined
by the coefficient of determination (R2),
- 1 % ∑ 345367398∑ 34:67398 (3)
Steam distillation modeling for essential oil extraction process
185
where Yi – experimental value of the yield; 5 – predicted value of the yield using the regression
model; : - arithmetic average value of the experimental yield; n – number of experimental
points.
3. RESULTS AND DISCUSSION
3.1. Experimental data
Experiments of the essential oil extraction from each raw material type (sweet orange,
pomelo, and lemongrass) were carried out on the lab-scale system mentioned above. For each
batch experiment, the extracted oil volume with respect to extraction time was recorded so that
the oil yield could be estimated as a function of processing time. Total extraction of each raw
material type (sweet orange, pomelo, and lemongrass) was conducted in 150 min starting from
the first liquid drop obtained at the decanter. Details of the experimental data were given in
Table 2 and the description of the experimentation can be found elsewhere [5].
Table 2. Experimental data of oil recovery from the extraction of sweet orange, pomelo, and lemongrass.
Extraction
Time (min)
Sweet Orange Pomelo Lemongrass
Extracted Oil
(mL)
Oil Yield
(-)
Extracted Oil
(mL)
Oil Yield
(-)
Extracted Oil
(mL)
Oil Yield
(-)
0 0 0 0 0 0 0
10 6.5 0.333 4.5 0.529 3.0 0.4
20 12 0.615 6 0.706 4.5 0.6
30 15 0.769 6.5 0.765 5.0 0.667
60 - - 8.0 0.941 6.5 0.867
90 18.5 0.949 8.5 1.0 7.0 0.933
120 19.5 1.0 8.5 1.0 7.5 1.0
135 19.5 1.0 - - - -
150 19.5 1.0 8.5 1.0 7.5 1.0
Measurement results showed that, at the first period of the extraction (about 20 min) the oil
yield increased significantly with time. Then, at the second step, the extraction rate tended to
decrease. According to these phenomena, it can be explained that, at the initial step, oil
deposited on the surface of the raw material was washed and entrained by the steam. This step
often occurred in a short time which accounted for the instant washing step. The rest part of the
oil deposited in the plant’s tissues was extracted at a lower rate due to the nature of the
desorption mechanism. Thus, the essential oils recovered from plants can be captured well by
the two-stage soli-liquid extraction.
The composition of each essential oil calculated from GC-MS analysis were given in Table
3. It can be seen that D-Limonene was the major component of the essential oils extracted from
sweet orange (95.59 %) and pomelo (82.54 %) since these two materials come from the same
family. Farhat et al. [3] also reported that the composition of Limonene in the oil extracted from
Nguyen Dang Binh Thanh, Nguyen Trung Dung, Ta Hong Duc
186
orange peel by steam distillation and microwave steam distillation was around 95% and in the
work of Chen et al. [8], Limonene concentration obtained from microwave extraction of pomelo
peel was in the range of 78 – 87 %. In the case of lemongrass oil, the total content of Citral
(including citronellal, citronellol, and geraniol) is around 69 % (see Table 3). Cassel et al. [9]
reported in one of their work that, citral concentration of the lemongrass oil extracted by steam
distillation is 63.5 %, while the total content of this component was in the range of 73 – 85 % in
a study of Desai et al. [10].
Table 3. Composition of the essential oils extracted from sweet orange, pomelo, and lemongrass.
Sweet Orange Pomelo Lemongrass
Compound Content
(%)
Time
(min)
Compound Content
(%)
Time
(min)
Compound Content
(%)
Time
(min)
α-pinene, (-)- 0.51 5.27 α-Pinene 1.27 5.29 Limonene 3.295 9.685
2-β-pinene 0.10 6.38 β-Myrcene 1.50 6.69 Citronellal 31.043 13.84
β-Myrcene 1.65 6.64 α-Phellandrene 1.48 7.15 Citronellol 10.003 15.92
D-Limonene 95.59 7.771 D-Limonene 82.54 7.79 Geraniol 27.864 17.06
Octanal 0.20 30.61 γ-Terpinene 8.41 8.59
Dibutyl
phthalate 0.70
31.44 Nootkatone 1.09 28.41
3.2. Kinetic model parameters
The four previously described models (see Table 1) were tested for the extraction ofsweet
orange, pomelo, and lemongrass. Tables 4, 5, and 6 showed the corresponding results of
nonlinear regression and statistical analyses for the development of the kinetic models.
Numerical calculations showed that Patricelli model was the best fit for all materials (pomelo,
sweet orange and lemongrass) selected in this study. It can be observed that the Patricelli model
has high coefficient of determination R2 = 0.993 and low value of RMSE (RMSE = 0.023) for
pomelo; R2 = 0.997 and RMSE = 0.017 for sweet orange; and R2 = 0.999, RMSE = 0.011 for
lemongrass.
Table 4. Coefficients and statistical parameters of extraction modeling for sweet orange.
Model
Coefficients
RMSE R2
K1 K2 K3 A B C
Parabolic Diffusion 0.287 0.064 - - - - 0.072 0.946
Elovich 0 0.204 - - - - 0.051 0.973
Patricelli 0.048 0.0002 - 0.964 1.089 - 0.017 0.997
So and Macdonald 0.0001 0.048 0 0.871 0.964 1.968 0.018 0.997
Steam distillation modeling for essential oil extraction process
187
Table 5. Coefficients and statistical parameters of extraction modeling for pomelo.
Model
Coefficients
RMSE R2
K1 K2 K3 A B C
Parabolic Diffusion 0.525 0.043 - - - - 0.056 0.962
Elovich 0.187 0.170 - - - - 0.031 0.988
Patricelli 0.131 0.014 - 0.648 0.424 - 0.023 0.993
So and Macdonald 0.107 0.0005 0 0.870 1.974 4.984 0.048 0.972
Table 6. Coefficients and statistical parameters of extraction modeling for lemongrass.
Model
Coefficients
RMSE R2
K1 K2 K3 A B C
Parabolic Diffusion 0.286 0.064 - - - - 0.048 0.972
Elovich 0 0.203 - - - - 0.028 0.990
Patricelli 0.140 0.023 - 0.359 0.671 - 0.011 0.999
So and Macdonald 0.995 0.039 0.001 0.173 0.705 0.714 0.014 0.998
Figure 2. Extraction kinetics of pomelo, sweet orange, and lemongrass.
0
0.2
0.4
0.6
0.8
1
0 20 40 60 80 100 120 140 160
Ex
tr
a
ct
io
n
yi
el
d
(-)
Time (min)
Pomelo: Exp.
Sweet Orange: Exp.
Lemongrass: Exp
Pomelo: Patricelli Model
Sweet Orange: Patricelli Model
Lemongrass: Patricelli Model
Nguyen Dang Binh Thanh, Nguyen Trung Dung, Ta Hong Duc
188
Experimental data of the oil yield obtained from experiments were depicted in comparison
with predicted model in Figure 2. It can be seen that, the Patricelli model captured well the two-
stage extraction mechanism of theoil deposition in the plants. For the extraction of pomelo and
sweet orange, the washing stage was more important than diffusion stage. This may be explained
that the amount of essential oil located on the surface of the skin was higher than the oil
deposited inside the plant tissues. For instance, the oil deposited on the skin surface of sweet
orange peels occupied more than 96 % of the total oil yield (see Table 2). However, due to the
fiber structure of lemongrass, the amount of in-cell oil (67.1 %) was higher than the oil
deposited on the cell surface (35.9 %).In addition, numerical results given in Table 2 also
showed that the extraction rate of the surface oil was higher than that of in-tissue oil since the
values of K1 were always higher than that of K2 for all selected materials (sweet orange, pomelo,
and lemongrass).
Details of kinetic models for the extraction of selected materials in this work were
described in Equations (4), (5), and (6) as follows.
For sweet orange:
0.964#1 % &'(%0.048) 1.089#1 % &'(%0.0002) (4)
For pomelo:
0.648#1 % &'(%0.131) 0.424#1 % &'(%0.014) (5)
For lemongrass:
0.359#1 % &'(%0.139) 0.671#1 % &'(%0.023) (6)
4. CONCLUSIONS
Kinetics of theessential oil extraction from different plants (sweet orange, pomelo, and
lemongrass) using steam distillation were developed on the basis of semi-theoretical models.
The results showed that all models selected are in a good agreement with experimental data.
Howerver, the Patriicelli model, in which both washing and desorption steps were accounted for,
can capture wellthe extraction kinetics of all materials (sweet orange, pomelo, and lemongrass)
considered in the present work. The proposed mathematical models can be useful for the process
design of large scale systems and for the purpose of process control.
Acknowledgements. This work is funded by the Hanoi University of Science and Technology (HUST) under
project T2017-PC-020.
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