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8/3/2019 Written 8 Hyun
1/7
3-D CFD Analysis of the Mixture Formation Process
in an LPG DI SI Engine for Heavy Duty Vehicles
Gisoo Hyun and Mitsuharu OgumaNEDO (New Energy and Industrial Technology Development Organization
Shinichi GotoNational Institute of Advanced Industrial Science and Technology
ABSTRACT
This work aimed to develop an LPG fueled direct injection
SI engine, especially in order to improve the exhaust
emission quality while maintaining high thermal efficiency
comparable to a conventional engine. In-cylinder directinjection engines developed recently worldwide utilizes the
stratified charge formation technique at low load, whereas
at high load, a close-to-homogeneous charge is formed.
Thus, compared to a conventional port injection engine, a
significant improvement of fuel consumption and power
can be achieved. To implement such a combustion
strategy, the stratification of mixture charge is very
important, and an understanding of its combustion
process is also inevitably necessary.
In this work, a numerical simulation was performed using
a CFD code(KIVA-3), where the shape of a combustion
chamber, swirl intensity, injection timing and duration, and
so on were varied and their effects on the mixture
formation were investigated. The conclusions include the
fuel injection conditions such as injection timing and
duration showed relevant influences on the stratification of
mixture charge. And, it was also clarified that the in-
cylinder flows such as swirl and tumble significantly
enhance the mixture formation process, forming a rich
charge around the spark plug and a lean one near the
cylinder wall. This eventually leads to the improved
emission characteristics in an LPG direct injection SI
engine.
INTRODUCTION
Air pollution with the exhaust emission is still a serious
problem, and an international concern has been risen for
its control and restriction. Therefore, energy conservation
with high efficiency and low emission are important
research topics for development of engine system.
Recently, the engine which uses alternative fuels such as
natural gas (CNG, LNG), LPG(Liquefied Petroleum Gas),
DME(Dimethyl Ether), GTL(Gas to Liquids), and hydrogen
is actively developed to solve these problems[1][2][3].
Especially, LPG is paid to attention as a useful alternative
fuel which can be substituted from production from not
only the oil refinement but also the gas refinement to oil
In addition, as LPG is excellent in the exhaust emission
performance, LPG vehicles are being rapidly developed
as an economical and low pollution car.
Recently, several works have been carried out for injecting
the fuel directly into the combustion chamber to meet the
low emission standard and high efficiency[4][5][6]. And
those methods have been used in practical gasoline
engines. However, a large amount of unburned
hydrocarbon emission is a new problem with GDI engines
when they operate near the stoichiometric mixing
condition.
On the other hand, for LGP engine, though lean and
stratification combustion are effective means to high
efficiency of LPG engine by the In-cylinder direct injection
method, it must be clarified the behavior of LPG spray
mixture formation process and combustion process fo
development of high efficiency LPG engine system. This
work aimed to develop an LPG fueled direct injection S
engine. The present work used computational fluid
dynamics (CFD) is to examine the changes that occur in
the in-cylinder flow field, mixture preparation and
combustion due to injection conditions, swirl intensity and
geometry of combustion chamber. A numerical simulation
was performed using a CFD code(KIVA-3) , where
combustion chamber shape of bathtub and dogdish type
is used.
COMPUTATIONAL METHOD ANDCONDITIONS
PROBLEM DEFINITION The investigation is carried ou
on development of two-valves spark ignition engine with
combustion chamber shape of bathtub and dogdish type
Surface definition of the cylinder and ports assembly is
shown in Figure 1. Here, exhaust valve opening and
closing time are -236.0 BTDC and 14.0 ATDC, and intake
valve are -21.0 BTDC and 231.0 ATDC, respectively.
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Computational results are presented and discussed for
the intake, compression and combustion periods,
respectively. These are included the distribution of the
air/fuel equivalence ratio in the vicinity of fuel injector due
to the change of injection conditions. And flow fields is
investigated during the intake and compression periods.
Each result are analyzed in three cutting planes as
defined in Figure 1. Plane A is the symmetry plane of the
cylinder and plane B is normal to plane A at the cylinder
axis. Plane C is a horizontal plane just at the vicinity of
the fuel injector.
COMPUTATIONAL APPROACH - The KIVA- software
package [7][8] was used here, which is a numerical
analysis code for transient, reactive, multiphase, three-
dimensional flows. The KIVA- is able to solve not only the
behavior of fuel spray and the evaporation process but
also the combustion process of the internal combustion
engine. And, a consideration was undertaken for the
convenience of the calculation and the display by adding
an improved analytical function for unstructured grid and
the interface function between the pre- and post-processorin this work.
It is very important for the elucidation of the combustion
processes to understand the state of the fuel-air mixture
and the combustion in the combustion chamber. In this
research, numerical simulation was conducted to examine
the influence of combustion chamber shape in the mixture
formation and the combustion process. Combustion
chamber shape of bathtub and dogdish type was
calculated in this simulation. n-Butane was used as a
main fuel, and engine speed was set at 1500 and 2800
rpm. The mixture formation process and the combustion
process in cylinder were observed by fuel injection at the
comparatively early stage of injection timing. The injection
pressure is 10.0MPa. The number of calculation mesh in
BDC is about 30,500 for bathtub type, and about 30,400
for dogdish type. And the detailed fuel-air mixture
formation and combustion processes in each cavity was
observed with respect to mainly the flow. The fuel injection
conditions of the engine and calculation parameters are
shown in Table1.
Table 1. Engine specifications
and calculation conditions
Fuel Butane
Bore stroke 108mm x 115 mm
BathtubPiston cavity
Dogdish
Compression ratio 10.0
Pressure 10.0MPa
Timing 120, 90, 60BTDCInjection
Duration 30, 40, 50CA
Connecting rod length 185.0mm
Maximum intake valve lift 11.83mm
Exhaust valve opening -236.0BTDC
Exhaust valve closure 14.0ATDC
Intake valve opening -21.0BTDC
Intake valve closure 231.0ATDC
Engine speed 1500, 2800 rpm
Swirl ratio (S/R) 1.97, 3.73
Fig.1 Computational domain, geometry of combustion chamber
and definition of cutting planes A, B and C
Fuel injector
Dogdish type
Plane C
Plane B
Plane A
Spark plugBathtub type
Intake Port
Exhaust Port
8/3/2019 Written 8 Hyun
3/7
RESULTS AND DISCUSSION
Simulation results are presented and considered under
separating the intake, mixture preparation and combustion
processes. Especially, injection condition was changed to
achieve mixture stratification in compression process, and
their influence was also considered.
INTAKE PROCESS Figure 2 presents the results of
calculating flow pattern in intake port and cylinder duringthe overlap period(-21.0BTDC~14.0ATDC) and intake
process. Here, the plane A, B and C is defined in Fig.1. A
is the symmetry plane of the cylinder and plane B is
normal to plane A at the cylinder axis. C is a horizontal
plane just at the vicinity of the fuel injector. Moreover, the
intake port is designed by helical shape, in order to
generate the swirl flow easily. In addition, the combustion
chamber is set up at the position where offset was done
for the cylinder center, and squish is generated easily fo
the bathtub type combustion chamber.
In overlap period, though the flow in combustion chamberhas not changed greatly because valve lift of intake and
exhaust valve is still small, the gas exchange situation is
Combustion chamber
of bathtub type
Combustion chamber
of dogdish type
Crank angle
TDC
70ATDC
120ATDC
(a)
(b)
(c)
Low High
(a)
(b) (c)
(a)
(b)
(c)
Low High
(a)
(b) (c)
(a)
(b)
(c)
(a)
(b)
(c)
Fig.2 Flow fields in overlap period and intake process
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observed through both ports. Moreover, when crank angle
advances and intake valve opens greatly, air for
combustion is entered into the cylinder through intake port
while forming the large scale tumble flow. The shape of
intake port is designed by helical shape as mentioned
above, swirl flow is accompanied, too.
During the intake process, though a great difference is not
seen about flow pattern between bathtub and dogdish typecombustion chamber, the swirl flow becomes strong a
little for bathtub type. Therefore, it is thought that such
flow influences on the following mixture formation and
combustion process.
MIXTURE PREPARATION - The mixture stratification is
the most important factor in In-cylinder injection engine.
Therefore, it is necessary to examine the mixture
formation process by changing the combustion chamber
shape. Thus, the geometry of the piston cavity was
changed as shown in Fig.1. And the fuel-air mixture
formation process in each cavity was observed with
respect to the flow as shown in Fig.3. And fuel injectionconditions have a great influence on mixture formation and
stratified combustion in the cylinder. Therefore, it is
important to control adequately the fuel fluid in association
with the flow in the combustion chamber. Then, the shape
of a combustion chamber, swirl intensity, injection timing
and duration were varied and their effects on the mixture
formation and combustion process were investigated as
shown in Fig.4, 5 and 6.
Mixture formation processes in each combustion chamber
shape - Figure 3 presents the distribution of velocity vector
Fig.3 Distribution of velocity vector and fuel concentration for different combustion chamber in plane A
Crank angle
300CA
Injection Finish
310CA
330CA
340CA
Ignition Start
HighLowCombustion chamber
of bathtub type
Velocity vector Fuel concentration
HighLowCombustion chamber
of dogdish type
Velocity vector Fuel concentration
Fig.4 Equivalence ratio distribution near
the spark plug for the swirl intensity
240.0 270.0 300.0 330.0 360.0
Crank angle [Deg.]
0
0.3
0.6
0.9
1.2
1.5
Equivalence
ratio[-
]
Ba thtub- swirl1. 97 15 00 rpmBathtub-swirl3.73Dogdish-swirl1.97
Dogdish-swirl3.73
1500rpm
240.0 270.0 300.0 330.0 360.0
Crank angle [Deg.]
0
0.3
0.6
0.9
1.2
1.5
Equivalence
ratio[-
]
Ba thtub- swirl1. 97 28 00 rpmBathtub-swirl3.73Dogdish-swirl1.97
Dogdish-swirl3.73
2800rpm
8/3/2019 Written 8 Hyun
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and fuel concentration for each combustion chamber in
plane A. A large vortex is formed at the periphery of the
injected fuel fluid by shear with surrounding air; the vortex
grows while entraining surrounding air. It is considered
that surrounding air and small droplets, as well as the fuel
vapor which has already evaporated, are entrained into the
fuel fluid by these vortices, and move with the fuel fluid
Fuel fluid of this kind impinges on the bottom of the piston
cavity, and progresses along the wall. This flow
characteristic can be observed for all combustion chambe
The piston cavity does not show any effect on fuel fluid
before impingement. However, different behaviors can be
observed after impingement with different combustion
chamber shape. In the case of bathtub type, the vortex
flow after impingement is comparatively weak, because
the vortex flow is attenuated on the other side wall of thenozzle. However, in this case, large scale tumble flow is
observed to be formed until near the ignition timing
(340CA) with the influence of squish flow. Rich mixture is
formed with such flow in the vicinity of the spark plug. In
the case of dogdish type, though growth of a large scale
vortex continues without collapsing after impingement on
the piston cavity wall, the scale is small. Moreover, in this
type, the tumble flow is also formed though the scale is
smaller than bathtub type.
It is understood from the figure of the fuel concentration
distribution that fuel fluid progresses getting on the above
mentioned flow. For bathtub type, after forming a richmixture in vicinity of the wall on the opposing side of the
nozzle, the fuel fluid progresses along the cavity wall, and
rich mixture is formed at the vicinity of the spark plug in
ignition timing. In the case of dogdish type, though the
fuel concentration distribution keeps growing up along the
piston cavity wall, fuel fluid does not move well to the
vicinity of the spark plug in ignition timing as compared
with the bathtub type.
Influence of swirl intensity Fig.4, 5 and 6 present the
distribution of local equivalence ratio within 10.0mm of the
spark plug. The mixture distribution at the vicinity of the
spark plug may be considered in more detail. Figure 4 is
the results of observing the influence that swirl intensity
gives to the mixture formation process, when swir
intensities are 1.97 and 3.73 and engine speeds are
1500rpm and 2800rpm, respectively.
Fig.5 Equivalence ratio distribution near
the spark plug for the injection duration
240.0 270.0 300.0 330.0 360.0
Crank angle [Deg.]
0
0.3
0.6
0.9
1.2
1.5
Equiv
alence
ratio[-
]
Bathtub-Dinj30 1500rpmBathtub-Dinj40Bathtub-Dinj50Dogdish-Dinj30
Dogdish-Dinj40Dogdish-Dinj50
1500rpm
240.0 270.0 300.0 330.0 360.0
Crank angle [Deg.]
0
0.3
0.6
0.9
1.2
1.5
Equivalencer
atio[-
]
Bathtub-Dinj30 2800rpmBathtub-Dinj40Bathtub-Dinj50Dogdish-Dinj30
Dogdish-Dinj40Dogdish-Dinj50
2800rpm
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In the case of engine speed 1500rpm and swirl intensity
1.97, rich mixture in the vicinity of the spark plug is
formed at the range of 330CA to 340CA. The rich mixture
reaches earlier at the vicinity of the spark plug as an
increase of the swirl intensity. But this tendency with the
stronger swirl intensity (3.73) becomes smaller for both
types of combustion chamber.
In the case of engine speed 2800rpm, equivalence ratio in
the vicinity of the spark plug decreases overall. Moreover,there is no great influence by the difference of swirl
intensity, as a little difference is appeared.
Influence of injection duration Figure 5 shows the
influence of injection duration on the mixture formation
process. The simulation conditions are the same as Fig.4,
so that, swirl intensities are 1.97 and 3.73, and engine
speeds are 1500rpm and 2800rpm, respectively. Injection
duration is changed to 30CA, 40CA and 50CA. Local
equivalence ratio at the vicinity of spark plug decreases as
injection duration becomes long for both types of
combustion chamber. Moreover, the highest value of
equivalence ratio appears early as injection durationshortens. And the local equivalence ratio decreases with
increasing engine speed as shown in Fig.4.
Influence of injection timing Figure 6 shows the
distribution of local equivalence ratio near the spark plug
for injection timing. Injection timing is changed to
Tinj=60BTDC(300CA), 90BTDC ( 270CA) and 120BTDC
(240CA), respectively. At 1500rpm, equivalence ratio in
the vicinity of spark plug becomes higher as injection
timing retard. However, in the case of 2800rpm, this
tendency is little difference, while it has the highest value
at Tinj=60BTDC. Moreover, the influence of engine speed
shows the same tendency as mentioned above.
CONCLUSIONS
This work aimed to develop an LPG fueled direct injection
SI engine. The present work used computational fluid
dynamics (CFD) is to examine the changes that occur in
the in-cylinder flow field, mixture preparation and
combustion due to injection conditions, swirl intensity and
geometry of combustion chamber. A numerical simulation
was performed using a CFD code(KIVA-3) , where
combustion chamber shape of bathtub and dogdish type
is used. The results of this work can be summarized asfollows :
1. During the intake process, though a great difference is
not seen about flow pattern between bathtub type and
dogdish type combustion chamber, the swirl flow
becomes strong a little for the bathtub type.
2. The rich mixture reaches earlier at the vicinity of the
spark plug as an increase of the swirl intensity. But
this tendency with the stronger swirl intensity
becomes smaller for both types of combustion
chamber.
3. Local equivalence ratio at the vicinity of spark plug
decreases as injection duration becomes long for both
types of combustion chamber. Moreover, the highes
value of equivalence ratio appears early with
shortening the injection duration. And the loca
equivalence ratio decreases with increasing engine
speed.
4. Equivalence ratio in the vicinity of spark plug becomes
higher as injection timing retard.
REFERENCES
1. Goto, s., Lee, D., Shakal, J., Harayama, N., Honjyo
F. and Ueno, H., Performance and Emissions of an
LPG Lean-Burn Engine for Heavy Duty Vehicles
SAE Paper No.1999-01-1513, 1999.
2. Stavinoha, L. L., Alfaro, E. S., Dobbs, H. H.
Villahermosa, L. A. and Heywood, J. B., Alternative
Fuels: Gas to Liquids as Potential 21st Century TruckFuels, SAE Paper No.2000-01-3422, 2000.
240.0 270.0 300.0 330.0 360.0
Crank angle [Deg.]
0.0
0.3
0.6
0.9
1.2
1.5
Equivalenceratio
[-
]
1500rpmSolid : BathtubPlain : DogdishInjection timing
120BTDC
Injection timing
90BTDC
Injection timing
60BTDC
240.0 270.0 300.0 330.0 360.0
Crank angle [Deg.]
0
0.3
0.6
0.9
1.2
1.5
Equivalence
ratio
[-
]
2800rpmSolid : BathtubPlain : Dogdish
Injection timing
90BTDC
Injection timing60BTDC
Injection timing
120BTDC
Fig.6 Equivalence ratio distribution near
the spark plug for the injection timing
8/3/2019 Written 8 Hyun
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3. Hyun, G., Oguma, M., Alam, M., Ehara, R. and Goto,
S., Spray Characteristics and Exhaust Emissions of
a Diesel Engine Operating with the Blend of Plant Oil
and DME, Proc. 6th Annual Conference on Liquid
Atomization and Spray Systems-Asia (ILASS-Asia
'99), pp. 253-258, 2001.
4. Kuwahara, K., Ueda, K. and Ando, H., Mixing Control
Strategy for Engine Performance Improvement in a
Gasoline Direct Injection Engine, SAE Paper
No.980158, 1998.5. Preussner, C., Doring, C., Fehler, S. and Kampmann,
S., GDI: Interaction Between Mixture Preparation,
Combustion System and Injector Performance, SAE
Paper No.980498, 1998.
6. Harada, J., Tomita, T., Mizuno, H., Mashiki, Z. and Ito,
Y., Development of Direct Injection Gasoline Engine,
SAE Paper No.970540, 1997.
7. Amsden, A. A., ORourke, P. J. and Butler, T. D.,
KIVA- : A Computer Program for Chemically Reactive
Flows with Sprays, Los Alamos National Laboratory
Report LA-11560-MS, 1989.
8. Amsden, A. A., KIVA- : A KIVA Program with Block
Structured Mesh for Complex Geometries, Los
Alamos National Laboratory Report LA-12503-MS
1993.
9. Soltani, S. and Veshagh, A., CFD Analysis of Effec
of Staggered Intake Valve Timing on Mixture
Preparation and Combustion in a Four-valve S
Engine, 1999 Spring Technical Conference ASME,
Paper No.99-ICE-169, 1999.
CONTACT
Gisoo Hyun, Dr.Engrg.
Clean Power System Research Group
Energy Utilization Research Department,
National Institute of Advanced Industrial Science &
Technology
1-2 Namiki, Tsukuba, Ibaraki 305-8564, Japan
Tel:+81-298-61-7863, Fax:+81-298-61-7275
E-mail: [email protected]