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A One-Dimensional Model for In-Cylinder Heat Convection Based on the Boundary Layer Theory
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Abstract
This paper proposes a one-dimensional model for in-cylinder heat convection based on the boundary layer theory. The model describes the temporal variations of the velocity boundary layer and thermal boundary layer separately. It is assumed that the behaviour of the boundary layers is quasi-steady: as a whole the boundary layers change with time and wall location, while inside the boundary layers the velocity and temperature profiles follow the steady-state power law.
The model integrates the full one-dimensional thin-shear-layer equations with the F-factor correction suggested by Bradshaw and the revised Kutateladze and Leont'ev relation of the velocity and thermal boundary layers. The F factor can compensate for the model error in the curved flow. The revised Kutateladze and Leont'ev relation can correctly reflect the heat transfer mechanism.
The model has been validated by a simple approach, using a fixed bulk flow velocity and a surface radius of curvature. The effects of bulk flow, wall temperature, flame penetration and equivalence ratio on heat convection have been investigated. A comparison between the present model and the Woschni formula shows that the calculated overall heat transfer coefficients are in good agreement.
This paper clearly shows that the proposed heat convection model can be integrated with the filling-and-emptying method provided the bulk flow is determined either by estimation or by simple calculation. This model has the potential of being used in the multi-dimensional fluid flow code.
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Chen, C. and Veshagh, A., "A One-Dimensional Model for In-Cylinder Heat Convection Based on the Boundary Layer Theory," SAE Technical Paper 921733, 1992, https://doi.org/10.4271/921733.Also In
References
- Nusselt, W 1923
- Eichelberg, G. 1923
- Taylor, C.F. Toong T.Y. “Heat Transfer in Internal Combustion Engines” ASME paper no. 57-HT-17 1957
- Alcock, J.F. “Heat Transfer in Diesel Engines” Proc. Int. Heat Transfer Conf. Boulder, IMechE 174 1962
- Sitkei, G. 1962
- Annand, W.J.D. “Heat Transfer in the Cylinders of Reciprocating Internal Combustion Engines” Proc. ImechE 177 973 1963
- Woschni, G. “A Universally Applicable Equation for the Instantaneous Heat Transfer Coefficient in the Internal Combustion Engine” Trans. SAE 76 3065 1967
- Poulos, S.G. Heywood, J.B. “The Effect of Chamber Geometry on Spark Ignition Engine Combustion” SAE paper 800457 1980
- Annand, W.J.D. Ma, T.H. “Instantaneous Heat Transfer Rates to the Cylinder Head Surfaces of a Small Compression Ignition Engine” Proc. ImechE 185 936 1971
- Rao, V.K. Bardon, M.F. “Convective Heat Transfer in Reciprocating Engines” Proc. IMechE 199 1985
- Borgnakke, C. Aparci, V.S. Tabaczynski, R.J. “A model for the Instantaneous Heat Transfer and Turbulence in a Spark Ignition Engine” SAE paper 800287 1980
- Puzinauskas, P. Borgnakke, C. “Evaluation and Improvement of an Unsteady Heat Transfer Model for Spark Ignition Engines” SAE paper 910298 1991
- Morel, T. Keribar, R. “A Model for Predicting Spatially and Time Resolved Convective Heat Transfer in Bowl-in-Piston Combustion Chambers” SAE paper 850204 1985
- Yang, J. Martin, J.K. “Approximate Solution - One-Dimensional Energy Equation for Transient, Compressible, Low Mach Number Turbulent Boundary Layer Flows” Transactions of the ASME J. of Heat Transfer 111 1989
- Jennings, M.J. Morel, T. “An Improved Near Wall Heat Transfer Model for Multi-Dimensional Engine Flow Calculations” SAE paper 900251 1990
- Schlichting, H. “Boundary-Layer Theory” 7th McGraw-Hill 1979
- Cebeci, T. Bradshaw, P. “Momentum Transfer in Boundary Layer” McGraw-Hill 1977
- Bradshaw, P. “Effect of Streamline Curvature on Turbulent Flow” 1973
- Spence, D.A. “Velocity and Enthalpy Distributions in the Compressible Turbulent Boundary Layer on a Flat Plate” J. Fluid Mech 8 368 387 1960
- Kutateladze, S.S. Leont'ev, A.I. “Turbulent Boundary Layers in Compressible Gases” Edward Arnold Ltd 1964
- Cebeci, T. Bradshaw, P. “Physical and Computational Aspects of Convective Heat Transfer” Springer-Verlag New York 1988
- Rhodes, D.B. Keck, J.C. “Laminar Burning Speed Measurements of Indolene-Air-Diluent Mixtures at High Pressures and Temperature” SAE paper 850047 1985
- Lavoie, G.A. “Correlations of Combustion Data for S.I. Engine Calculations - Laminar Flame Speed, Quench Distance and Global Reaction Rates” SAE paper 780229 , SAE Trans. 87 1978
- Fitzgeorge, D. Allison, J.L. “Air Swirl in a Road vehicle Diesel Engine” Proc. IMechE (A.D.) 4 1962 1963
- Veshagh, A. Chen C “A Simple Squish Model for Pentroof Combustion Chamber” SAE paper 911844 1991
- Gosman, A.D. Johns, R.J.R. Watkins, A.P. “Development of Prediction Methods for In-Cylinder Processes in Reciprocating Engines” Mattavi, J.N. Amann, C.A. “Combustion Modeling in Reciprocating Engines” Plenum Press New York 1980
- Amsden, A.A. Butler, T.D. O/Rourke, P.J. Ramshaw, J.D. “KIVA- A Comprehensive Model for 2-D and 3-D Engine Simulations” SAE paper 850554 1985
- Chen, C. Veshagh, A. #A Refinement of Flame Propagation Combustion Model for Spark-Ignition Engines” SAE paper 920679 1992
- zapf, H. 1966
- Foster, D.E. Witze, P.O. “Velocity Measurements in the Wall Boundary Layer of a Spark-Ignited Research Engine” SAE paper 870105 1987
- Lucht, R.P. Dunn-Rankin, D. Walter, T. Dreier, T. Bopp S.C. “Heat Transfer in Engines: Comparison of Cars Thermal Boundary Measurements and Heat Flux Measurements” SAE paper 910722 1991