An original physical model to calculate the fluid dynamics and energy conversion in twin-entry turbocharger turbines for internal combustion engines is presented. The model is to be used as the boundary condition for one-dimensional wave action techniques and is also capable of considering variable gas properties and composition. The model is based on a simple variable-area approach; however, it is capable of adequately modelling complex flows that occur in multi-cylinder turbocharged engines. This is confirmed through the good agreement between calculated and measured turbine and engine parameters.
ZhangG. Q.AssanisD. N.Manifold gas dynamics modelling and its coupling with single-cylinder engine models using simulink. Trans. ASME, J. Engng Gas Turbines Power, 2003, 125, 563–571.
3.
ThompsonK. W.Time dependent boundary conditions for hyperbolic systems. J. Comput. Phys., 1987, 68, 1–24.
4.
PoinsotT. J.LeleS. K.Boundary conditions for direct simulations of compressible viscous flows. J. Comput. Phys., 1992, 101, 104–129.
5.
BaumM.PoinsotT.TheveninD.Accurate boundary conditions for multicomponent reactive flows. J. Comput. Phys., 1994, 116, 247–261.
6.
Okong'oN.BellanJ.Consistent boundary conditions for multicomponent real gas mixtures based on characteristics waves. J. Comput. Phys., 2002, 176, 330–344.
7.
KatrašnikT.Improved model to determine turbine and compressor boundary conditions with the method of characteristics. Int. J. Mech. Sci., 2006, 48 (5), 504–516.
8.
PischingerR.KrassnigG.TaučarG.SamsT.Thermodynamik der Verbrennungskraftmachine, 1989 (Springer-Verlag, Berlin).
9.
OtobeY.GotoO.MiyanoH.KawamotoM.AokiA.OgawaT.Honda Formula One turbo-charged V-6 1.5L engine. SAE paper 890877, 1989.
10.
GuderleyG.Nonstationary gas flow in thin pipes of variable cross section. Technical Memorandum NACA TM 1196, National Advisory Committee for Aeronautics, 1948.
11.
BensonR. S.Unsteady isentropic flow with variable specific heats. J. R. Aeronaut. Soc., 1956, 60, 347–348.
12.
WinterboneD. E.PearsonR. J.A solution of the wave equation using real gases. Int. J. Mech. Sci., 1992, 34 (12), 917–932.
13.
BensonR. S.One-dimensional transient flow in a pipe with two gases. Engineer, 1956, 202, 687–691.
14.
BensonR. S.WildA.WoollattD.Effects of variable specific heats and gas composition on unsteady flow calculations. Proc. Instn Mech. Engrs, Part 3G (I), 1969, 184, 101–107.
15.
PearsonR. J.WinterboneD. E.Calculating the effects of variation in composition on wave propagation in gases. Int. J. Mech. Sci., 1993, 35 (6), 517–537.
16.
BensonR. S.AnnandW. J. D.BaruahP. C.A simulation model including intake and exhaust systems for a single cylinder four stroke cycle spark ignition engine. Int. J. Mech. Sci., 1975, 17, 97–124.
17.
BlairG. P.Design and simulation of two-stroke engines, 1996 (SAE International, Warrendale, Pennsylvania).
18.
BensonR. S.GargR. D.WoollattD.A numerical solution of unsteady flow problems. Int. J. Mech. Sci., 1964, 6, 117–144.
19.
PalfreymanD.Martinez-BotasR. F.Turbo-charger turbine unsteady computational study. In Proceedings of the Conference onThermo- and fluid-dynamic processes in diesel engines (THIESEL 2004), Valencia, Spain, September 2004, pp. 1–21.
20.
LamJ. K. W.RobertsQ. D. H.McDonnellG. T.Flow modelling of a turbocharger turbine under pulsating flow. IMechE Conference Transactions, paper C602/025/2002, 2002.
21.
BensonR. S.The thermodynamics and gas dynamics of internal combustion engines, Vol. 1, 1982 (Clarendon, Oxford).
22.
HribernikA.Modeling of boundary conditions for a twin-entry automotive diesel engine turbine. PhD Thesis, Faculty of Mechanical Engineering, University of Maribor, Slovenia, 1994.
23.
HribernikA.DobovišekZ.ČernejA.Application of rotor characteristics for one-dimensional turbine modelling. IMechE Conference Transactions, paper C484/034/94, 1994.
24.
PayriF.BenajesJ.ReyesM.Modelling of supercharger turbines in internal-combustion engines. Int. J. Mech. Sci., 1996, 38 (8–9), 853–869.
25.
BainesN. C.Hajilouy-BenisiA.YeoJ. H.The pulse flow performace and modelling of radial inflow turbines. IMechE Conference Transactions, paper C484/006/94, 1994.
26.
WallaceF. J.MilesJ.Performance of inward radial flow turbines under unsteady flow conditions with full and partial admission. Proc. Instn Mech. Engrs, 1970–71, 185, 1091–1105.
27.
CapobiancoM.GambarottaA.Unsteady flow performance of turbocharger radial turbines. IMechE Conference Transactions, paper C405/017, 1990.
WinterboneD. E.NikpourB.FrostH.A contribution to the understanding of turbocharger turbine performance in pulsating flow. IMechE Conference Transactions, paper C433/011, 1991.
30.
CapobiancoM.GambarottaA.CipollaG.Influence of the pulsating flow operation on the turbine characteristics of a small internal combustion engine turbocharger. IMechE Conference Transactions, paper C372/019, 1989.
31.
WinterboneD. E.PearsonR. J.Turbocharger turbine performance under unsteady flow - a review of experimental results and proposed models. IMechE Conference Transactions, paper C554/031, 1998.
32.
KaramanisN.Martinez-BotasR. F.Mixed-flow turbines for automotive turbochargers: Steady and unsteady performance. Int. J. Engine Res., 2002, 3 (3), 127–138.
33.
KaramanisN.Martinez-BotasR. F.SuC. C.Mixed flow turbines: Inlet and exit flow under steady and pulsating conditions. J. Turbomachinery, 2001, 123, 359–371.
ChenH.WinterboneD. E.A method to predict performanve of vaneless radial turbines under steady and unsteady flow conditions. IMechE Conference Transactions, paper C405/008, 1990.
36.
ChenH.HakeemI.Martinez-BotazR. F.Modelling of a turbocharger under pusating inlet conditions. Proc. Instn Mech. Engrs, Part A: J. Power and Energy, 1996, 210, 397–408.
37.
KatrašnikT.Numerical modelling of transient processes in a turbocharged diesel engine. PhD Thesis, Dr 278, Faculty of Mechanical Engineering, University of Ljubljana, Slovenia, 2004.
38.
BulatyT.NiessnerH.Calculation of 1-D unsteady flows in pipe systems of IC engines. In Proceedings of the ASME Annual Winter Meeting, New Orleans, Louisiana, 1984, pp. 83–88 (American Society of Mechanical Engineers, New York).
39.
BassettM. D.WinterboneD.E.PearsonR.J.Calculation of steady flow pressure loss coeficients for pipe junctions. Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 2001, 215, 861–881.
40.
CorberanJ. M.A new constant pressure model for N-branch junctions. Proc. Instn Mech. Engrs, Part D: J. Automobile Engineering, 1992, 206, 117–123.
41.
PearsonR. J.WinterboneD. E.BromnickP. A.Comprehensive charge-cooler model for simulating gas dynamics in engine manifolds. SAE paper 2000–01-1264, 2000.
42.
KatrašnikT.TrencF.Improved symmetric total variation diminishing scheme. Kuhljevi Dnevi 2004, Zbornik Del, 2004, pp. 131–148 (Slovensko Društvo za Mehaniko, Ljubljana).
43.
GratacosM. P.Determination of a model that determines mechanical losses in diesel engines. University Study Diploma Thesis, Faculty of Mechanical Engineering, University of Ljubljana, Slovenia, 2005.
44.
KatrašnikT.RodmanS.TrencF.HribernikA.MedicaV.Improvement of the dynamic characteristic of an automotive engine by a turbocharger assisted by an electric motor. Trans. ASME, J. Engng, Gas Turbine Power, 2003, 125 (2), 590–595.
45.
KatrašnikT.TrencF.MedicaV.MarkičS.An analysis of turbocharged diesel engine dynamic response improvement by electric assisting systems. Trans. ASME, J. Engng Gas Turbine Power, 2005, 127 (4), 918–926.
46.
KatrašnikT.TrencF.MedicaV.Analysis of the dynamic response improvement of a turbo-charged diesel engine driven alternating current generating set. Energy Conversion Managmt, 2005, 46 (18–19), 2838–2855.
