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Computations of Transient Jets: RNG k-e Model Versus Standard k-e Model
ISSN: 0148-7191, e-ISSN: 2688-3627
Published February 24, 1997 by SAE International in United States
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The spray submodel is an important component in multidimensional models for Diesel engines. The satisfactory representation of the spray is dependent on adequate representation of turbulence in the jet which, in part, determines its spread and penetration. In this work, the RNG k-ϵ model is evaluated relative to the standard k-ϵ model for computing turbulent jets. Computations are made for both gas jets and sprays. The gas jet is computed with an adequately high degree of numerical spatial resolution of the order of the orifice diameter. In the case of the spray, achieving such a high resolution would be challenging. Since the spray has similarities to the gas jet, and the gas jet may be computed with such high resolution and adequate accuracy, firm conclusions may be drawn for it and they may be applicable to sprays. It is concluded that the RNG k - ϵ model, in general, results in predictions of greater mixing in the jets relative to the standard model.
CitationAbraham, J. and Magi, V., "Computations of Transient Jets: RNG k-e Model Versus Standard k-e Model," SAE Technical Paper 970885, 1997, https://doi.org/10.4271/970885.
- Abraham, J., “What is Adequate Resolution in Computations of Transient Jets?,” paper submitted for the 1997 SAE Congress, Detroit, MI, 1987.
- Abraham, J. and Magi, V., “A Fundamental Limitation in Using the k - ϵ Model to Compute Transient Jets,” paper under preparation.
- Yakhot, V., and Orszag, S.A., “Renormalization Group Analysis of Turbulence. I. Basic Theory,” Journal of Scientific Computing, Vol. 1(1), pp. 3-51, 1986.
- Yakhot, V., and Orszag, S.A., “Development of Turbulence Models for Shear Flows by a Double Expansion Technique,” Physics of Fluids, Vol. 4(7), pp. 1510-1520, 1992.
- Eyink, G.L., “The Renormalization Group Method in Statistical Hydrodynamics,” Physics of Fluids, Vol. 6(9), pp. 3063-3078, 1994.
- Smith, L.M. and Reynolds, W.C., “On the Yakhot-Orszag Renormalization Group Method for Deriving Turbulence Statistics and Models,” Physics of Fluids, Vol. 4(2), pp. 364-390, 1992.
- Lam, S.H., “On the RNG Theory of Turbulence,” Physics of Fluids, Vol. 4(5), pp. 1007-1017, 1992.
- Han, Z. and Reitz, R.D., “Turbulence Modeling of Internal Combustion Engines Using RNG k - ϵ Models,” Combustion Science and Technology, Vol. 106, pp. 267-295, 1995.
- Hiroyasu, T. and Arai, M., “Structure of Fuel Sprays in Diesel Engines,” SAE Transactions, Vol. 99, pp. 1050-1061, 1990.
- Dent, J.C., “A Basis for the Comparison of Various Experimental Methods for Studying Spray Penetration,” SAE Transactions, Vol. 80, pp. 1881-1884, 1971.
- Magi, V., “REC-87: A New 3-D Code for Flows, Sprays and Combustion in Reciprocating and Rotary Engines,” Mechanical and Aerospace Engineering Report No. 1793, Princeton University, 1987.
- Bracco, F.V., “Modeling of Engine Sprays,” SAE Transactions, Vol. 94, pp. 144-167, 1985.
- 0'Rourke, P.J. and Bracco, F.V., “Modeling of Drop Interactions in Thick Sprays and a Comparison with Experiments,” The Institution of Mechanical Engineers, Publication 1980-9, 1980.
- Chatwani, A. and Bracco, F.V., “Computation of Dense Spray Jets,” ICLASS 85, Paper 1B/1/1, Proceedings published by the Institute of Energy, London, 1985.
- Abraham, J. “Entrainment Characteristics of Transient Gas Jets,” Numerical Heat Transfer Part A: Applications, Vol. 30, pp. 347-364, 1996
- Schlichting, H., Boundary Layer Theory, McGraw-Hill, Inc., N.Y., 1987.