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Modeling of Pressure Wave Reflection from Open-Ends in I.C.E. Duct Systems
ISSN: 0148-7191, e-ISSN: 2688-3627
Published April 12, 2010 by SAE International in United States
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In the most elementary treatment of plane-wave reflection at the open end of a duct system, it is often assumed that the ends are pressure nodes. This implies that pressure is assumed as a constant at the open end termination and that steady flow boundary condition is supposed as instantaneously established. While this simplifying assumption seems reasonable, it does not consider any radiation of acoustic energy from the duct into the surrounding free space; hence, an error in the estimation of the effects of the flow on the acoustical response of an open-end duct occurs. If radiation is accounted, a complicated three-dimensional wave pattern near the duct end is established, which tends to readjust the exit pressure to its steady-flow level. This adjustment process is continually modified by further incident waves, so that the effective instantaneous boundary conditions which determine the reflected waves depend on the flow history.
In this work, a theoretical model to compute the reflected wave on the flow history is proposed. The model has been implemented as a boundary condition in a 1D thermo-fluid dynamic code for internal combustion engine simulation and it has been validated over a set of measurements, that were carried out on an experimental test rig for a variety of engine-like flow conditions.
CitationPiscaglia, F., Montorfano, A., Onorati, A., and Ferrari, G., "Modeling of Pressure Wave Reflection from Open-Ends in I.C.E. Duct Systems," SAE Technical Paper 2010-01-1051, 2010, https://doi.org/10.4271/2010-01-1051.
- Benson R. S. The Thermodynamics and Gas Dynamics of Internal Combustion Engines Clarendon Press 1986
- Winterbone D.E. Pearson R. J. Theory of Engine Manifold Design Professional Engineering Publishing London 2000
- Munjal M. L. Acoustics of ducts and mufflers: with application to exhaust and ventilation system design John Wiley and Sons New York 1987
- Davies P. O. A. L. Vamen E. E. A. The reflection of waves of finite amplitude at an open exhaust Journal of Sound and Vibration 122 594 497 1988
- Landau L. D. Lifshitz E. M. Fluid Mechanics Pergamon Press 1959
- Onorati A. Prediction of acoustical performances of muffling pipe systems by the method of characteristics Journal of Sound and Vibration 171 3 369 395 1994
- Rudinger George On the reflection of shock waves from an open end of a duct Journal of Applied Physics 26 8 August 1955
- Rudinger George The reflection of pressure waves of finite amplitude from an open end of a duct Journal of Fluid Mechanics 3 01 48 66 1957
- Glass I. I. The design of a wave interaction tube University of Toronto, Institute of Aerophysics UTIA Rept. No. 6 May 1950
- Keller J. B. Diffraction of a shock or an electromagnetic pulse by a right-angled wedge J. Appl. Phys. 23 1267 1268 1958
- Davies P. O. A. L. Practical flow duct acoustics Journal of Sound and Vibration 124 91 115 1988
- Rudinger George Wave Diagrams for Nonsteady Flow in Ducts. D. Van Nostrand Company (Canada), Ltd. 1955
- Shapiro A. H. The Dynamics and Thermodynamics of Compressible Fluid Flow II New York Ronald 1954
- Davis S. F. A simplified tvd finite difference scheme via artificial viscosity SIAM J. Sci. Stat. Comput. 8 1-18 1987
- Davis S. F. TVD finite difference schemes and artificial viscosity NASA CR 1984
- LeVeque R. J. Numerical methods for conservation laws. ETH Zurich 1992
- http://www.engines.polimi.it/GASDYN.html Internal Combustion Engine Group, Politecnico di Milano 2009
- Ferzigerand J. H. Perić M. Computational Methods for Fluid Dynamics. Springer 1997