Turbulence Modeling of Internal Combustion Engines Using RNG κ-ε Models

Abstract The RNG κ-e turbulence model derived by Yakhot and Orszag (1986) based on the Renormalization Group theory has been modified and applied to variable-density engine flows in the present study. The original RNG-based turbulence transport approximations were developed formally for an incompressible flow. In order to account for flow compressibility the RNG e-equation is modified and closed through an isotropic rapid distortion analysis. Computations were made of engine compressing/expanding flows and the results were compared with available experimental observations in a production diesel engine geometry. The modified RNG κ-e model was also applied to diesel spray combustion computations. It is shown that the use of the RNG model is warranted for spray combustion modeling since the ratio of the turbulent to mean-strain time scales is appreciable due to spray-generated mean flow gradients, and the model introduces a term to account for these effects. Large scale flow structures are predicted which ar...

[1]  J. Nagle,et al.  OXIDATION OF CARBON BETWEEN 1000–2000°C , 1962 .

[2]  B. Launder,et al.  Mathematical Models of turbulence , 1972 .

[3]  Shang‐keng Ma.  Introduction to the renormalization group , 1973 .

[4]  B. Hjertager,et al.  On mathematical modeling of turbulent combustion with special emphasis on soot formation and combustion , 1977 .

[5]  Eytan Domany,et al.  Introduction to the renormalization group and to critical phenomena , 1977 .

[6]  David R. Nelson,et al.  Large-distance and long-time properties of a randomly stirred fluid , 1977 .

[7]  L. Kirsch,et al.  The autoignition of hydrocarbon fuels at high temperatures and pressures—Fitting of a mathematical model , 1977 .

[8]  Juan I. Ramos,et al.  Axisymmetric Flow Model with and without Swirl in a Piston-Cylinder Arrangement with Idealized Valve Operation , 1980 .

[9]  Nagi N. Mansour,et al.  Modeling of Turbulence in Internal Combustion Engines , 1982 .

[10]  F. V. Bracco,et al.  Computed and measured turbulence in axisymmetric reciprocating engines , 1983 .

[11]  Uriel Frisch,et al.  Remarks on the renormalization group in statistical fluid dynamics , 1983 .

[12]  S. E. Tahry.  K-epsilon equation for compressible reciprocating engine flows , 1983 .

[13]  Frediano V. Bracco,et al.  Comparisons of computed and measured premixed charge engine combustion , 1985 .

[14]  S. Orszag,et al.  Renormalization group analysis of turbulence. I. Basic theory , 1986, Physical review letters.

[15]  S. Orszag,et al.  Renormalization group analysis of turbulence. I. Basic theory , 1986 .

[16]  R. Reitz,et al.  Structure of High-Pressure Fuel Sprays , 1987 .

[17]  John Abraham,et al.  THREE-DIMENSIONAL COMPUTATIONS OF FLOWS IN A STRATIFIED-CHARGE ROTARY ENGINE , 1987 .

[18]  Peter J. O'Rourke,et al.  The TAB method for numerical calculation of spray droplet breakup , 1987 .

[19]  John B. Heywood,et al.  Internal combustion engine fundamentals , 1988 .

[20]  K. Nishida,et al.  Simplified Three-Dimensional Modeling of Mixture Formation and Combustion in a D.I. Diesel Engine , 1989 .

[21]  Rolf D. Reltz,et al.  Modeling of HC Emissions Due to Crevice Flows in Premixed-Charge Engines , 1989 .

[22]  J. Ramos.  Internal combustion engine modeling , 1989 .

[23]  Nagi N. Mansour,et al.  Modeling the rapid spherical compression of isotropic turbulence , 1991 .

[24]  Rolf D. Reitz,et al.  Assessment of Wall Heat Transfer Models for Premixed-Charge Engine Combustion Computations , 1991 .

[25]  Charles G. Speziale,et al.  An analysis of RNG‐based turbulence models for homogeneous shear flow , 1991 .

[26]  Brian Launder,et al.  Current capabilities for modelling turbulence in industrial flows , 1991 .

[27]  Leslie M. Smith,et al.  The renormalization group, the ɛ-expansion and derivation of turbulence models , 1992 .

[28]  Daniel C. Haworth,et al.  Directions in Turbulence Modeling for In-Cylinder Flows in Reciprocating Engines , 1992 .

[29]  Paul A. Durbin,et al.  Rapid distortion theory for homogeneous compressed turbulence with application to modelling , 1992, Journal of Fluid Mechanics.

[30]  Rolf D. Reitz,et al.  Modeling Diesel Engine Spray Vaporization and Combustion , 1992 .

[31]  W. C. Reynolds,et al.  On the Yakhot-Orszag renormalization group method for deriving turbulence statistics and models , 1992 .

[32]  S. Orszag,et al.  Development of turbulence models for shear flows by a double expansion technique , 1992 .

[33]  S. H. Lam,et al.  On the RNG theory of turbulence , 1992 .

[34]  Song-Charng Kong,et al.  Multidimensional Modeling of Diesel Ignition and Combustion Using a Multistep Kinetics Model , 1993 .

[35]  R. Reitz,et al.  Modeling the effects of drop drag and breakup on fuel sprays. Technical paper , 1993 .

[36]  Rolf D. Reitz,et al.  Toward Predictive Modeling of Diesel Engine Intake Flow, Combustion and Emissions , 1994 .

[37]  Sanjiva K. Lele,et al.  Compressibility Effects on Turbulence , 1994 .

[38]  Rolf D. Reitz,et al.  Measurement of the Effect of Injection Rate and Split Injections on Diesel Engine Soot and NOx Emissions , 1994 .

[39]  G. Eyink.  The renormalization group method in statistical hydrodynamics , 1994 .

[40]  Rolf D. Reitz,et al.  Particle Image Velocimetry Measurements in the Piston Bowl of a DI Diesel Engine , 1994 .

[41]  R. Reitz,et al.  Modeling the Effects of Fuel Injection Characteristics on Diesel Engine Soot and NOx Emissions , 1994 .

[42]  Song-Charng Kong,et al.  The Development and Application of a Diesel Ignition and Combustion Model for Multidimensional Engine Simulation , 1995 .

[43]  R. Reitz,et al.  MODELING HEAT TRANSFER TO IMPINGING FUEL SPRAYS IN DIRECT-INJECTION ENGINES , 1995 .

[44]  Song-Charng Kong,et al.  In-Cylinder Diesel Flame Imaging Compared with Numerical Computations , 1995 .