This content is not included in your SAE MOBILUS subscription, or you are not logged in.
Development of an In-Cylinder Heat Transfer Model with Compressibility Effects on Turbulent Prandtl Number, Eddy Viscosity Ratio and Kinematic Viscosity Variation
ISSN: 0148-7191, e-ISSN: 2688-3627
Published April 20, 2009 by SAE International in United States
Annotation ability available
In-cylinder heat transfer has strong effects on engine performance and emissions and heat transfer modeling is closely related to the physics of the thermal boundary layer, especially the effects of conductivity and Prandtl number inside the thermal boundary layer. Compressibility effects on the thermal boundary layer are important issues in multi-dimensional in-cylinder heat transfer modeling. Nevertheless, the compressibility effects on kinematic viscosity and the variation of turbulent Prandtl number and eddy viscosity ratio have not been thoroughly investigated. In this study, an in-cylinder heat transfer model is developed by introducing compressibility effects on turbulent Prandtl number, eddy viscosity ratio and kinematic viscosity variation with a power-law approximation. This new heat transfer model is implemented to a spark-ignition engine with a coherent flamelet turbulent combustion model and the RNG k- turbulence model. The model constant of the new heat transfer model which can yield the accurate match with experimental data for various operating conditions is found. The new heat transfer model with the model constant of 1.12 is suggested as an improved heat transfer model.
CitationPark, H., Assanis, D., and Jung, D., "Development of an In-Cylinder Heat Transfer Model with Compressibility Effects on Turbulent Prandtl Number, Eddy Viscosity Ratio and Kinematic Viscosity Variation," SAE Technical Paper 2009-01-0702, 2009, https://doi.org/10.4271/2009-01-0702.
- Nijeweme D. J. Oude, Kok J. B. W., Stone C. R., Wyszynski L., (2001). Unsteady in-cylinder heat transfer in a spark ignition engine: experiments and modeling. Proceedings of the Institution of Mechanical Engineers, Vol 215, No 6.
- Myers J. P., and Alkidas A. C., Effects of combustion chamber surface temperature on the exhaust emissions of a single-cylinder spark-ignition engine, SAE paper 780642, 1978.
- Borman G., Nishiwaki K., (1987). Internal-Combustion Engine Heat Transfer. Progress in Energy and Combustion Science, Vol 13. pp 1-46.
- Woschni G., A Universally Applicable Equation for Instantaneous Heat Transfer Coefficient in the Internal Combustion Engine, SAE Paper 670931, 1967.
- Hohenberg G. F., Advanced Approaches for Heat Transfer Calculations, SAE Paper 790825, 1978.
- Chang J., Guralp O., Filipi Z., Assanis D. N., Kuo T. W., Najt P., Rask R., New Heat Transfer Correlation for an HCCI Engine Derived from Measurements of Instantaneous Surface Heat Flux, SAE Paper 2004-01-2996, 2004.
- Krieger R. B., Borman G., (1966). The computation of apparent heat release for internal combustion engines. ASME. Pap. 66-WA/Dg-P4.
- Poulos S. G., Heywood J. B., The effect of chamber geometry on spark-ignited engine combustion, SAE Paper 830334, 1983.
- Isshiki N., Nishiwaki N., Study on Laminar Heat Transfer of Inside Gas with Cyclic Pressure Change on an Inner Wall of a Cylinder Head, Proceedings of the 4th International Heat Transfer Conference, FC3.5, pp 1-10, 1970.
- Keck James C., (1981). Thermal Boundary Layer in a gas Subject to a Time Dependent Pressure. Letters in Heat and Mass Transfer, Vol. 8. pp 313-319.
- Han Z., Reitz R. D., (1997). A temperature wall function formulation for variable-density turbulent flows with application to engine convective heat transfer modeling. International journal of heat and mass transfer, Vol. 40, No. 3, pp 613-625.
- Amsden A. A., O'rourke P. J., Butler T. D., “KIVA II : A Computer Program for Chemically Reactive Flows with Sprays,” Los Alamos National Laboratory, 1989.
- Amsden A. A., “KIVA-3V: A Block-Structure KIVA Program for Engines with Vertical or Canted Valves,” Los Alamos National Laboratory, 1997.
- Reynolds W. C., (1976). Computation of turbulent Flows, Annual Reviews of Fluid Mechanics, 8. Pp 183-206.
- Yakhot V., Orszag S. A., (1986). Renormalization group analysis of turbulence, I. Basic theory. Journal of Scientific Computing. 1, 2, pp 3-51.
- Papageorgakis G. C., “Turbulence Modeling of Gaseous Injection and Mixing in DI engines”, Ph.D. Thesis, University of the Michigan, 1997.
- Vanzieleghem B. P., “Combustion Modeling For Gasoline Direct Injection Using KIVA-3V”, Ph.D, Thesis, University of the Michigan, 2004.
- Meneveau C., Poinsot T., (1991). Stretching and Quenching of Flamelets in Premixed Turbulent Combustion. Combustion and Flame 86, pp 311-332.
- Duclos M., Veynante D., (1993). A Comparison of Flamelet Models for Premixed Turbulent Combustion. Combustion and Flame 95, pp 101-117.
- Alkidas A. C., (1980). Heat Transfer Characteristics of a Spark-Ignition Engine. Journal of Heat Transfer VOL 102, pp 189-193.
- Alkidas A. C., Myers J. P., (1982). Transient Heat-Flux Measurements in the Combustion Chamber of a Spark-Ignition Engine. Journal of Heat Transfer, Vol 104, pp 62-67.
- Abraham J., Bracco F. V., Reitz R. D., (1985). Comparison of Computed and Measured Premixed Charge Engine Combustion. Combustion and Flame 60, pp 309-322.