This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Mathematical Simulation of a Large Turbocharged Two-Stroke Diesel Engine
Annotation ability available
Sector:
Language:
English
Abstract
The multicylinder turbocharged engine was simulated by assuming each cylinder undergoes the same thermodynamic cycle. The model for the cylinder includes instantaneous heat transfer, homogeneous combustion burning rates, and a scavenging model which allows any intermediate mode between perfect scavenging and complete mixing. Metal surface temperatures are calculated by use of cyclic energy balances. The air receiver pressure is assumed constant and the exhaust manifold pressure is calculated by use of a filling and emptying process. The turbocharger turbine is analyzed on a quasi-steady basis with given mass flow-expansion ratio characteristics and efficiency-velocity ratio curves. Steady flow is assumed and experimental performance was used to model the compressor. Engine and turbocharger operating conditions are adjusted in the program until an energy balance is attained between the engine and the turbocharger.
Comparisons between experimental and simulated data are presented and the results of parametric variations are discussed.
Recommended Content
Authors
Topic
Citation
Streit, E. and Borman, G., "Mathematical Simulation of a Large Turbocharged Two-Stroke Diesel Engine," SAE Technical Paper 710176, 1971, https://doi.org/10.4271/710176.Also In
References
- Rühle H. A. Techn. Phys. 10 10 1929 465 472
- Goodenough G. A. Baker J. B. “A Thermodynamic Analysis of Internal Combustion Engine Cycles.” University of Illinois Experiment Station Bulletin 160 1927
- Cook H. A. “Digital Computer Analysis and Interpretation of Turbocharged Diesel Engine Performance.” SAE Transactions 67 1959
- Whitehouse N. D. Stotter A. Goudie C. O. Prentice B. W. “Method of Predicting Some Aspects of Performance of a Diesel Engine Using a Digital Computer.” Proc. Instn. Mech. Engrs. 176 1962 195 217
- Horlock J. H. Benson R. S. “The Matching of Two-Stroke Engines and Turbo Superchargers.” CIMAC Copenhagen A10 1962
- Borman G. L. “Mathematical Simulation of Internal Combustion Engine Processes and Performance Including Comparisons with Experiment.” University of Wisconsin 1964
- Toda N. Kushiyama J. Oyama J. “On a Method of Calculating Characteristics of Exhaust Gas Turbocharged Two-Stroke Diesel Engine.” JSME Bul. 9 35 1966 580 591
- McAulay K. J. Chen S. K. Tang Wu Borman G. L. Myers P. S. Uyehara O. A. “Development and Evaluation of the Simulation of the Compression-Ignition Engine,” SAE Transactions 74 1966 paper 650451
- Krieger R. B. “The Simulation of a Two Cycle, Crankcase Scavenged, Spark Ignition Engine on a Digital Computer and Comparison of Results with Experimental Data.” University of Wisconsin 1968
- Streit E. E. “Mathematical Simulation of a Large, Turbocharged Two-Stroke Diesel Engine.” University of Wisconsin 1970
- Krieger R. B. Borman G. L. “The Computation of Apparent Heat Release for Internal Combustion Engines.” ASME, paper 66-WA/DGP-4 1966
- Lyn W. T. “Study of Burning Rate and Nature of Combustion in Diesel Engines.” Ninth Symposium of Combustion New York Academic Press 1963 1069 1082
- Held G. 27 12 1966 480 485
- Austen A. E. W. Lyn W. J. “Relation Between Fuel Injection and Heat Release in a Direct Injection Engine and the Nature of the Combustion Process.” Proc. Instn. Mech. Engrs. 174 1960-61 47 62
- Austen A. E. W. Lyn W. J. “The Application of Heat Release Analysis to Engine Combustion Study.” CIMAC Copenhagen 1962 1067 1099
- Nagao F. Ikegami M. Oshima K. “An Analysis of Combustion Knock in a Diesel Engine.” Bul. JSME 10 39 1967 531 542
- Shipinski J. H. “Relationships Between Rates-of-Injection and Rates-of-Heat Release in Diesel Engines.” University of Wisconsin 1967
- Whitehouse N. D. Way R. “A Simple Method for the Calculation of the Heat Release Rates in Diesel Engines Based on the Fuel Injection Rates.” Paper 710134 SAE Automotive Engineering Congress Detroit January 1971
- Benson R. S. “A Computer Program for Calculating the Performance of an Internal Engine Exhaust System.” Proc. Instn. Mech. Engrs. 182 1967-68 91 108
- Benson R. S. Galloway K. “An Experimental and Analytical Investigation of the Gas Exchange Process in a Multi-cylinder Pressure Charged Two-Stroke Engine.” Proc. Instn. Mech. Engrs. 183 14 1968-69 253 279
- Craig H. R. M. Edwards K. J. Horlock J. M. Janota M. Shaw R. Woods W. A. “An Investigation of Steady and Unsteady Flow Through a Napier Turboblower Turbine under Conditions of Full and Partial Admission,” Proc. Instn. Mech. Engrs. 183 30 1968-69 615 630
- Ryti M. “Computing the Gas Exchange Process of Pressure Charged Internal Combustion Engines.” Proc. Instn. Mech. Engrs. 182 1967-68 109 118
- Benson R. S. Woods W. A. “Wave Action in the Exhaust System of a Supercharged Two-Stroke Engine Model.” Int. J. Mech. Sci. 1 1960 253 281
- Ryti M. 55 8 1968 429 439
- Aleya J. “The Development and Evaluation of an Electronic Indicated Horsepower Meter.” University of Wisconsin 1968
- Newhall H. K. Starkman E. S. “Thermodynamic Properties of Octane and Air for Engine Performance Calculations.” SAE Progress in Technology 7 “Digital Calculations of Engine Cycles,” New York Society of Automotive Engineers, Inc. 1963
- Powell H. N. “Applications of an Enthalpy-Fuel/Air Ratio Diagram to ‘First Law’ Combustion Problems.” ASME Trans. 79 1957 1129 1142
- Ralston A. “A First Course in Numerical Analysis.” New York McGraw Hill Book Co. 1965
- Annand W. J. D. “Choice of a Computing Procedure for Digital Computer Synthesis of Reciprocating Engine Cycles.” J. Mech. Engr. Sci. 10 3 1968 289 290
- Aepler E. 12 4 1968 439 462
- Woschni G. 26 4 1965 128 133
- Woschni G. 13 1966-67
- Woschni G. “A Universally Applicable Equation for the Instantaneous Heat Transfer Coefficient in the Internal Combustion Engine.” SAE Transactions 76 1967 paper 670931
- LeFeuvre T. “Instantaneous Metal Temperatures and Heat Fluxes in a Diesel Engine.” University of Wisconsin 1968
- Ricardo and Co. Ltd. 1927 Unpublished report, DP. 9788 1967
- Dimopoulus N. Mitt. Inst. Thermodyn. ETH 18 Zürich 1955
- Leistra G. F. 29 3 1968 103 104
- Howarth M. H. “The Design of High Speed Diesel Engines.” London Constable & Co. 1966
- Obert E. F. “Concepts of Thermodynamics.” New York McGraw-Hill Book Co. 1960
- Pischinger A. Pischinger F. 20 1 1959 4 9
- Chiang C. W. Myers P. S. Uyehara O. A. “Physical and Chemical Ignition Delay in an Operating Diesel Engine Using the Hot-Motored Technique, Part II.” SAE Transactions 68 1960
- El-Wakil M. M. Myers P. S. Uyehara O. A. “Fuel Vaporization and Ignition Lag in Diesel Combustion.” SAE Trans. 64 1956
- Lyn W. T. 27 4 1966 140 145
- Newhall H. K. Private communications 1970
- Lange W. Woschni G. 25 7 1964 284 289
- Lyn W. T. “Calculations of the Effect of Rate of Heat Release on the Shape of Cylinder Pressure Diagram and Cycle Efficiency.” Proc. Instn. Mech. Engrs. 174 1960-1961 34 46
- Awojobi A. O. Symposium on Diesel Engines-Breathing and Combustion. Proc. Instn. Mech. Engrs. 180 1965-1966 90 93
- Woschni G. 11 1963-1964
- Jante A. 4 1961 140 143
- Jante A. Frick E. 9 1960 340 346
- Langer F. 10 10 1961 531 536
- Reinsch C. H. “Smoothing by Spline Functions.” Numerische Mathematik 10 1967 177 183
- Sauer R. Szabo S. Berlin Springer Verlag 1968
- Hasselgruber H. 27 5 1961 129 142
- Benson R. S. “Experiments on Two-Stroke Engine Exhaust Ports under Steady and Unsteady Flow Conditions.” Proc. Instn. Mech. Engrs. 173 1959 511 546
- Benson R. S. “Experiments on a Piston Controlled Port.” Engineer London 210 1960 875
- Bragg S. L. “Effect of Compressibility on the Discharge Coefficient of Orifices and Convergent Nozzles.” J. Mech. Eng. Sci. 2 1960 35 44
- Jobson D. A. “On the Flow of a Compressible Fluid Through Orifices.” Proc. Instn. Mech. Engrs. 169 1955 767 776
- Annand W. J. D. “Compressible Flow Through Square-Edged Orifices: An Empirical Approximation for Computer Calculations.” J. Mech. Eng. Sci. 8 1966 4 448 449
- List H. Reyl G. Wien Springer Verlag 1949
- Mucklow G. F. Bannister F. K. “Wave Action Following Sudden Release of Compressed Gas From a Cylinder.” Proc. Instn. Mech. Engrs. 159 1948 269 287
- Wallace F. J. Boxer G. “Wave Action in Diffusers for Exhaust Pipe Systems, with Special Reference to the Scavenging of Two Stroke Engines.” Proc. Instn. Mech. Engrs. 170 1956 1131 1156
- Wallace F. J. Mitchell R. S. “Wave Action Following the Sudden Release of Air Through An Engine Port System.” Gas and Oil Power 47 1952 287 291
- Jenny E. Zürich 1949
- Jenny E. “The Utilization of Exhaust Gas Energy in the Supercharging of the Four-Stroke Diesel Engine.” Brown Boveri Review 37 1950 433 447
- Jenny E. “Unidimensional Transient Flow with Consideration of Friction Heat Transfer and Change of Section.” Brown Boveri Review 37 1950 447 461
- Seifert H. Berlin Springer Verlag 1962
- Benson R. S. “Some Recent Research on Non-steady Flows in Engine Exhaust Systems with Particular Reference to Numerical Solutions Using Digital Computers.” Lecture given at the Eidg. Techn. Hochschule Zurich February 1963
- Benson R. S. Garg R. D. Woollatt D. “A Numerical Solution of Unsteady Flow Problems.” Int. J. Mech. Sci. 6 1964 117 144
- Benson R. S. Woods W. G. “The Energy Content of Exhaust Pulses in the Exhaust System of a Supercharged Two-Stroke Engine Model.” Int. J. Mech Sci. 1 1960 253 281
- Goyal M. Scharpf G. Borman G. “The Simulation of Single Cylinder Intake and Exhaust Systems.” SAE Transactions 76 1967 paper 670478
- Woollatt D. “The Application of Unsteady Gas Dynamic Theories to the Exhaust System of Turbocharged Two-Stroke Engines.” ASME Paper 66-WA/DGEP-1 1965
- Wallace F. J. “Effect of Friction on Compression and Rarefraction Waves of Finite Amplitude.” Engineering 176 1954 674
- Bogdanoff D. W. “A Study of the Mechanism of Heat Transfer in Oscillating Flow.” Princeton University, Dept. of Aerospace and Mechanical Sci. Tech. Report No. 483-f October 1967
- Ryti M. Mechanical Engineering Series 41 1969
- SAE Recommended Practice, Engine Terminology and Nomenclature-General SAE J604b, SAE Handbook
- Rao N. N. Narayan 25 1964 510 512
- Metz J. R. Urben A. Steiger A. “Contribution to the Investigation of the Diesel Cycle with the Aid of Digital Computers.” Proc. Instn. Mech. Engrs. 182 1967-1968 79 90
- Wallace F. J. “Performance of Two Stroke Compression Ignition Engines in Combination with Compressors and Turbines.” Proc. Instn. Mech. Engrs. 177 1963 43 63
- Hayashi Y. Meyer W. E. “An Analytical Method for Optimizing the Scavenging Process of Uniflow Two-Cycle Diesel Engines.” SAE Transaction 74 1966 paper 650447
- Dedeoglu N. 4101 Zürich 1968
- Zinner K. 1953 45 60
- Bode E. 1967 1 21 36
- Horlock J. H. “Losses and Efficiencies in Axial Flow Turbines-A Review of Experimental Data.” Int. J. Mech. Sci. 2 1960 48 75
- Balje O. E. Binsley R. L. “Axial Turbine Performance Evaluation. Part A: Loss Geometry Relationship.” J. Engr. for Power Oct. 1968 341 348
- Dibelius G. 52 3 1965 180 189
- Suter P. Traupel W. Mitt. Inst.Thermodyn. ETH 4 Zürich 1959
- Zinner K. 1961 63
- Horlock J. H. “Axial Flow Turbines.” London Butterworth's Scientific Publications 1966
- Brock E. K. Scarlett D. E. Y. “Prediction of Diesel Engine Performance.” London Diesel Engineers and Users Association 1968
- Ostergaard A. “Discussion on the Paper A10: The Matching of Two-Stroke Engines and Turbo Superchargers.” CIMAC Copenhagen 1965 510
- Steiger A. “The Utilization Factor of the Exhaust Energy in Turbocharged Two-Stroke Engines.” Sulzer Technical Review 40 1958 47 65
- Kerklo P. “Development of High-Pressure High Flow Turbocharger for Tomorrow's High Output Diesel Engines and Spark Fired Engines.” ASME Paper, 68-DGP-18 1968
- Horlock J. H. “Axial Flow Compressors.” London Butterworth's Scientific Publications 1958
- Beckmann G. 14 12 1965 637 640
- Colin R. “Typical Performance Characteristics of Gas Turbine Radial Compressors.” J. Engr. for Power April 1964 161 175
- Eckert B. Schnell E. Berlin Springer Verlag 1961
- Aepler E. 11 2 1967 263 275
- Ullmann K. 42 1939 397 406
- Ullmann K. 1939
- Bishop J. N. “Effect of Design Variables on Friction and Economy.” SAE Transactions 73 1965 paper 812A
- Eichelberg G. Pflaum W. 93 36 1951 1113 1123
- Aepler E. Behrens M. 12 4 1968 463 474
- Wanscheidt W. A. VEB Verlag Technik Berlin 1968
- Eberle M. Contribution to the Calculation of the Thermodynamic Interactions between an Internal Combustion Engine and an Exhaust Gas Turbocharger Swiss Federal Institute of Technology
- Woschni G. 1968
- Woschni G. 31 12 1970 491 499
- Rizk W. “Experimental Studies of the Mixing Process and Flow Configurations in Two-Cycle Engine Scavenging.” Proc. Instn. Mech. Engrs. 172 1958 417 437