Hydrodynamic studies on liquid-liquid two phase flow separation in microchannel by computational fluid dynamic modelling

Science & Technology Development Journal – Engineering and Technology, 4(2):920-931  
Research article  
Open Access Full Text Article  
Hydrodynamic studies on liquid-liquid two phase flow separation  
in microchannel by computational fluid dynamic modelling  
Chue Cui Ting1, Afiq Mohd Laziz1, Khoa Dang Dang Bui2,3, Ngoc Thi Nhu Nguyen2,3, Khoa Ta Dang2,3  
Pha Ngoc Bui2,3, An Si Xuan Nguyen2,3, Ngon Trung Hoang2,3, Ku Zilati Ku Shaari1,  
Loi Hoang Huy Phuoc Pham2,3,*  
,
ABSTRACT  
Microfluidic systems undergo rapid expansion of its application in different industries over the  
few decades as its surface tension-dominated property provides better mixing and improves mass  
transfer between two immiscible liquids. Synthesis of biodiesel via transesterification of vegetable  
oil and methanol in microfluidic systems by droplet flow requires separation of the products after  
the reaction occurred. The separation technique for multiphase fluid flow in the microfluidic system  
is different from the macro-system, as the gravitational force is overtaken by surface force. To un-  
derstand these phenomena completely, a study on the hydrodynamic characteristics of two-phase  
oil-methanol system in microchannel was carried out. A multiphase Volume of Fluid model was  
developed to predict the fluid flow in the microchannel. An inline separator design was proposed  
along with its variable to obtain effective separation for the oil-methanol system. The separation  
performance was evaluated based on the amount of oil recovered and its purity. The capability  
of the developed model has been validated through a comparison of simulation results with pub-  
lished experiment. It was predicted that the purity of recovered oil was increased by more than  
46% when the design with side openings arranged at both sides of the microchannel. The high-  
est percentage recovery of oil from the mixture was simulated at 91.3% by adding the number of  
side openings to ensure the maximum recovery. The oil that was separated by the inline separator  
was predicted to be at 100% purity, which indicates that no methanol contamination throughout  
the separation process. The purity of the separated product can be increased by manipulating the  
pressure drop across the side openings. Hence, it can be concluded that the separation in a large  
diameter microchannel system is possible and methodology can be tuned to achieve the separa-  
tion goal. Finally, the simulation results showed that the present volume of fluid model had a good  
agreement with the published experiment.  
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1Chemical Engineering Department,  
Universiti Teknologi PETRONAS (UTP),  
3260 Seri Iskandar, Perak, Malaysia  
2Faculty of Chemical Engineering, Ho  
Chi Minh City University of Technology  
(HCMUT), 268 Ly uong Kiet Street,  
District 10, Ho Chi Minh City, Vietnam  
Key words: microchannel, immiscible liquids separation, computational fluid dynamic, volume of  
fluid model, multiphase  
3Vietnam National University Ho Chi  
Minh City, Linh Trung Ward, u Duc  
District, Ho Chi Minh City, Vietnam  
that can perform quick separation in the microchan-  
nel field, it is important to study the hydrodynamic  
INTRODUCTION  
Liquid-liquid two phase separation is an important  
Correspondence  
Loi Hoang Huy Phuoc Pham, Faculty of  
Chemical Engineering, Ho Chi Minh City  
University of Technology (HCMUT), 268  
Ly Thuong Kiet Street, District 10, Ho  
Chi Minh City, Vietnam  
characteristic of the fluid flow in the microchannel.  
aspect when it comes to the usage of microchannel  
In macroscale, separation is done by exploiting the  
in performing certain chemical reactions that involve  
gravitational effect and the difference in density of  
two immiscible liquids1. One of the applications of  
the multiphase. However, in microscale, the ef-  
the usage of microreactor technology in chemical pro-  
Vietnam National University Ho Chi Minh  
City, Linh Trung Ward, Thu Duc District,  
Ho Chi Minh City, Vietnam  
fect of gravitational force is overtaken by the surface  
force, and the density difference of the two phases  
are small7. In another study, it was found that the  
cesses in the transesterification of vegetable oil and  
methanol is to produce biodiesel2. Heat and mass  
transfer are improved significantly via microfluidic  
Email: phhloi@hcmut.edu.vn  
device as it provides high surface to volume ratio36  
.
microfluidics have apparatus length scale below the  
History  
Laplace length scale ( γ/(ρg)), which later proved  
that the effect of gravitational forces is negligible in  
microchannel8. By exploiting the surface forces in  
microfluidics, two phase separation is possible to per-  
form in a single step.  
As the reaction and fluid flow happen in the capillary-  
size channel, the mechanism of the fluid flow devi-  
ates from the macro-system as the effect of gravity and  
inertial force is not significant in the micro-system7.  
e capillary effect and viscous force overcome the  
gravity and inertial force, causing the fluid to behave  
Received: 27-02-2021  
Accepted: 26-4-2021  
Published: 09-5-2021  
DOI : 10.32508/stdjet.v4i2.810  
Capillary pressure, P is a critical parameter in the  
cap  
differently. In order to design a separation system microscale separation process to induce and maintain  
Cite this article : Ting C C, Laziz A M, Bui K D D, Nguyen N T N, Dang K T, Bui P N, Nguyen A S X, Hoang N T,  
Shaari K Z K, Pham L H H P. Hydrodynamic studies on liquid-liquid two phase flow separation in mi-  
crochannel by computational fluid dynamic modelling. Sci. Tech. Dev. J. – Engineering and Technology;  
4(2):920-931.  
920  
Science & Technology Development Journal – Engineering and Technology, 4(2):920-931  
separation7,9,10. e Pcap is given as7:  
very fine capillaries array (less than 50µm), which can  
cause difficulty for production of the very fine capil-  
laries microchannel. e aim of this project is to con-  
duct a numerical study on the hydrodynamics char-  
acteristic of liquid-liquid two phase flow separation  
in microchannel. In this present work, the separation  
is performed in the microchannel system with large  
capillary size (particularly more than 250µm). Sepa-  
ration system with large capillary size has lesser pres-  
sure drop, and therefore is more difficult to carry out  
separation.  
Copyright  
© VNU-HCM Press. This is an open-  
access article distributed under the  
terms of the Creative Commons  
Attribution 4.0 International license.  
2γ coscosθ  
(1)  
P
cap  
=
r
where  
γ is the interfacial tension,  
θ is the contact angle between the liquid phase and  
the solid wall of the microdevice  
r is the radius of curvature of the interface.  
To achive a perfect separation, the capillary pres-  
sure must be higher than the outlet pressure drop11  
.
Adamo et al.11 had proposed the outlet pressure drop  
as follow:  
RELATED WORK  
12µlQ  
e separation of chloroform and water system at flow  
rate up to 0.4 ml/min has been performed by Castell  
et al.7. In this study, the segmented flow regimes  
of the two liquids are generated and separated into  
their component phases through an array of separa-  
tion ducts. e outlet pressure drops at various po-  
sitions were applied to achieve separation. e sep-  
aration efficiency was quantified over a range of ap-  
plied pressure differentials and inlet flow rates. It  
was demonstrated that the capillary pressure is suf-  
ficient to separate the two-phase flow through a nar-  
row channel over a range of flow rates by applying ap-  
propriate pressure drop of the separator. Besides, it  
was also proved that the difference in capillary forces  
of the two different wetting property fluids allows the  
separation to be achieved by ensuring the passage of  
(
)
P  
=
outlet  
h
(2)  
10.63  
wh3  
w
where  
l, h and w is the length, height and width of the chan-  
nel respectively  
Q is the volumetric flow rate and µ is the dynamic vis-  
cosity of the liquid.  
ere are two main possible failures in the attempt to  
achieve two phase separation in the microchannel11  
.
First is the retain of continuous phase in dispersed  
phase outlet and second is the breakthrough of dis-  
persed phase which some of the dispersed phase flow  
together with the continuous phase through the con-  
tinuous phase outlet. First scenario occurs when the  
capillary pressure of the continuous phase is insuffi-  
cient to provide the driven force for all the continu- one phase through the separation ducts.  
ous phases to flow to the continuous phase outlet. e  
capillary pressure of continuous phase is smaller than  
continuous outlet pressure in this scenario. Second  
failure happens when the capillary pressure of the dis-  
persed phase is greater than the continuous pressure  
outlet, causing the dispersed phase to overcome the  
pressure to flow through the continuous outlet. Hence  
it is important to maintain the suitable pressure drop  
in the microchannel to induce the perfect separation.  
To achieve a perfect separation10, the outlet pressure  
drop must be in the range of:  
A comparison study showed that the separation tech-  
nique performed by Kashid and Agar12 is similar to  
the separation technique used by Castell et al.7. e  
system used by Kashid and Agar12 was toluene and  
water on chips. e number of the narrow channels  
used is 100. Kashid and Agar12 found that the sep-  
aration can be achieved by applying the appropriate  
pressure drops at the two different outlets.  
e liquid-liquid separation in microchannel was  
modelled using a Y-shaped flow splitter by Kashid et  
al.13. In this study, two different materials were inte-  
grated on each of the branches of the Y-splitter, which  
are hydrophobic Teflon and hydrophilic steel to sepa-  
rate the organic and aqueous phase liquids. e find-  
ings found that the separation efficiency is indepen-  
dent with droplet velocity. However, an unequal flow  
ratio between the two liquids will affect the separation  
efficiency. e liquid with higher flow rate will con-  
taminate the outlet, causing incomplete separation.  
is phenomenon is caused by the dominant of iner-  
Pdispersed > P  
> Pcontinuous  
(3)  
c
outlet  
c
e outlet pressure drop can be tuned by modifying  
the capillary diameter as well as the capillary length  
as both are the function of the pressure drop outlet10  
.
By tuning the pressure drop across the outlet to the  
desired range, perfect separation can be achieved.  
Currently, there are successful inline separators for  
the microfluidics that are proven to carry out fast  
and effective separation of the two immiscible liquids tial force over wetting force. Besides, capillary size has  
flow. However, the design of the separator requires a no significant effect on the separation efficiency. is  
921  
Science & Technology Development Journal – Engineering and Technology, 4(2):920-931  
modelling work had performed a near-perfect separa-  
tion in which the aqueous outlet still contains 5 per-  
cent of organic solution.  
3. e boundary condition along the solid surface  
is non-slip with no penetration.  
4. No mass transfer and chemical reaction occur  
across the two liquids interface.  
Another methodology which is similar to the research  
work by Kashid et al.13 is the separation of immiscible  
liquids within hydrophobic microchannel by insert-  
ing a metallic hydrophilic sidestream14. Two these  
studies have investigated the effect of the sidestream  
angle, sidestream penetration, sidestream internal di-  
ameter and the fluid properties. Besides, the main-  
stream outlet length have been manipulated as the  
outlet pressure drop is a function of length. From  
there, it was proved that separation of two-phase flow  
can be achieved by simply piercing the microchannel  
using a hydrophilic metal sidestream needle.  
In one study, the liquid-liquid separation has been  
performed by applying porous capillaries to the inline  
separation of the microchannel10. It was found that  
suitable back pressure at the separator and the two-  
phase separation can be achieved over a wide range of  
flow rates (100-1000µL/min) by tuning the back pres-  
sure. Moreover, this study also reported that the pres-  
sure difference is the key to successful separation. To  
achieve a perfect separation, the outlet pressure drop  
has to be smaller than capillary pressure of solvent  
and greater than capillary pressure of the carrier. By  
adjusting the separator capillary diameter and length,  
the outlet pressure drop can be tuned to achieve a per-  
fect separation.  
Governing Equations  
e computational domain used in this work is two-  
dimensional. e interface tracking between the  
phases in VOF method is done by solving the conti-  
nuity equation for the volume fraction of one phase:  
[
]
(
)
1
−  
αpρp +·αpρp v  
p
ρp t  
= S+  
(4)  
(
)
.
.
n
mqp mpq  
q=1  
e momentum equation in VOF model is  
t  
→  
−  
−  
(ρ v )+·(ρ v v )  
(5)  
(
)
−  
−  
→  
= p+· µ(v +v T ) +ρ g + F  
e surface tension model in ANSYS Fluent is the  
continuum surface force (CSF) model proposed by  
Brackbill et al.16. e addition of the surface tension  
to the VOF model results in the source term in the  
momentum equation. e outlet pressure drop highly  
depends on the surface tension coefficient, σ, and the  
surface curvature as measured by two radii in orthog-  
onal directions, R1 and R2:  
In another study, the separation of liquid-liquid phase  
had been demonstrated by using membrane-based  
separator with integrated pressure control11. A mem-  
brane is used to separate organic and aqueous phase  
and a pressure differential is applied across the outlet.  
By applying a suitable back pressure on the organic  
outlet, it is able to provide sufficient pressure to pre-  
vent all the aqueous phase from permeating through  
the membrane.  
(
)
1
1
p2 p1 = σ  
+
(6)  
R1 R2  
Wall adhesion angle is included to adjust the surface  
normal in the cells near the wall. It helps to adjust the  
curvature of the surface near the wall. Assuming θw is  
the contact angle at the wall, then the surface normal  
at the cell next to the wall is  
THE METHODOLOGY TO DEVELOP  
THE MODEL  
b
(7)  
nb= nbw coscosθw +tw sinsinθw  
A Volume of Fluid (VOF) model was developed to  
model and investigate the flow behaviour in mi-  
crochannel. ANSYS Fluent was used for the simula-  
tion purpose in this study15. Some assumptions were  
made in this work to study the flow separation of im-  
miscible liquids in microchannel:  
Boundary and Solver Setup  
A two-dimensional domain (Figure 1) was generated  
by using the ANSYS Geometry Modeler15. A mesh  
was generated, and inflation method was used on the  
wall boundary as the simulation requires high accu-  
racy at the wall film. Mesh independent study was  
carried out to identify the suitable mesh size for this  
simulation work. e boundary setup was tabulated  
in Table 1.  
1. e liquids are Newtonian liquids and are in-  
compressible with constant surface tension and  
viscosity.  
2. e flow in the microchannel is laminar.  
922  
Science & Technology Development Journal – Engineering and Technology, 4(2):920-931  
Figure 1: Schematic diagram of microchannel separator.  
Table 1: Boundary and Solver Setup  
Property/ Parameter  
Fluid/ Value  
Density (kg/m3)  
Oil = 909.15  
Methanol = 785  
Viscosity (Pa.s)  
Oil = 0.069  
Methanol = 0.0005495  
Interfacial Tension (N/m)  
Velocity (m/s)  
0.00327  
Oil = 0.00138  
Methanol = 0.00214  
Wall Adhesion  
Oil/ Methanol = 180º  
total amount of oil removed and the purity of oil re-  
RESULTS AND DISCUSSION  
moved. Design 2 has a large amount of methanol es-  
caped through the side openings, lowers the oil purity  
to 53.9%. Design 1 was able to separate the oil from  
the mixture, retrieving almost 80% of pure oil from  
the mixture, while design 2 had recovered 67% of oil  
from the system. Based on this observation, design 1  
is selected for the next analysis.  
Two immiscible liquids, oil and methanol were intro-  
duced into the microchannel system by a T-junction  
and droplet flow were generated with oil as a pri-  
mary phase enclosed the secondary phase, methanol  
as droplet. e mixture flows along the microchannel  
and eventually reaches the inline separator. e side  
openings provide exits for the oil to be separated from  
the mixture.  
Effect of Number of Side Openings  
Number of side openings is important as it deter-  
mines the separation performance of an inline sepa-  
rator. e higher the number of side openings pro-  
vides more exits for the primary phase to be separated  
from the system. e amount of oil allowed to sepa-  
rate from the system rises when the number of side  
openings increases. Table 2 shows the separation per-  
formance for the 3 types of separator with different  
numbers of side openings pair.  
Preliminary Design Selection  
Two types of designs were proposed to carry out the  
separation of the oil-methanol system. Design 1 (Fig-  
ure 2) has the configuration of side openings located  
at both sides of the microchannel while design 2 (Fig-  
ure 3) has the configuration of side openings located  
at one side of the microchannel. Figures 2 and 3  
show the simulated oil volume fraction contour for  
separation in the oil-methanol system. Both the de-  
signs have 2 side openings with different configura-  
tions. e simulated result proved design 1 has bet-  
As shown in Table 2, when the number of side open-  
ings increases from 1 to 2 pairs, the percentage of  
oil recovery increases from 67.9 % to 91.3%. Fur-  
ter separation performance than design 2 in terms of ther increase in the number of side openings will not  
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Science & Technology Development Journal – Engineering and Technology, 4(2):920-931  
Figure 2: Oil volume fraction contour of inline separator design 1  
Figure 3: Oil volume fraction contour of inline separator design 2  
Table 2: Effect of number of side openings on separation performance  
Number of Side Opening  
Pair  
Percentage of oil recov- Contamination of methanol at side Purity of oil recovered  
ery (%)  
openings  
(%)  
99.3  
90.1  
100  
1
2
3
67.9  
Yes  
91.3  
Yes  
91.3  
No  
raise the amount of oil recovered as it is the max- phenomenon happens as the number of side open-  
imum oil recovery that the inline separator can be ings pair increases the pressure drop of the system, re-  
achieved. e remaining 8.7% of the oil retains in the taining the methanol from escaping through the side  
system and moves together with methanol as oil is the openings, and hence, resulting in higher purity of the  
medium that wets the wall. A thin film of oil is found oil recovered. Based on the results, it is observed that  
in between the wall and methanol droplet as a result 3 pairs of side openings are sufficient to carry out an  
of its wetting properties.  
effective separation given the process parameter.  
In terms of the oil recovered purity, separators with 2 e previous design with a low percentage of oil purity  
pairs of side openings (Figure 4) provide worse sepa- (inline separator with 2 pairs of side openings) was  
ration than the 3 pairs side openings (Figure 5). e chosen for the next step of analysis. e objective of  
purity of oil increases from 90% to 100% by increas- this is to enhance and improvise the separation based  
ing the number of side openings pair from 2 to 3. is on the selected design. Two methods were proposed  
924  
     
Science & Technology Development Journal – Engineering and Technology, 4(2):920-931  
Figure 4: Oil volume fraction contour of inline separator with 2 pairs of side openings  
Figure 5: Oil volume fraction contour of inline separator with 3 pairs of side openings  
to improve the design with fixed number of side open- openings as the methanol droplet has insufficient cap-  
ings. e methods are:  
illary pressure to overcome the pressure drop across  
the side openings. From Table 3, it can be seen that  
750µm side openings increase the purity of the recov-  
ered oil to 100%. Further increases inside openings  
length will maintain the purity of oil recovered at its  
maximum and this can be observed at 1000µm side  
openings with 100% recovered oil purity.  
1. Increase the side openings length.  
2. Applied an external resistance on the side open-  
ings.  
Effect of Side Openings Length  
Increasing the length of side openings will reduce the  
percentage of oil recovered, as part of the oil fraction  
has insufficient capillary pressure to overcome the in-  
crease in the side opening pressure drop. is can  
be shown as the side opening length increases from  
500µm to 750µm and 1000µm, the percentage of oil  
recovered reduces from 91.3 to 82.9 and 82% respec-  
tively.  
Table 3 shows the separation performance of inline  
separator. e simulation result (Figure 6) shows  
the improvement of the recovered oil purity as the  
length of the side openings is increased. e pressure  
drop across the outlet is given by (2) and it shows the  
proportionality of the pressure drop and the length  
of the channel. By increasing the length of the out-  
let channel, the pressure drop across the side open-  
ings increases. For methanol to pass through the side  
openings, it must have sufficient capillary pressure to  
overcome the pressure drop across the side openings.  
Effect of External Resistance in the Side  
Openings  
erefore, by increasing the length of the side open- e purity of recovered oil can be enhanced by apply-  
ings, it prevents the methanol from flowing into side ing a resistance in the side openings outlet. By do-  
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Science & Technology Development Journal – Engineering and Technology, 4(2):920-931  
Table 3: Effect of Side Openings Length on Separation Performance  
Length of side openings  
Percentage of oil recovery Contamination  
of Purity of oil recovered (%)  
(µm)  
(%)  
methanol at side openings  
500  
91.3  
82.9  
82.0  
Yes  
No  
No  
90.1  
100  
100  
750  
1000  
Figure 6: Oil volume fraction contour of inline separator with 1000µm long of side openings  
ing this step, the pressure drop across the side open- be prevented.  
ings increases, adding the difficulty for the methanol However, the effect of the external resistance on the  
to pass through the side openings. e external re- percentage of oil recovery is similar with cases of in-  
creased inside openings length. As the pressure drop  
across the side openings increases, portion of the oil  
will have insufficient capillary pressure to overcome  
the increment in pressure drop. Hence some of the oil  
will not be able to flow into the side opening, resulting  
in the reduction of the oil recovery percentage.  
sistance is represented by the reduction in the width  
of the side openings in the simulation. e first pair  
of the side openings width is reduced from 250µm  
to 150µm. e comparison of the two separators is  
shown in Table 4.  
From the simulation results (Fig. 7), it proves that  
by applying external resistance (reduction in the side  
openings’ width) on the side openings, the purity of  
the recovered oil increases from 90% to 100%. Pure  
product can be obtained through this methodology  
and the problem of methanol flowing into the side  
openings can be overcome. When external resis-  
tance (usually a thin rod) is applied, and inserted into  
the side openings, the cross-sectional area of the side  
openings decreases. According to (8), the pressure  
drop of across the outlet channel is inversely propor-  
tional to the width and height of the channel. e  
pressure drop of the side openings with applied resis-  
tance is larger than the one without. Since the cross-  
sectional area of the side openings decreases, the pres-  
sure drop across the side openings increases. e  
Relationship between the Pressure Drop  
and Separation Performance  
e pressure drop across the side openings are ob-  
tained based on the simulated results of 2 pairs of side  
openings inline separator. A graph of separation per-  
formance versus the pressure drop of side openings is  
plotted (Fig. 8).  
Based on the graph plotted it is clearly seen that the  
purity of the separation product is proportional to the  
pressure drop of the outlet. As the pressure drop of the  
side openings increases, the difficulty of the methanol  
to enter side opening increases. Hence the methanol  
will be separated from the oil phase. e other curve  
shows the relationship between the percentage of oil  
methanol will need to have higher capillary pressure recovery and the pressure drop of side openings. As  
to overcome the large pressure drop. As a result of the pressure drop of the side openings increases, the  
this, the flow of methanol into the side openings can lesser the oil being separated as some of the oil has  
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Science & Technology Development Journal – Engineering and Technology, 4(2):920-931  
Table 4: Effect of External Resistance on Separation Performance  
Width of first pair of side open-  
Percentage of oil re- Contamination  
of Purity of oil recovered (%)  
ings (µm)  
covery (%)  
methanol at side openings  
250  
150  
91.3  
Yes  
No  
90.1  
100  
79.4  
Figure 7: Oil volume fraction contour of inline separator with resistance  
Figure 8: Graph of separation performance vs pressure drop  
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Science & Technology Development Journal – Engineering and Technology, 4(2):920-931  
not sufficient pressure to enter the side openings. Less will be evaluated based on the recovered oil product.  
oil is being recovered from the system as it retains in  
the main outlet and to be discharged together with  
methanol. e finding shows the significance of the  
pressure drop across the side openings in achieving  
microchannel inline separation.  
Preliminary study is conducted to identify the suit-  
able design for the inline separator. It is proven that  
the design with side openings arranged at both sides  
of the microchannel gives better separation perfor-  
mance than the design with side openings arranged  
at one side of the microchannel. e purity of recov-  
ered oil is increased by more than 46%. Based on this  
observation, the project is continued with selected de-  
sign.  
Further analysis is carried out on the selected geom-  
etry to investigate the effect of number of side open-  
ings, effect of side openings’ length and effect of exter-  
nal resistance on the separation performance of the  
inline separator. It is observed that the highest per-  
centage recovery of oil from the mixture that can be  
achieved is 91.3%. is method can be achieved by  
adding the number of side openings to ensure the  
maximum recovery. e oil that is separated by the  
inline separator is found to be at 100% purity, which  
indicates that no methanol contamination through-  
out the separation process.  
For the cases where the contamination of methanol  
occurred, whereby the methanol is escaping into the  
side openings together with the oil phase, this prob-  
lem can be overcome by applying larger pressure drop  
across the side openings. is methodology can be  
achieved by increasing the length of the side openings,  
or by applying external resistance in the side open-  
ings. e purity of the recovered oil is proved to be  
increased up to 100%, whereby all the methanol will  
flow through the main outlet.  
e project has demonstrated that the separation of  
oil-methanol system in microchannel can be achieved  
using a higher number of side openings, which is  
3 pairs of side openings for the selected oil and  
methanol flow rate. e purity of the separated prod-  
uct can be increased by manipulating the pressure  
drop across the side openings. Hence, it can be con-  
cluded that the separation in a large diameter mi-  
crochannel system is possible and methodology can  
be tuned to achieve the separation goal.  
Model Validation Study  
In this study, the experimental result from Garstecki  
et al.17 is used to validate the accuracy of the above  
VOF model. e geometry of the microchannel used  
in Garstecki et al.s experiment is a T-junction as  
shown in Fig. 9. e diameter of microchannel is 100  
mm and the inlet has a width of 50 mm. Oil is used as  
the continuous phase and water as dispersed phase.  
e main purpose of Garstecki et al.s experiment17  
is to produce different droplet sizes by injecting var-  
ious volumetric flow rate ratio between oil and water  
into T-junction microchannel. ree different droplet  
sizes have been observed in range of the ratio between  
the droplet length, Ld, to the channel width, wc. Ta-  
ble 5 shows the details of experimental conditions for  
all droplet size scenarios.  
Fig. 10 shows the simulation results of the droplet  
predicted from the VOF model at different volumet-  
ric flow conditions (see Table 5). It can be found in  
the Fig. 10 that increasing the oil-to-water ratio leads  
to the increase of the droplet size. is finding is in  
corresponding with the study of Garstecki et al.17  
.
e droplet lengths predicted from the VOF model  
and observed from the experiment17 are presented in  
Table 6. As can be seen from Table 6, the length de-  
viations between the simulation and experimental re-  
sults are around 5%. is finding revealed that good  
agreement was observed between the simulation re-  
sults and the published experimental data.  
CONCLUSION  
e flow behaviour of two immiscible liquids in mi-  
crochannel is studied using the VOF model that is  
available in ANSYS Fluent soꢀware. Separation of  
two immiscible liquids in the microchannel by us-  
ing a large diameter inline separator system is pro-  
posed at the earlier stage of the project. By conducting  
this study, this project proves that inline separation by  
large diameter separator is possible.  
e project is done by using the squeezing regime at  
the inlet flow, with the velocity of oil phase at 0.00138  
m/s and velocity of methanol phase at 0.00214 m/s,  
which bring difficulties for the separation as the two  
fluids are flowing at a very slow velocity. e main in-  
terest of this project is to recover the oil from the mix-  
ture, as the oil phase is the main product of the trans-  
Finally, the developed VOF model was validated  
against a recently published experimental data. e  
validation study shows that the present VOF model  
had a good agreement with the published experiment.  
ACKNOWLEDGEMENTS  
We acknowledge the support of time and facili-  
ties from Ho Chi Minh City University of Technol-  
ogy (HCMUT), VNU-HCM and Universiti Teknologi  
esterification. erefore, the separation performance PETRONAS (UTP) for this study.  
928  
Science & Technology Development Journal – Engineering and Technology, 4(2):920-931  
Figure 9: Computational domain of the microchannel is reproduced from Garstecki et al.17 for the model valida-  
tion  
Table 5: Experimental conditions17 used for the model validation  
Droplet name  
Droplet size range  
Inlet volume flow rate (µL/s)  
Water-oil flow rate ratio, Qo/Qw  
Qoil  
Qwater  
0.010  
0.025  
0.111  
Short  
Middle  
Long  
Ld 2wc  
0.028  
0.028  
0.28  
0.36  
0.89  
0.396  
2wc < Ld6wc  
Ld > 6wc  
Figure 10: Predictions of droplet at different sizes: (a) short droplet, b) middle droplet and c) long drop  
Table 6: Droplet length comparison between simulation and experiment  
Droplet name  
Droplet length (mm)  
VOF model  
154  
Experiment17  
Deviation (%)  
Short  
Middle  
Long  
161  
4.3  
2.4  
3.2  
214  
209  
1024  
1058  
929  
   
Science & Technology Development Journal – Engineering and Technology, 4(2):920-931  
6. Kashid MN, Renken A, Kiwi-Minsker L.  
CFD modelling  
LIST OF ABBREVIATION  
CSF Continuum surface force  
PTFE Polytetrafluoroethylene  
VOF Volume of Fluid  
of liquid-liquid multiphase microstructured reactor: Slug  
flow generation. Chemical Engineering Research and Design.  
2010;88(3):362–368. Available from: https://doi.org/10.1016/j.  
7. Castell OK. Liquid-liquid phase separation: Characterisation  
of a novel device capable of separating particle carrying mul-  
tiphase flows. Lab Chip. 2009;9:388–396. PMID: 19156287.  
8. Gunther A, Jensen KF. Multiphase microuidics: from ow char-  
acteristics to chemical and materials synthesis. Lab on a Chip.  
2006;6:1487–1503. PMID: 17203152. Available from: https:  
9. Kralj J, Sahoo H, Jensen K. Integrated continuous microfluidic  
liquid-liquid extraction. Lab Chip. 2007;7(2):256–263. PMID:  
10. Phillips TW, et al. Microscale extraction and phase sepa-  
ration using a porous capillary. Lab Chip. 2015;15(14):2960–  
2967. PMID: 26054926. Available from: https://doi.org/10.  
COMPETING INTERESTS  
e authors declare that they have no conflicts of in-  
terests.  
AUTHORS’ CONTRIBUTIONS  
e research methodology was conceptually pro-  
posed by Chue Cui Ting and Afiq Mohd Laziz. Orig-  
inal draꢀ was prepared by Chue Cui Ting. e re-  
search was supervised by Khoa Dang Dang Bui, Ngoc  
i Nhu Nguyen, Khoa Ta Dang Pha, Ngoc Bui, An  
Si Xuan Nguyen, Ngon Trung Hoang, Ku Zilati Ku  
Shaari and Loi Hoang Huy Phuoc Pham. All authors  
have read and agreed to the published version of the  
manuscript.  
11. Adamo A, Heider PL, et al.  
Membrane-Based, Liquid-  
LiquidSeparatorwithIntegratedPressureControl. Industrial&  
Engineering Chemistry Research. 2013;52(31):10802–10808.  
flow capillary microreactor: flow regimes, slug size and pres-  
sure drop. Chemical Engineering Journal. 2007;131(1):1–13.  
13. Kashid MN, et al. LiquidLiquid Slug Flow In A Capillary: An  
Alternative To Suspended Drop Or Film Contactors. Industrial  
& Engineering Chemistry Research. 2007;46(25):8420–8430.  
14. Scheiff F, et al. The separation of immiscible liquid slugs within  
plastic microchannelsusing a metallic hydrophilicsidestream.  
Lab on a Chip. 2011;11(6):1022–1029. PMID: 21279200. Avail-  
15. Fluent. FLUENT 6.3 User’s Guide. Fluent Inc. 2006;.  
16. Brackbill JU, et al. A Continuum Method for Modeling Surface  
Tension. J. Comput. Phys. 1992;100:335–354. Available from:  
17. Garstecki P. Formation of droplets and bubbles in a microflu-  
idic T-junction-scaling and mechanism of break-up. Lab Chip.  
2006;6:437–446. PMID: 16511628. Available from: https:  
REFERENCES  
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Technol. 2006;62:15–17.  
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930  
                             
Tạp chí Phát triển Khoa học và Công nghệ – Kĩ thuật và Công nghệ, 4(2): 920-931  
Bài nghiên cứu  
Open Access Full Text Article  
Nghiên cứu về thủy động lực học của sự phân tách dòng chảy giữa  
hai pha lỏng-lỏng trong vi kênh bằng mô hình tính toán động lực  
học chất lưu  
Chue Cui Ting1, Afiq Mohd Laziz1, Bùi Đặng Đăng Khoa2,3, Nguyễn Thị Như Ngọc2,3, Tạ Đăng Khoa2,3  
Bùi Ngọc Pha2,3, Nguyễn Sĩ Xuân Ân2,3, Hoàng Trung Ngôn2,3, Ku Zilati Ku Shaari1,  
Phạm Hoàng Huy Phước Lợi2,3,*  
,
TÓM TẮT  
Trong những thập niên gần đây, hệ thống vi lưu được dùng nhiều trong các ngành công nghiệp  
khác nhau, vì nhờ đặc tính sức căng bề mặt của nó đã giúp cho sự hòa trộn tốt hơn và tăng sự  
truyền khối giữa hai chất lỏng không hòa tan. Quá trình tổng hợp diesel sinh học thông qua phản  
ứng tổng hợp este của dầu thực vật và methanol trong hệ thống vi lưu nhỏ giọt yêu cầu tách các  
sản phẩm sau khi phản ứng xảy ra. Kỹ thuật tách dòng chất lỏng nhiều pha trong hệ thống vi lưu  
khác với hệ vĩ mô, do lực hấp dẫn bị lực bề mặt chi phối. Để hiểu rõ hiện tượng này, nghiên cứu về  
đặc điểm thủy động lực học của hệ thống dầu-methanol trong vi kênh đã được thực hiện. Mô hình  
thể tích chất lỏng nhiều pha đã được phát triển để dự đoán dòng chất lỏng trong vi kênh. Một bộ  
tách nội tuyến đã được thiết kế cùng với biến số của nó để có được sự phân tách hiệu quả cho hệ  
thống dầu-methanol. Hiệu suất của quá trình phân tách đã được đánh giá dựa trên lượng dầu thu  
hồi và độ tinh khiết của nó. Độ chính xác của mô hình đã phát triển đã được xác nhận thông qua  
việc so sánh kết quả mô phỏng với số liệu thực nghiệm đã công bố. Độ tinh khiết của dầu thu hồi  
đã được dự đoán tăng hơn 46% khi thiết kế với các lỗ ra được bố trí ở cả hai bên của vi kênh. Tỷ  
lệ phần trăm thu hồi cao nhất của dầu từ hỗn hợp được mô phỏng ở mức 91,3% bằng cách tăng  
số lượng lỗ ra ở hai bên để đảm bảo thu hồi tối đa. Dầu được tách bằng thiết bị tách nội tuyến  
được dự đoán là có độ tinh khiết 100%, điều này cho thấy rằng không có nhiễm methanol trong  
suốt quá trình tách. Độ tinh khiết của sản phẩm tách có thể được tăng lên bằng cách điều chỉnh  
độ giảm áp suất trên các lỗ ra. Do đó, có thể kết luận rằng việc phân tách trong một hệ thống vi  
kênh có đường kính lớn là có thể thực hiện được và phương pháp này có thể được điều chỉnh để  
đạt được mục tiêu phân tách. Cuối cùng, kết quả mô phỏng cho thấy mô hình thể tích chất lỏng  
này phù hợp với thí nghiệm đã công bố.  
Use your smartphone to scan this  
QR code and download this article  
1Khoa Kỹ thuật Hóa học, Trường Đại  
học Kỹ thuật Petronas, 3260 Seri  
Iskandar, Perak, Malaixia  
2Khoa Kỹ thuật Hóa học, Trường Đại  
học Bách Khoa TP. Hồ Chí Minh, 268 Lý  
ường Kiệt, Quận 10, ành phố Hồ  
Chí Minh, Việt Nam  
3Đại học Quốc gia ành phố Hồ Chi  
Minh, Phường Linh Trung, Quận ủ  
Đức, ành phố Hồ Chi Minh, Việt Nam  
Từ khoá: vi kênh, tách chất lỏng không hòa tan nhau, tính toán động lực học chất lưu, mô hình  
thể tích chất lỏng, nhiều pha  
Liên hệ  
Phạm Hoàng Huy Phước Lợi, Khoa Kỹ  
thuật Hóa học, Trường Đại học Bách Khoa TP.  
Hồ Chí Minh, 268 Lý Thường Kiệt, Quận 10,  
Thành phố Hồ Chí Minh, Việt Nam  
Đại học Quốc gia Thành phố Hồ Chi Minh,  
Phường Linh Trung, Quận Thủ Đức, Thành  
phố Hồ Chi Minh, Việt Nam  
Email: phhloi@hcmut.edu.vn  
Lịch sử  
Ngày nhận: 27-02-2021  
Ngày chấp nhận: 26-4-2021  
Ngày đăng: 09-5-2021  
DOI : 10.32508/stdjet.v4i2.810  
Trích dẫn bài báo này: Ting C C, Laziz A M, Khoa B D D, Ngọc N T N, Khoa T D, Pha B N, Ân N S X, Ngôn H  
T, Shaari K Z K, Lợi P H H P. Nghiên cứu về thủy động lực học của sự phân tách dòng chảy giữa hai pha  
lỏng-lỏng trong vi kênh bằng mô hình tính toán động lực học chất lưu. Sci. Tech. Dev. J. - Eng. Tech.;  
4(2): 920-931.  
931  
pdf 12 trang yennguyen 18/04/2022 1660
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