In this paper, we present an analysis of the optimal burn rate in an internal combustion engine (ICE) considering pressure gradient, maximum pressure, and knocking. A zero-dimensional model with heat losses is used for that purpose. The working fluids are assumed to behave like ideal gases with temperature dependent gas properties. In the first part, it is assumed that the burn rate can be arbitrarily chosen at every time instance in order to maximize the mechanical work. This leads to an optimal control problem with constraints. In the second part, a Vibe type burn rate is assumed, where the center of combustion, the duration and the form factor can be chosen in order to maximize the mechanical work. This Vibe type burn rate is finally compared with the arbitrary combustion as the benchmark in order to evaluate the potential of the more realistic burn shape.
Issue Section:
Research Papers
References
1.
Heywood
, J. B.
, 1988
, Internal Combustion Engine Fundamentals
, McGraw-Hill, International
, New York.2.
Pischinger
, R.
, Kell
, M.
, and Sams
, T.
, 2009
, Thermodynamik Thermodynamik der Verbrennungskraftmaschine
, 3rd ed., Springer
, Bonn
.3.
Mozurkewich
, M.
, and Berry
, R. S.
, 1982
, “Optimal Paths for Thermodynamic Systems: The Ideal Otto Cycle
,” J. Appl. Phys.
, 53
(1
), pp. 34
–42
.10.1063/1.3298944.
Hoffmann
, K. H.
, Watowich
, S. J.
, and Berry
, R. S.
, 1985
, “Optimal Paths for Thermodynamic Systems: The Ideal Diesel Cycle
,” J. Appl. Phys.
, 58
(6
), pp. 2125
–2134
.10.1063/1.3359775.
Caton
, J. A.
, 2000
, “A Review of Investigations Using the Second Law of Thermodynamics to Study Internal-Combustion Engines
,” SAE Paper No. 2000-01-1081.6.
Rakopoulos
, C.
, and Giakoumis
, E.
, 2006
, “Second-Law Analyses Applied to Internal Combustion Engines Operation
,” Prog. Energy Combust. Sci.
, 32
(1
), pp. 2
–47
.10.1016/j.pecs.2005.10.0017.
Teh
, K.-Y.
, and Edwards
, C. F.
, 2008
, “An Optimal Control Approach to Minimizing Entropy Generation in an Adiabatic Internal Combustion Engine
,” J. Dyn. Syst., Meas., Control
, 130
(4
), p. 041008.10.1115/1.29368648.
Ge
, Y.
, Chen
, L.
, and Sun
, F.
, 2012
, “Optimal Path of Piston Motion of Irreversible Otto Cycle for Minimum Entropy Generation With Radiative Heat Transfer Law
,” J. Energy Inst.
, 85
(3
), pp. 140
–149
.10.1179/1743967112Z.000000000259.
Caton
, J. A.
, 2000
, “The Effect of Burn Rate Parameters on the Operating Attributes of a Spark-Ignition Engine as Determined From the Second Law of Thermodynamics
,” Spring Technical Conference of the ASME ICE Divisio
n
.10.
Ge
, Y.
, Chen
, L.
, and Sun
, F.
, 2008
, “Finite-Time Thermodynamic Modeling and Analysis of an Irreversible Otto-Cycle
,” Appl. Energy
, 85
(7
), pp. 618
–624
.10.1016/j.apenergy.2007.09.00811.
Ge
, Y. L.
, Chen
, L. G.
, Sun
, F. R.
, and Wu
, C.
, 2007
, “Performance of Diesel Cycle With Heat Transfer, Friction, and Variable Specific Heats of Working Fluid
,” J. Energy Inst.
, 80
(4
), pp. 239
–242
.10.1179/174602207X24194112.
Ozsoysal
, O. A.
, 2009
, “Effects of Combustion Efficiency on a Dual Cycle
,” Energy Convers. Manage.
, 50
(9
), pp. 2400
–2406
.10.1016/j.enconman.2009.05.02913.
Gahruei
, M. H.
, Jeshvaghani
, H. S.
, Vahidi
, S.
, and Chen
, L.
, 2013
, “Mathematical Modeling and Comparison of Air Standard Dual and Dual-Atkinson Cycles With Friction, Heat Transfer and Variable Specific-Heats of the Working Fluid
,” Appl. Math. Modell.
, 37
(12–13
), pp. 7319
–7329
.10.1016/j.apm.2013.02.02514.
Ebrahimi
, R.
, and Hoseinpour
, M.
, 2013
, “Performance Analysis of Irreversible Miller Cycle Under Variable Compression Ratio
,” J. Thermophys. Heat Transfer
, 27
(3
), pp. 542
–548
.10.2514/1.T398115.
Hou
, S.-S.
, 2007
, “Comparison of Performances of Air Standard Atkinson and Otto Cycles With Heat Transfer Considerations
,” Energy Convers. Manage.
, 48
(5
), pp. 1683
–1690
.10.1016/j.enconman.2006.11.00116.
Descieux
, D.
, and Feidt
, M.
, 2007
, “One Zone Thermodynamic Model Simulation of an Ignition Compression Engine
,” Appl. Therm. Eng.
, 27
(8
), pp. 1457
–1466
.10.1016/j.applthermaleng.2006.10.00217.
Zhao
, Y.
, and Chen
, J.
, 2007
, “Optimum Performance Analysis of an Irreversible Diesel Heat Engine Affected by Variable Heat Capacities of Working Fluid
,” Energy Convers. Manage.
, 48
(9
), pp. 2595
–2603
.10.1016/j.enconman.2007.03.01418.
Abu-Nada
, E.
, Al-Hinti
, I.
, Akash
, B.
, and Al-Sarkhi
, A.
, 2007
, “Thermodynamic Analysis of Spark-Ignition Engine Using a Gas Mixture Model for the Working Fluid
,” Int. J. Energy Res.
, 31
(11
), pp. 1031
–1046
.10.1002/er.129619.
Sakhrieh
, A.
, Abu-Nada
, E.
, Al-Hinti
, I.
, Al-Ghandoor
, A.
, and Akash
, B.
, 2010
, “Computational Thermodynamic Analysis of Compression Ignition Engine
,” Int. Commun. Heat Mass Transfer
, 37
(3
), pp. 299
–303
.10.1016/j.icheatmasstransfer.2009.11.00220.
Menacer
, B.
, and Bouchetara
, M.
, 2013
, “Numerical Simulation and Prediction of the Performance of a Direct Injection Turbocharged Diesel Engine
,” Simulation
, 89
(11
), pp. 1355
–1368
.10.1177/003754971349924921.
Merker
, G. P.
, Schwarz
, C.
, Stiesch
, G.
, and Otto
, F.
, 2006
, Simulating Combustion
, Springer-Verlag
, Berlin, Heidelberg
.22.
Stiesch
, G.
, 2003
, Modeling Engine Spray and Combustion Processes, Springer-Verlag Berlin
, Heidelberg.
23.
Scappin
, F.
, Stefansson
, S. H.
, Haglind
, F.
, Andreasen
, A.
, and Larsen
, U.
, 2012
, “Validation of a Zero-Dimensional Model for Prediction of NOx and Engine Performance for Electronically Controlled Marine Two-Stroke Diesel Engines
,” Appl. Therm. Eng.
, 37
, pp. 344
–352
.10.1016/j.applthermaleng.2011.11.04724.
Payri
, F.
, Olmeda
, P.
, Martin
, J.
, and Garcia
, A.
, 2011
, “A Complete 0D Thermodynamic Predictive Model for Direct Injection Diesel Engines
,” Appl. Energy
, 88
(12
), pp. 4632
–4641
.10.1016/j.apenergy.2011.06.00525.
Asay
, R. J.
, Svensson
, K. I.
, and Tree
, D. R.
, 2004
, “An Empirical, Mixing-Limited, Zero-Dimensional Model for Diesel Combustion
,” SAE Paper 2004-01-0924.26.
Franzke
, D. E.
, 1981
, “Beitrag zur Ermittlung eines Klopfkriteriums der ottomotorischen Verbrennung und zur Vorausberechnung der Klopfgrenze
,” Ph.D. thesis, TU München.27.
Sundström
, O.
, and Guzzella
, L.
, 2009
, “A Generic Dynamic Programming Matlab Function
,” Control Applications, (CCA) Intelligent Control, (ISIC), 2009 IEEE,
St. Petersburg, Russia, July 8–10, pp. 1625
–1630
.10.1109/CCA.2009.528113128.
Bertsekas
, D. P.
, 1995
, Nonlinear Programming
, Athena Scientific
, Belmont, MA
.29.
Moran
, M. J.
, and Shapiro
, H. N.
, 1995
, Fundamentals of Engineering Thermodynamics
, Wiley
, New York
.30.
2004
, “Thermodynamic Tables: Hydrocarbons and Non-Hydrocarbons,” http://www.trc.nist.gov/tables/trctables.htmCopyright © 2014 by ASME
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