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S G Karunanidhi et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 1), July 2014, pp.68-73 
www.ijera.com 68 | P a g e 
CFD Studies of Combustion in Direct Injection Single Cylinder Diesel Engine Using Non-Premixed Combustion Model S Gavudhama Karunanidhi*, Nithin Balakrishnan**, G Subba Rao*** Assoc.Profesor*( Department of Mechanical Engg MES College of Engg Kuttipuram, Kerala) PG Scholar, ** (MES College of Engineering, Kuttippuram,Kerala, Calicut University) Principal, *** (Geethanjali Institute of Science and Technology, Nellore) ABSTRACT In this study the simulation process of non-premixed combustion in a direct injection single cylinder diesel engine has been described. Direct injection diesel engines are used both in heavy duty vehicles and light duty vehicles. The fuel is injected directly into the combustion chamber. The fuel mixes with the high pressure air in the combustion chamber and combustion occurs. Due to the non-premixed nature of the combustion occurring in such engines, non-premixed combustion model of ANSYS FLUENT 14.5 can be used to simulate the combustion process. A 4-stroke diesel engine corresponds to one fuel injector hole without considering valves was modeled and combustion simulation process was studied. Here two types of combustion chambers were compared. Combustion studies of both chambers:- shallow depth and hemispherical combustion chambers were carried out. Emission characteristics of both combustion chambers had also been carried out. The obtained results are compared. It has been found that hemispherical combustion chamber is more efficient as it produces higher pressure and temperature compared to that of shallow depth combustion chamber. As the temperature increases the formation of NOx emissions and soot formation also get increased. 
Keywords– CFD, Combustion modeling, Diesel combustion, k-ε model, NOx emissions 
I. INTRODUCTION 
In direct injection diesel engines there are different types of combustion chambers. Each one is having different characteristics of producing pressure, temperature and emissions. Here a detailed study has been carried out between two combustion chambers in order to have a clear clarification in studying the change in pressure temperature and emission characteristics. Two combustion chambers:- shallow depth chamber (SCC) and hemispherical combustion chamber (HCC) were taken into consideration. The two combustion chambers were modeled (a sector geometry of 600 using ANSYS WORKBENCH and analysis part were carried out using CFD tool (Fluent, ANSYS 14.5 package). By using the finite volume method the design and analysis of combustion chambers, emission characteristic study were done for both combustion chambers. Proper comparison of the results where carried and percentage rise in pressure and temperature had been calculated. Carnot efficiency of both of the combustion chambers were calculated and had found out which one is more efficient. 
II. PROCEDURE IN COMPUTATION 
The combustion simulation of compression ignition engine with different piston configurations were developed using Fluent software (ANSYS 14.5 package) and the various equations of the multi- 
dimensional model were solved by the software automatically . The main inputs include engine speed, injection details of single injection, bore, stroke, connecting rod length, initial pressure and temperature[1].The program concerning the simulation model predicts the cylinder pressure, cylinder temperature, emission etc. The results including graphs and various contours (pressure, temperature, NOx and Soot) were generated by Fluent software . 
III. DEFINITION OF MODEL 
Two 3D cylinder geometries with centrally located injector were considered .The mesh was created using ANSYS WORKBENCH. The engine geometry details and specification details are given below. . A hex dominant mesh was created uniformly throughout the area and analyzed using FLUENT, ANSYS 14.5 package. The complete meshed geometry contains 18644 faces and 42932 nodes. Fig.1 Shows the meshed geometry of the cylinder. Connecting rod length :140 mm Bore :80 mm Crank radius :55 mm Crank shaft speed :1500 rpm 
RESEARCH ARTICLE OPEN ACCESS
S G Karunanidhi et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 1), July 2014, pp.68-73 
www.ijera.com 69 | P a g e 
Fig.1 Meshed Geometries of the cylinder. 
IV. MODELING TURBULENCE 
Turbulent flows are characterized by fluctuating velocity fields. These fluctuations mix transported quantities such as momentum, energy, and species concentration, and cause the transported quantities to fluctuate as well. Since these fluctuations can be of small scale and high frequency, they are too computationally expensive to simulate directly in practical engineering calculations. Instead, the instantaneous (exact) governing equations can be time-averaged or otherwise manipulated to remove the small scales, resulting in a modified set of equations that are computationally less expensive to solve. However, the modified equations contain additional unknown variables, and turbulence models are needed to determine these variables in terms of known quantities. In this analysis standard k-ε model[1] is used.. In the derivation of the k- ε model, the assumption is that the flow is fully turbulent, and the effects of molecular viscosity are negligible. The standard k-ε model is therefore valid only for fully turbulent flows. The turbulent (or eddy) viscosity, μt, is computed by combining k and ε as follows: 
V. BOUNDARY CONDITIONS 
The boundary conditions should be given after modeling the geometry .In the analysis viscous standard k-e model is enabled for non premixed combustion model. The injection parameters and specifications are given below X-position :0.50038 mm Y- velocity :468 m/s Diameter :0.287 mm Temperature :341 K Flow rate :0.001044 kg/S Start crank angle :355 deg 
Stop crank angle :377deg 
VI. RESULTS AND DISCUSSIONS 
1. Combustion characteristics for SCC The combustion characteristics for both shallow depth and hemispherical combustion chambers are done..And the values of peak pressure and the temperature was approximately equal to the theoretical values. 1.1 Cylinder pressure and temperature for SCC Fig. 2. Pressure v/s Flow time Fig. 3. Temperature v/s Flow time 
Fig 4. Contours of static pressure at 3600 CA
S G Karunanidhi et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 1), July 2014, pp.68-73 
www.ijera.com 70 | P a g e 
Fig 5. Contours of static pressure at 5400 CA Fig 6. Contours of static temperature at 3600 CA 
Fig 7. Contours of static temperature at 5400 CA 
From the above graphs and contours at crank angles 3600 and 5400, it has been observed that the peak cylinder pressure is about 59.34 × 105 Pa and cylinder peak temperature of about 1739.56 K. 
1.2 Emission characteristics for SCC Fig 8. Contours of mass fraction of pollutant NO Fig 9. Contours of mass fraction of soot From the contours of mass fraction of NOx emissions and soot formation it has been understood that NOx formation is occurring at regions where the temperature is high and soot formation, at regions where temperature is comparatively low. 2. Combustion characteristics for HCC 2.1 Cylinder pressure and temperature for HCC
S G Karunanidhi et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 1), July 2014, pp.68-73 
www.ijera.com 71 | P a g e 
Fig. 10. Pressure v/s Flow time Fig. 11. Temperature v/s Flow time Fig 12. Contours of static pressure at 3600 CA Fig 13. Contours of static pressure at 5400 CA Fig 14. Contours of static temperature at 3600 CA 
Fig 15. Contours of static temperature at 5400 CA 
From the above graphs and contours at crank angles 3600 and 5400, it has been observed that the
S G Karunanidhi et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 1), July 2014, pp.68-73 
www.ijera.com 72 | P a g e 
peak cylinder pressure is about 69.19 × 105 Pa and cylinder peak temperature of about 1853.71 K. 2.2 Emission characteristics for HCC Fig 14. Contours of mass fraction of pollutant NO Fig 15. Contours of mass fraction of soot From the contours of mass fraction of NOx emissions and soot formation it has been understood that NOx formation is occurring at regions where the temperature is high and soot formation, at regions where temperature is comparatively low. 3. Comparison of results Table 1. Result comparison 
Combustion chamber 
Static Pressure (Pa) 
Static temperature(K) 
Shallow depth 
59.34 × 105 
1739.64 
Hemispherical 
69.19 × 105 
1853.71 
% increase 
16.59 
6.56 
Table 2. Result comparison for emissions 
Combustion chamber 
Mass Fraction of Pollutant NO 
Mass Fraction of Soot 
Shallow Depth 
3.78 × 10-07 
1.29 × 10-13 
Hemispherical 
4.26 × 10-04 
2.53 × 10-10 
From the above compared results it had been found that hemispherical combustion chamber is producing more cylinder pressure and temperature. The percentage rise in pressure and temperature were also shown. 3.1 Carnot efficiency comparison For Shallow depth combustion chamber: Carnot Efficiency= (T2-T1)/T2 T1 (Initial temp) = 750K T2 (Final temp) = 1739.64K Carnot Efficiency (η) = (1739.64 - 750)/1739.64 = 0.569 = 56.9% For Hemispherical combustion chamber Carnot Efficiency= (T2-T1)/T2 T1 (Initial temp)= 750K T2 (Final temp)= 1853.71K Carnot Efficiency(η)= (1853.71-750)/1853.71 = 0.595 = 59.5% % increase in Carnot efficiency= ={(59.5/56.9)*100}100 = 4.57% 
VII. CONCLUSION 
The two combustion chamber models were modeled using ANSYS WORKBENCH and the combustion phenomena were analyzed using ANSYS FLUENT 14.5. The results show values comparable to theoretical values. Here two combustion chambers results were compared and following observations were made. The results are as follows:  Numerical analysis result shows that hemispherical piston head provides much better performance than the shallow depth. This is due to the high turbulent intensity formed within the cylinder. 
 Hemispherical combustion chamber is giving high pressure when compared to shallow depth combustion chamber. The pressure rise is about 16.59%. 
 Hemispherical combustion chamber gives high temperature compared to shallow depth combustion chamber. The temperature rise is about 6.56%. 
 When Carnot efficiency of both of the combustion chambers were compared it has been observed that carnot efficiency is more for hemispherical combustion chamber. When the increase in carnot efficiency is calculated, it is about 4.57%. 
 The rise in temperature in hemispherical combustion chamber has shown significant increase of NOx emissions and soot formation. In the combustion chambers NOx emissions are
S G Karunanidhi et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 1), July 2014, pp.68-73 
www.ijera.com 73 | P a g e 
found at the regions of high temperature whereas soot formation is occurring at regions where temperature is comparatively low. 
 NOx emissions can be reduced by changing injection timing as well as injection quantity. 
 The change in geometry of combustion chambers that is by changing the piston head configurations considerable changes have been obtained. 
REFERENCES 
[1] Apparao K, Srinivasa Rao P and Rajagopal K, “Study of multiple injections in (Homogeneous charge compression ignition) HCCI engine using computational fluid dynamics”, Journal of Mechanical Engineering Research Vol. 3(4), pp. 103- 113, April 2011. [2] A. R. Binesh, and S. Hossainpour, “Three Dimensional Modeling of Mixture Formation and Combustion in a Direct Injection Heavy-Duty Diesel Engine” , International Journal of Aerospace and Mechanical Engineering 2:4 2008. [3] Heywood, John B , “Internal combustion engines fundamentals”, 1988, pp:668-671. [4] Joon Kyu Lee, Yong-Mo Kim, Jae-Hyun Ahn, “Numerical Modeling of Combustio Processes and Pollutants Formations in Direct-Injection Diesel Engines”, KSME International Journal, VoL 16No. 7, pp. 1009--1018, 2002. [5] Mohamed Bencherif, Mohand Tazerout, Abdelkrim Liazid, “Turbulence-Combustion Interaction in Direct Injection Diesel Engine”. [6] P.A. Lakshminarayanan ,Yogesh V. Aghav, " Modelling Diesel Combustion" ,Springer Publications, June 2009 , 09-281. [7] R. Manimaran, R. Thundil Karuppa Raj, K. Senthil Kumar, “Premixed Charge Compression Ignition in a Direct Injection Diesel Engine using Computational Fluid Dynamics”. [8] Sudhakar Das, "CFD Study of Multiple Injections in a Diesel Engine" ILASS Americas, 25th Annual Conference on Liquid Atomization and Spray Systems, Pittsburgh, PA, May 2013. [9] Shahrir Abdullah, Wendy Hardyono Kurniawan and Azhari Shamsudeen, “Numerical Analysis of the Combustion Process in a Compressed Natural Gas Direct Injection Engine” Journal of Applied Fluid Mechanics, Vol. 1, No. 2, pp. 65-86, 2008. 
[10] Tutorial: Modeling Non-Premixed Combustion, “14.1 Description of the Equilibrium Mixture Fraction/ PDF Model , Fluent Inc. November 28, 2001”. 
[11] Umakant V. Kongre , Vivek K. Sunnapwar, “CFD Modeling and Experimental Validation of Combustion in Direct Ignition Engine Fueled with Diesel”, International Journal of Applied Engineering Research, Dindigul, Volume 1, no 3, 2010. [12] Watanabe T., Daidoji S., Keshav S. V, 2000, “Relationship between visible spray observations and DI diesel engine performance”. Transaction of the ASME, vol.122,596-602.

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CFD Studies of Combustion in Direct Injection Single Cylinder Diesel Engine Using Non-Premixed Combustion Model

  • 1. S G Karunanidhi et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 1), July 2014, pp.68-73 www.ijera.com 68 | P a g e CFD Studies of Combustion in Direct Injection Single Cylinder Diesel Engine Using Non-Premixed Combustion Model S Gavudhama Karunanidhi*, Nithin Balakrishnan**, G Subba Rao*** Assoc.Profesor*( Department of Mechanical Engg MES College of Engg Kuttipuram, Kerala) PG Scholar, ** (MES College of Engineering, Kuttippuram,Kerala, Calicut University) Principal, *** (Geethanjali Institute of Science and Technology, Nellore) ABSTRACT In this study the simulation process of non-premixed combustion in a direct injection single cylinder diesel engine has been described. Direct injection diesel engines are used both in heavy duty vehicles and light duty vehicles. The fuel is injected directly into the combustion chamber. The fuel mixes with the high pressure air in the combustion chamber and combustion occurs. Due to the non-premixed nature of the combustion occurring in such engines, non-premixed combustion model of ANSYS FLUENT 14.5 can be used to simulate the combustion process. A 4-stroke diesel engine corresponds to one fuel injector hole without considering valves was modeled and combustion simulation process was studied. Here two types of combustion chambers were compared. Combustion studies of both chambers:- shallow depth and hemispherical combustion chambers were carried out. Emission characteristics of both combustion chambers had also been carried out. The obtained results are compared. It has been found that hemispherical combustion chamber is more efficient as it produces higher pressure and temperature compared to that of shallow depth combustion chamber. As the temperature increases the formation of NOx emissions and soot formation also get increased. Keywords– CFD, Combustion modeling, Diesel combustion, k-ε model, NOx emissions I. INTRODUCTION In direct injection diesel engines there are different types of combustion chambers. Each one is having different characteristics of producing pressure, temperature and emissions. Here a detailed study has been carried out between two combustion chambers in order to have a clear clarification in studying the change in pressure temperature and emission characteristics. Two combustion chambers:- shallow depth chamber (SCC) and hemispherical combustion chamber (HCC) were taken into consideration. The two combustion chambers were modeled (a sector geometry of 600 using ANSYS WORKBENCH and analysis part were carried out using CFD tool (Fluent, ANSYS 14.5 package). By using the finite volume method the design and analysis of combustion chambers, emission characteristic study were done for both combustion chambers. Proper comparison of the results where carried and percentage rise in pressure and temperature had been calculated. Carnot efficiency of both of the combustion chambers were calculated and had found out which one is more efficient. II. PROCEDURE IN COMPUTATION The combustion simulation of compression ignition engine with different piston configurations were developed using Fluent software (ANSYS 14.5 package) and the various equations of the multi- dimensional model were solved by the software automatically . The main inputs include engine speed, injection details of single injection, bore, stroke, connecting rod length, initial pressure and temperature[1].The program concerning the simulation model predicts the cylinder pressure, cylinder temperature, emission etc. The results including graphs and various contours (pressure, temperature, NOx and Soot) were generated by Fluent software . III. DEFINITION OF MODEL Two 3D cylinder geometries with centrally located injector were considered .The mesh was created using ANSYS WORKBENCH. The engine geometry details and specification details are given below. . A hex dominant mesh was created uniformly throughout the area and analyzed using FLUENT, ANSYS 14.5 package. The complete meshed geometry contains 18644 faces and 42932 nodes. Fig.1 Shows the meshed geometry of the cylinder. Connecting rod length :140 mm Bore :80 mm Crank radius :55 mm Crank shaft speed :1500 rpm RESEARCH ARTICLE OPEN ACCESS
  • 2. S G Karunanidhi et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 1), July 2014, pp.68-73 www.ijera.com 69 | P a g e Fig.1 Meshed Geometries of the cylinder. IV. MODELING TURBULENCE Turbulent flows are characterized by fluctuating velocity fields. These fluctuations mix transported quantities such as momentum, energy, and species concentration, and cause the transported quantities to fluctuate as well. Since these fluctuations can be of small scale and high frequency, they are too computationally expensive to simulate directly in practical engineering calculations. Instead, the instantaneous (exact) governing equations can be time-averaged or otherwise manipulated to remove the small scales, resulting in a modified set of equations that are computationally less expensive to solve. However, the modified equations contain additional unknown variables, and turbulence models are needed to determine these variables in terms of known quantities. In this analysis standard k-ε model[1] is used.. In the derivation of the k- ε model, the assumption is that the flow is fully turbulent, and the effects of molecular viscosity are negligible. The standard k-ε model is therefore valid only for fully turbulent flows. The turbulent (or eddy) viscosity, μt, is computed by combining k and ε as follows: V. BOUNDARY CONDITIONS The boundary conditions should be given after modeling the geometry .In the analysis viscous standard k-e model is enabled for non premixed combustion model. The injection parameters and specifications are given below X-position :0.50038 mm Y- velocity :468 m/s Diameter :0.287 mm Temperature :341 K Flow rate :0.001044 kg/S Start crank angle :355 deg Stop crank angle :377deg VI. RESULTS AND DISCUSSIONS 1. Combustion characteristics for SCC The combustion characteristics for both shallow depth and hemispherical combustion chambers are done..And the values of peak pressure and the temperature was approximately equal to the theoretical values. 1.1 Cylinder pressure and temperature for SCC Fig. 2. Pressure v/s Flow time Fig. 3. Temperature v/s Flow time Fig 4. Contours of static pressure at 3600 CA
  • 3. S G Karunanidhi et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 1), July 2014, pp.68-73 www.ijera.com 70 | P a g e Fig 5. Contours of static pressure at 5400 CA Fig 6. Contours of static temperature at 3600 CA Fig 7. Contours of static temperature at 5400 CA From the above graphs and contours at crank angles 3600 and 5400, it has been observed that the peak cylinder pressure is about 59.34 × 105 Pa and cylinder peak temperature of about 1739.56 K. 1.2 Emission characteristics for SCC Fig 8. Contours of mass fraction of pollutant NO Fig 9. Contours of mass fraction of soot From the contours of mass fraction of NOx emissions and soot formation it has been understood that NOx formation is occurring at regions where the temperature is high and soot formation, at regions where temperature is comparatively low. 2. Combustion characteristics for HCC 2.1 Cylinder pressure and temperature for HCC
  • 4. S G Karunanidhi et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 1), July 2014, pp.68-73 www.ijera.com 71 | P a g e Fig. 10. Pressure v/s Flow time Fig. 11. Temperature v/s Flow time Fig 12. Contours of static pressure at 3600 CA Fig 13. Contours of static pressure at 5400 CA Fig 14. Contours of static temperature at 3600 CA Fig 15. Contours of static temperature at 5400 CA From the above graphs and contours at crank angles 3600 and 5400, it has been observed that the
  • 5. S G Karunanidhi et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 1), July 2014, pp.68-73 www.ijera.com 72 | P a g e peak cylinder pressure is about 69.19 × 105 Pa and cylinder peak temperature of about 1853.71 K. 2.2 Emission characteristics for HCC Fig 14. Contours of mass fraction of pollutant NO Fig 15. Contours of mass fraction of soot From the contours of mass fraction of NOx emissions and soot formation it has been understood that NOx formation is occurring at regions where the temperature is high and soot formation, at regions where temperature is comparatively low. 3. Comparison of results Table 1. Result comparison Combustion chamber Static Pressure (Pa) Static temperature(K) Shallow depth 59.34 × 105 1739.64 Hemispherical 69.19 × 105 1853.71 % increase 16.59 6.56 Table 2. Result comparison for emissions Combustion chamber Mass Fraction of Pollutant NO Mass Fraction of Soot Shallow Depth 3.78 × 10-07 1.29 × 10-13 Hemispherical 4.26 × 10-04 2.53 × 10-10 From the above compared results it had been found that hemispherical combustion chamber is producing more cylinder pressure and temperature. The percentage rise in pressure and temperature were also shown. 3.1 Carnot efficiency comparison For Shallow depth combustion chamber: Carnot Efficiency= (T2-T1)/T2 T1 (Initial temp) = 750K T2 (Final temp) = 1739.64K Carnot Efficiency (η) = (1739.64 - 750)/1739.64 = 0.569 = 56.9% For Hemispherical combustion chamber Carnot Efficiency= (T2-T1)/T2 T1 (Initial temp)= 750K T2 (Final temp)= 1853.71K Carnot Efficiency(η)= (1853.71-750)/1853.71 = 0.595 = 59.5% % increase in Carnot efficiency= ={(59.5/56.9)*100}100 = 4.57% VII. CONCLUSION The two combustion chamber models were modeled using ANSYS WORKBENCH and the combustion phenomena were analyzed using ANSYS FLUENT 14.5. The results show values comparable to theoretical values. Here two combustion chambers results were compared and following observations were made. The results are as follows:  Numerical analysis result shows that hemispherical piston head provides much better performance than the shallow depth. This is due to the high turbulent intensity formed within the cylinder.  Hemispherical combustion chamber is giving high pressure when compared to shallow depth combustion chamber. The pressure rise is about 16.59%.  Hemispherical combustion chamber gives high temperature compared to shallow depth combustion chamber. The temperature rise is about 6.56%.  When Carnot efficiency of both of the combustion chambers were compared it has been observed that carnot efficiency is more for hemispherical combustion chamber. When the increase in carnot efficiency is calculated, it is about 4.57%.  The rise in temperature in hemispherical combustion chamber has shown significant increase of NOx emissions and soot formation. In the combustion chambers NOx emissions are
  • 6. S G Karunanidhi et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 1), July 2014, pp.68-73 www.ijera.com 73 | P a g e found at the regions of high temperature whereas soot formation is occurring at regions where temperature is comparatively low.  NOx emissions can be reduced by changing injection timing as well as injection quantity.  The change in geometry of combustion chambers that is by changing the piston head configurations considerable changes have been obtained. REFERENCES [1] Apparao K, Srinivasa Rao P and Rajagopal K, “Study of multiple injections in (Homogeneous charge compression ignition) HCCI engine using computational fluid dynamics”, Journal of Mechanical Engineering Research Vol. 3(4), pp. 103- 113, April 2011. [2] A. R. Binesh, and S. Hossainpour, “Three Dimensional Modeling of Mixture Formation and Combustion in a Direct Injection Heavy-Duty Diesel Engine” , International Journal of Aerospace and Mechanical Engineering 2:4 2008. [3] Heywood, John B , “Internal combustion engines fundamentals”, 1988, pp:668-671. [4] Joon Kyu Lee, Yong-Mo Kim, Jae-Hyun Ahn, “Numerical Modeling of Combustio Processes and Pollutants Formations in Direct-Injection Diesel Engines”, KSME International Journal, VoL 16No. 7, pp. 1009--1018, 2002. [5] Mohamed Bencherif, Mohand Tazerout, Abdelkrim Liazid, “Turbulence-Combustion Interaction in Direct Injection Diesel Engine”. [6] P.A. Lakshminarayanan ,Yogesh V. Aghav, " Modelling Diesel Combustion" ,Springer Publications, June 2009 , 09-281. [7] R. Manimaran, R. Thundil Karuppa Raj, K. Senthil Kumar, “Premixed Charge Compression Ignition in a Direct Injection Diesel Engine using Computational Fluid Dynamics”. [8] Sudhakar Das, "CFD Study of Multiple Injections in a Diesel Engine" ILASS Americas, 25th Annual Conference on Liquid Atomization and Spray Systems, Pittsburgh, PA, May 2013. [9] Shahrir Abdullah, Wendy Hardyono Kurniawan and Azhari Shamsudeen, “Numerical Analysis of the Combustion Process in a Compressed Natural Gas Direct Injection Engine” Journal of Applied Fluid Mechanics, Vol. 1, No. 2, pp. 65-86, 2008. [10] Tutorial: Modeling Non-Premixed Combustion, “14.1 Description of the Equilibrium Mixture Fraction/ PDF Model , Fluent Inc. November 28, 2001”. [11] Umakant V. Kongre , Vivek K. Sunnapwar, “CFD Modeling and Experimental Validation of Combustion in Direct Ignition Engine Fueled with Diesel”, International Journal of Applied Engineering Research, Dindigul, Volume 1, no 3, 2010. [12] Watanabe T., Daidoji S., Keshav S. V, 2000, “Relationship between visible spray observations and DI diesel engine performance”. Transaction of the ASME, vol.122,596-602.