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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 2812
Numerical Simulation for Spray Characteristics of Diesel and
Biodiesel fuel
M.Dyanesh1, Nishanth Paul.V2, Girish Ethiraj3, P Raghu4
1,2,3,4 Department of Mechanical Engineering, Sri Venkateswara College of Engineering, Sriperumbudur โ€“ 602117,
Tamilnadu, India
--------------------------------------------------------------------------***---------------------------------------------------------------------------
ABSTRACT: The main purpose of this study istoenhancethe
spray of internal combustion engines using dynamic mesh
refinement. The first part of the this study usesadvancedspray
models with a dynamic mesh refinement plot to simulate the
atomization of diesel and bio-diesel sprays. Earlier diesel
sprays and bio-diesel sprays were simulated using distinct
models due to the difference in their properties. Real time
Engine simulations with bio-diesel fuel injection were
conducted in a vertical valve engine geometry using ANSYS
FLUENT 19.0. The injected fuel spray characteristics such as
Sauter mean diameter (SMD), spray cone angle (ฮธ ), spray tip
penetration (l) and fuel/air mixture were studied under the
presence of in-cylinder flow. The current spray model with
dynamic mesh refinement algorithm is exhibited to forecast
the spray structure and liquid penetration accurately with
sensible computational cost, which can thenlaterbeutilizedto
promote the current computational fluiddynamicmodelsused
to model an engine's combustor. This will be more economical
as well as time-saving, in the design and development stages.
In recent era diesel engine has been greatly involved in terms
of higher efficiency and pollutant emissions. Due to
uncompromising international regulation and emission
restrictions, study on spray simulation will assist inenhancing
the fuel injection by examining spray characteristics. Spray
characteristics simulation is simulated by varying fuel
Injection Pressure for diesel as well as biodiesel.
Key words: ANSYS, SMD, Spray coneangle
1. Introduction
Due to the expanding significance of environment emissions
standards and fuel economy, vehicle research and
developers are demanded to refine and boost the
combustion procedure. In spite the quantitative
uncertainties of simulation through numerical way,
modelling of fuel spray and combustion procedure has
significant benefit that make its application in on-going
engine research and development inevitable. Simulation
through Numerical methods can possibly provide
comprehensive data about the tedious in-cylinder process.
However, specific models is necessary.
The synergy of 300 MPa injection pressure and 0.08 mm
nozzle-hole diameter apparently gave the leading
performance in wordsof turbulent mixture rate and droplet
size reduction to lessen the mixture process and lean
mixture formation [1]. The version is also integrated with
sub-models including, spray, droplet collision, wall filmed
combustion model along with the species transport and
finite rate chemistry. The bowl-in-piston combustion
geometry was utilized for construction of model. In this
work RNG k- ฮต model is applied to confine in-cylinder
turbulence [2].
Investigations through numericalmethodsareconductedfor
biodiesel spray under transient engine state. The spray tip
penetration of biodiesel has been analysed in acontrastwith
diesel fuel in a diesel engine under transient engine state.
The projected results are compared with data available
experimentally with a chosen case for highly ambient
pressure. The study usesthe Eulerian-Eulerian approachfor
the two phase flow simulation [3].
The effect of combustion is found to change the shape
and structure of the central recirculation zone to be more
compact in length but larger in diameter in the transverse
direction. In-addition the results show that the gas phase
radiation alters the spray dynamics by changing the local
gas-phase temperature distribution. This affects the spray
evaporation rate, the local mixture fraction, and accordingly
the combustion heat released rate and the forecast
emissions. The simulation with no radiation modelling
shows over prediction in the temperature distribution,
pollutants emissions, higher fuel evaporation rate, and
narrower range of droplet size distribution with lower
number density for the smaller size particles. Only Large-
Size particlesare considered and not the small-size droplets
in the experiment as the flow exhibits high unsteadiness in
small-size. The high unsteadiness of the shear layer is
confirmed by root mean square(rms) values atthefirstthree
locations, where the rms value is around 100% of the
corresponding mean value [4].
Fig: 1 Fuel spray terminology
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 2813
This to improve the predictive capabilities of spray breakup
and combustion models. The initial aim is to progress a
unified spray model to be used with dynamic mesh
refinement to simulate spray atomization in diesel and bio-
diesel engines. The model will be confirmedbyexperimental
data of both diesel and bio-diesel sprays. Fig1. shows the
Fuel spray terminology.
Spray model to be used with dynamic mesh refinement to
simulate spray atomization in diesel and bio-diesel engines.
The model will be confirmed by experimental data of both
diesel and bio-diesel sprays. Fig1. shows the Fuel spray
terminology.
2. Numerical simulation
Physical fluid flow problem can be solved both
experimentally and numerically.TheNumericalsimulationis
more worthy for parametric studiesand it also givesprecise
results by decoding governing equations in each and every
cell of the fluid domain. In the recent years there has been
huge development in the field of numerical technique,which
has made a high effect on the evaluation of complex flow
problems and achieving their solution.
The test cases examined in the present investigationarefree
atmospheric spray, impinging flat wall diesel spray and
engine spray, the numerical simulation is carried out by
using commercial accessible CFD software called ANSYS
19.0. The work is focused only on the spray that is injected
from the nozzle having different characteristics like size,
velocity, density etc.
Model description
A general physical description of the sub model used for the
simulation of the gas and liquid phases of the fuel spray isas
follows.
2.1 Gas Phase
The simulation through numerical methods for flow and
mixture formation is based on an Eulerian descriptionofthe
gas phase and on a Langrangian description of the droplet
phase. The interaction between the both phasesisdescribed
by source terms for momentum, heat and mass exchange.
The droplets are considered as disperse phase. The
motion of the dispersed phase will be influenced by that of
the continuous one and interphase, momentum, mass and
heat transfer effects. The strength of the interaction will
depend on the dispersed particleโ€™s size, density and number
density.
When the dispersed phase is volatile soluble or
reactive, mass transfer occurs between the phases. This is
accompanied by interphase heat transfer, which may also
arise due to the interphase temperature difference.
Interphase masstransfer cause size changesinthedispersed
element.
The size change may also be produced by fluid-
dynamics forces acting on the dispersed elements causing
them to break up into smaller elements. Inter element
collisions processes may also produce the opposite effects
(i.e) size increase due to coalescence or agglomeration.
3. NUMERICAL MESH
The initial crucial task in the process of simulation is
creating a computational mesh to representtheflowdomain
geometry. The mesh generalise shown in Table: 1
Table: 1 Mesh dimension
Bore (mm) 20*20
Stroke (mm) 100
Capacity (cc) 40
Injection 180,200,220
pressure (bar)
Mesh Fine Mesh
Numerical mesh is shown in fig 2and3. The Experimental
condition way shown in Table: 2
4. MESH
This methodology has been widely used for the spray
modelling and is also implemented in the CFD-code ANSYS.
The turbulent gas flow is described by a numerical
simulation of the complete ensemble averaged equations of
the conservation of mass, momentum, energy and species
mass fraction in an unstructured numerical mesh.
Turbulence is modelled using a standard k-ษ›. model.
Fig: 2 Mesh side view
2.2 Dispersed phase
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 2814
Fig: 3 Top view of Mesh
5. RESULTS AND DISCUSSION
The purpose of the current study is to investigate
the spray characteristics, fuel droplet atomizationbehaviour
and non-dimensional behaviour of the test diesel and
biodiesel blends by varying injectionpressure(180,200,220
bar) IN ANSYS 19.0 (FLUENT). Fuels with higher density
show inferior spray and atomization characteristics. When
fuel injection starts, droplets move fast and tend to break
into smaller droplets.
The droplets size distribution depends on the density of the
fuel to a high extent. The atomization phenomenonoccursin
millisecond after the point of injection. Fuels having higher
density lead to higher spray penetration and poor
atomization because of their higher inter-molecular forces.
This leads to formation of larger-fuel droplets, which has
relatively higher inertia and therefore they travel longer
distance in the spray chamber. Higher spray tip penetration
and poor atomization behaviour of fuels may cause
inefficient fuel-air mixing and may consequently lead to
formation of higher soot in the engine.
Figure 4,5,6 shows the comparison between the
experimental value and Numerical value for spray length,
spray cone angle and SMD. It is observed that Experimental
values are very close to the simulated value. The percentage
error in Diesel for Spray length (9%), cone angle (5.6%),and
SMD (2.64%) are respectively. The percentage error in
KOME for Spray length (1.29%), cone angle (1.21%), and
SMD (1.45%) respectively. The percentage errorinKB20for
Spray length (1.14%), cone angle (1.05%), andSMD(1.13%)
are respectively. By doing the Numerical simulation the
Experimental work was reduced.
Experimental condition Table 2
Chamber Temperature 180ยบC
Fuel temperature 50ยบC
Chamber Pressure 60 bar
Fig: 4 comparison of Experimental and Simulation value
Spray length
Fig: 5 Comparison of Experimental and Simulation value of
Spray cone angle.
Fig: 6 Comparison of Experimental and simulation value of
SMD
6. CONCLUSION
Simulation of spray characteristics has been simulated with
three different pressures of 180bar, 200bar, 220bar to
derive the spray length, spray cone angle, Sauter mean
diameter. Values for KB20 giveslesspercentage comparedto
diesel and KOME.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 2815
Modelling of Spray characteristicsusing 180 bar pressure at
constant fuel temperature gives 93mm of spray length with
4ยฐ cone angle along with 5.73e-3mm of sauter mean
diameter. Spray characteristics for 200 bar pressure at
constant fuel temperature was observed as 98mm of spray
length with 3.2ยฐ wide angle and also has an 6.50e-10 of
sauter mean diameter. With 220 bar pressure of injection
Spray angle was observed as 105mm with cone angleof2.8ยฐ
and sauter mean diameter of 6.63e-10.
7. ACKNOWLEDGEMENT
We hereby thank our Institution Sri Vennkateswara College
of Engineering, Head of Department ,Mechanical and the
Principal.
8. REFERENCES
1) Raghu, P., et al. "Experimental study of mixture
formation in biodiesel spray with preheated fuel."
International Journal of Applied Engineering
Research 10.19: 2015.
2) Nishida, Keiya, et al. "Effects of micro-hole nozzle
and ultra-high injection pressure on air
entrainment, liquid penetration, flame lift-off and
soot formation of diesel spray flame." International
Journal of Engine Research 18.1-2 (2017): 51-65.
3) Majhool, Ahmed Abed Al-Kadhem, and Abbas Alwi
Sakhir AL Jeebori. "Study Of Modelling Spray
Penetration Of Biodisel Fuel Under Transient
Engine Conditions." Academic Research
International 3.3 (2012): 70.
4) El-Asrag, Hossam A., Anthony C. Iannetti, and
Sourabh V. Apte. "Large eddy simulations for
radiation-spray coupling for a lean direct injector
combustor." Combustion and Flame 161.2 (2014):
510-524.
5) Pei, Yuanjiang, et al. "Large eddy simulation of a
reacting spray flame with multiple realizations
under compression ignition engine conditions."
Combustion and Flame 162.12 (2015): 4442-4455.
6) Kongre, Umakant V., and Vivek K. Sunnapwar. "CFD
Modelling and Experimental Validation of
Combustion in Direct Ignition Engine Fuelled with
Diesel." International Journal of Applied
Engineering Research 1.3 (2010): 508.
7) Kolhe, Ajay V., Rajesh E. Shelke, and S. S. Khandare.
"Combustion Modeling with CFD in Direct Injection
CI Engine Fuelled with Biodiesel." Jordan Journal of
Mechanical and Industrial Engineering 9.1 (2015).

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IRJET- Numerical Simulation for Spray Characteristics of Diesel and Biodiesel fuel

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 2812 Numerical Simulation for Spray Characteristics of Diesel and Biodiesel fuel M.Dyanesh1, Nishanth Paul.V2, Girish Ethiraj3, P Raghu4 1,2,3,4 Department of Mechanical Engineering, Sri Venkateswara College of Engineering, Sriperumbudur โ€“ 602117, Tamilnadu, India --------------------------------------------------------------------------***--------------------------------------------------------------------------- ABSTRACT: The main purpose of this study istoenhancethe spray of internal combustion engines using dynamic mesh refinement. The first part of the this study usesadvancedspray models with a dynamic mesh refinement plot to simulate the atomization of diesel and bio-diesel sprays. Earlier diesel sprays and bio-diesel sprays were simulated using distinct models due to the difference in their properties. Real time Engine simulations with bio-diesel fuel injection were conducted in a vertical valve engine geometry using ANSYS FLUENT 19.0. The injected fuel spray characteristics such as Sauter mean diameter (SMD), spray cone angle (ฮธ ), spray tip penetration (l) and fuel/air mixture were studied under the presence of in-cylinder flow. The current spray model with dynamic mesh refinement algorithm is exhibited to forecast the spray structure and liquid penetration accurately with sensible computational cost, which can thenlaterbeutilizedto promote the current computational fluiddynamicmodelsused to model an engine's combustor. This will be more economical as well as time-saving, in the design and development stages. In recent era diesel engine has been greatly involved in terms of higher efficiency and pollutant emissions. Due to uncompromising international regulation and emission restrictions, study on spray simulation will assist inenhancing the fuel injection by examining spray characteristics. Spray characteristics simulation is simulated by varying fuel Injection Pressure for diesel as well as biodiesel. Key words: ANSYS, SMD, Spray coneangle 1. Introduction Due to the expanding significance of environment emissions standards and fuel economy, vehicle research and developers are demanded to refine and boost the combustion procedure. In spite the quantitative uncertainties of simulation through numerical way, modelling of fuel spray and combustion procedure has significant benefit that make its application in on-going engine research and development inevitable. Simulation through Numerical methods can possibly provide comprehensive data about the tedious in-cylinder process. However, specific models is necessary. The synergy of 300 MPa injection pressure and 0.08 mm nozzle-hole diameter apparently gave the leading performance in wordsof turbulent mixture rate and droplet size reduction to lessen the mixture process and lean mixture formation [1]. The version is also integrated with sub-models including, spray, droplet collision, wall filmed combustion model along with the species transport and finite rate chemistry. The bowl-in-piston combustion geometry was utilized for construction of model. In this work RNG k- ฮต model is applied to confine in-cylinder turbulence [2]. Investigations through numericalmethodsareconductedfor biodiesel spray under transient engine state. The spray tip penetration of biodiesel has been analysed in acontrastwith diesel fuel in a diesel engine under transient engine state. The projected results are compared with data available experimentally with a chosen case for highly ambient pressure. The study usesthe Eulerian-Eulerian approachfor the two phase flow simulation [3]. The effect of combustion is found to change the shape and structure of the central recirculation zone to be more compact in length but larger in diameter in the transverse direction. In-addition the results show that the gas phase radiation alters the spray dynamics by changing the local gas-phase temperature distribution. This affects the spray evaporation rate, the local mixture fraction, and accordingly the combustion heat released rate and the forecast emissions. The simulation with no radiation modelling shows over prediction in the temperature distribution, pollutants emissions, higher fuel evaporation rate, and narrower range of droplet size distribution with lower number density for the smaller size particles. Only Large- Size particlesare considered and not the small-size droplets in the experiment as the flow exhibits high unsteadiness in small-size. The high unsteadiness of the shear layer is confirmed by root mean square(rms) values atthefirstthree locations, where the rms value is around 100% of the corresponding mean value [4]. Fig: 1 Fuel spray terminology
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 2813 This to improve the predictive capabilities of spray breakup and combustion models. The initial aim is to progress a unified spray model to be used with dynamic mesh refinement to simulate spray atomization in diesel and bio- diesel engines. The model will be confirmedbyexperimental data of both diesel and bio-diesel sprays. Fig1. shows the Fuel spray terminology. Spray model to be used with dynamic mesh refinement to simulate spray atomization in diesel and bio-diesel engines. The model will be confirmed by experimental data of both diesel and bio-diesel sprays. Fig1. shows the Fuel spray terminology. 2. Numerical simulation Physical fluid flow problem can be solved both experimentally and numerically.TheNumericalsimulationis more worthy for parametric studiesand it also givesprecise results by decoding governing equations in each and every cell of the fluid domain. In the recent years there has been huge development in the field of numerical technique,which has made a high effect on the evaluation of complex flow problems and achieving their solution. The test cases examined in the present investigationarefree atmospheric spray, impinging flat wall diesel spray and engine spray, the numerical simulation is carried out by using commercial accessible CFD software called ANSYS 19.0. The work is focused only on the spray that is injected from the nozzle having different characteristics like size, velocity, density etc. Model description A general physical description of the sub model used for the simulation of the gas and liquid phases of the fuel spray isas follows. 2.1 Gas Phase The simulation through numerical methods for flow and mixture formation is based on an Eulerian descriptionofthe gas phase and on a Langrangian description of the droplet phase. The interaction between the both phasesisdescribed by source terms for momentum, heat and mass exchange. The droplets are considered as disperse phase. The motion of the dispersed phase will be influenced by that of the continuous one and interphase, momentum, mass and heat transfer effects. The strength of the interaction will depend on the dispersed particleโ€™s size, density and number density. When the dispersed phase is volatile soluble or reactive, mass transfer occurs between the phases. This is accompanied by interphase heat transfer, which may also arise due to the interphase temperature difference. Interphase masstransfer cause size changesinthedispersed element. The size change may also be produced by fluid- dynamics forces acting on the dispersed elements causing them to break up into smaller elements. Inter element collisions processes may also produce the opposite effects (i.e) size increase due to coalescence or agglomeration. 3. NUMERICAL MESH The initial crucial task in the process of simulation is creating a computational mesh to representtheflowdomain geometry. The mesh generalise shown in Table: 1 Table: 1 Mesh dimension Bore (mm) 20*20 Stroke (mm) 100 Capacity (cc) 40 Injection 180,200,220 pressure (bar) Mesh Fine Mesh Numerical mesh is shown in fig 2and3. The Experimental condition way shown in Table: 2 4. MESH This methodology has been widely used for the spray modelling and is also implemented in the CFD-code ANSYS. The turbulent gas flow is described by a numerical simulation of the complete ensemble averaged equations of the conservation of mass, momentum, energy and species mass fraction in an unstructured numerical mesh. Turbulence is modelled using a standard k-ษ›. model. Fig: 2 Mesh side view 2.2 Dispersed phase
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 2814 Fig: 3 Top view of Mesh 5. RESULTS AND DISCUSSION The purpose of the current study is to investigate the spray characteristics, fuel droplet atomizationbehaviour and non-dimensional behaviour of the test diesel and biodiesel blends by varying injectionpressure(180,200,220 bar) IN ANSYS 19.0 (FLUENT). Fuels with higher density show inferior spray and atomization characteristics. When fuel injection starts, droplets move fast and tend to break into smaller droplets. The droplets size distribution depends on the density of the fuel to a high extent. The atomization phenomenonoccursin millisecond after the point of injection. Fuels having higher density lead to higher spray penetration and poor atomization because of their higher inter-molecular forces. This leads to formation of larger-fuel droplets, which has relatively higher inertia and therefore they travel longer distance in the spray chamber. Higher spray tip penetration and poor atomization behaviour of fuels may cause inefficient fuel-air mixing and may consequently lead to formation of higher soot in the engine. Figure 4,5,6 shows the comparison between the experimental value and Numerical value for spray length, spray cone angle and SMD. It is observed that Experimental values are very close to the simulated value. The percentage error in Diesel for Spray length (9%), cone angle (5.6%),and SMD (2.64%) are respectively. The percentage error in KOME for Spray length (1.29%), cone angle (1.21%), and SMD (1.45%) respectively. The percentage errorinKB20for Spray length (1.14%), cone angle (1.05%), andSMD(1.13%) are respectively. By doing the Numerical simulation the Experimental work was reduced. Experimental condition Table 2 Chamber Temperature 180ยบC Fuel temperature 50ยบC Chamber Pressure 60 bar Fig: 4 comparison of Experimental and Simulation value Spray length Fig: 5 Comparison of Experimental and Simulation value of Spray cone angle. Fig: 6 Comparison of Experimental and simulation value of SMD 6. CONCLUSION Simulation of spray characteristics has been simulated with three different pressures of 180bar, 200bar, 220bar to derive the spray length, spray cone angle, Sauter mean diameter. Values for KB20 giveslesspercentage comparedto diesel and KOME.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 2815 Modelling of Spray characteristicsusing 180 bar pressure at constant fuel temperature gives 93mm of spray length with 4ยฐ cone angle along with 5.73e-3mm of sauter mean diameter. Spray characteristics for 200 bar pressure at constant fuel temperature was observed as 98mm of spray length with 3.2ยฐ wide angle and also has an 6.50e-10 of sauter mean diameter. With 220 bar pressure of injection Spray angle was observed as 105mm with cone angleof2.8ยฐ and sauter mean diameter of 6.63e-10. 7. ACKNOWLEDGEMENT We hereby thank our Institution Sri Vennkateswara College of Engineering, Head of Department ,Mechanical and the Principal. 8. REFERENCES 1) Raghu, P., et al. "Experimental study of mixture formation in biodiesel spray with preheated fuel." International Journal of Applied Engineering Research 10.19: 2015. 2) Nishida, Keiya, et al. "Effects of micro-hole nozzle and ultra-high injection pressure on air entrainment, liquid penetration, flame lift-off and soot formation of diesel spray flame." International Journal of Engine Research 18.1-2 (2017): 51-65. 3) Majhool, Ahmed Abed Al-Kadhem, and Abbas Alwi Sakhir AL Jeebori. "Study Of Modelling Spray Penetration Of Biodisel Fuel Under Transient Engine Conditions." Academic Research International 3.3 (2012): 70. 4) El-Asrag, Hossam A., Anthony C. Iannetti, and Sourabh V. Apte. "Large eddy simulations for radiation-spray coupling for a lean direct injector combustor." Combustion and Flame 161.2 (2014): 510-524. 5) Pei, Yuanjiang, et al. "Large eddy simulation of a reacting spray flame with multiple realizations under compression ignition engine conditions." Combustion and Flame 162.12 (2015): 4442-4455. 6) Kongre, Umakant V., and Vivek K. Sunnapwar. "CFD Modelling and Experimental Validation of Combustion in Direct Ignition Engine Fuelled with Diesel." International Journal of Applied Engineering Research 1.3 (2010): 508. 7) Kolhe, Ajay V., Rajesh E. Shelke, and S. S. Khandare. "Combustion Modeling with CFD in Direct Injection CI Engine Fuelled with Biodiesel." Jordan Journal of Mechanical and Industrial Engineering 9.1 (2015).