Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-28T18:02:19.686Z Has data issue: false hasContentIssue false
  • English
  • Français

An Effective Approach for Calculation of Exhaust Pipe Flows

Published online by Cambridge University Press:  05 May 2011

S.-M. Liang ,
S.-J. Tsai  and
S.-F. Wang
S.-M. Liang*
Affiliation:
Department of Computer Application Engineering, Far East University, Shin-Shih, Tainan County, Taiwan 74448, R.O.C.
S.-J. Tsai*
Affiliation:
Department of Aeronautics and Astronautics Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
S.-F. Wang*
Affiliation:
Department of Aeronautics and Astronautics Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Professor
**Former graduate student
**Former graduate student
Get access

Abstract

In this study an effective numerical approach is proposed for calculation of exhaust pipe flows. The flow inside an exhaust pipe is very complicated, since that flow involves pulsating hot gases with blast waves discharged from an internal combustion engine. In order to accurately simulate the complicated pulsating flow with the effects of heat transfer and friction at the duct wall, two systems of quasi-onedimensional model equations are employed, which resulted from the governing equations of the mass, momentum and energy conservation. One system of model equations with the terms of heat loss and wall friction results from the dimensionless governing equations based on dimensionless time variable t1 where t1 is defined as the dimensional time divided by the ratio of the pipe length to the time-average flow velocity at the pipe inlet. This system of model equations is numerically solved for a steady exhausted gas-flow without blast waves. The computed steady flow is referred as a basic flow. The other system of model equations without the terms of heat loss and wall friction results from the dimensionless governing equations based on dimensionless time variable t2, where t2 is defined as the dimensional time divided by the ratio of the pipe length to the speed of sound at the pipe inlet. The latter model is used for predicting exhausted gas-flows with blast waves. These two systems of model equations are solved by a th-order weighted essential non-oscillation scheme. It is found that the computed result of the peak pressures, temperature, and flow velocity at some check points for an exhaust pipe at different engine speeds agrees reasonably well with experimental data.

Keywords

Exhaust pipeWENO schemeRunge-Kutta methodPulsating flow.
Type
Articles
Information
Journal of Mechanics , Volume 25 , Issue 2 , June 2009 , pp. 177 - 188
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Blair, G. P. and Spechko, J. A., “Sound Pressure Levels Generated by Internal Combustion Engine Exhaust Systems,” SAE Paper 720155 (1972).CrossRefGoogle Scholar
2.Blair, G. P. and Coates, S. W., “Noise Produced by Unsteady Exhaust Efflux from an Internal Combustion Engine,” SAE Paper 730160 (1973).CrossRefGoogle Scholar
3.Jones, A. D., “Modeling the Exhaust Noise Radiated from Reciprocating Internal Combustion Engines—A Literature Review,” Noise Control Eng. J., 23, pp. 12–31 (1984).CrossRefGoogle Scholar
4.Li, P., Dai, G. and Zhu, Z., “Noise Radiation of a Strongly Pulsating Tailpipe Exhaust,” J. Sound and Vibration, 167, pp. 385–400 (1993).Google Scholar
5.Endo, M. and Iwamoto, J., “Numerical Analysis of Pulsatile Jet from Exhaust Pipe,” JSAE Review, 20, pp. 243–249 (1999).CrossRefGoogle Scholar
6.Sathyanarayana, Y. and Munjal, M. L., “A Hybrid Approach for Aeroacoustic Analysis of the Engine Exhaust System,” Appl. Acoustics, 60, pp. 425–450 (2000).CrossRefGoogle Scholar
7.Kim, H. D., Kweon, Y. H. and Setoguchi, T., “A Study of the Impulse Wave Discharged from the Inclined Exit of a Tube,” J. Mech. Eng. Sci., Part C, 217, pp. 271–279 (2003).CrossRefGoogle Scholar
8.Nakamura, H., Asano, I., Adachi, M. and Senda, J., “Analysis of Pulsating Flow Measurement of Engine Exhaust by a Pitot Tube Flowmeter,” Int. J. Engine Res., 6, pp. 85–93 (2005).CrossRefGoogle Scholar
9.Chiavola, O., “Integrated Modeling of Internal Combustion Engine Intake and Exhaust Systems,” Proc. of the Institution of Mech. Engrs., Part A, J. Power and Energy, 215, pp. 495–506 (2001).CrossRefGoogle Scholar
10.Wijetung, R. S., Hawley, J. G. and Vaughan, N. D., “An Exhaust Pressure Control Strategy for a Diesel Engine,” J. Automobile Eng., 218, pp. 449–464 (2004).CrossRefGoogle Scholar
11.Kweon, Y. H., Kim, H., AokiD., T. D., T. and Setoguchi, T., “A Study of the Impulse Waves Discharged from Convergent and Divergent Ducts,” J. Mech. Eng. Sci., C12, pp. 1469–1479 (2004).CrossRefGoogle Scholar
12.Kim, H. D., Kweon, Y. H. and Setoguchi, T., “A Study of the Impulse Wave Discharged from the Inclined Exit of a Tube,” J. Mech. Eng. Sci., Part C, 217, pp. 437–448 (2003).CrossRefGoogle Scholar
13.Liang, S. M. and Lo, C. P., “Shock/Vortex Interactions Induced by Blast Waves,” AIAA J., 41, pp. 1341–1346 (2003).CrossRefGoogle Scholar
14.Steinrück, H., Schneider, W. and Grillhofer, W., “A Multiple Scales Analysis of the Undular Hydraulic Jump in Turbulent Open Channel Flow,” Fluid Dyn. Res., 33, pp. 41–55 (2003).CrossRefGoogle Scholar
15.Cherng, G. and Na, T.-Y., “Effects of Area Change and Friction on Acoustic Propagation in Compressible Flow Through Long Ducts,” Int. J. Non-Linear Mech., 32, pp. 979–987 (1997).CrossRefGoogle Scholar
16.Jiang, G.-S. and Shu, C.-W., “Efficient Implementation of Weighted ENO Schemes,” J. Comp. Phys., 126, pp. 202–228 (1996).CrossRefGoogle Scholar
17.John, J. E. A., Gas Dynamics, Allyn and Bacon Inc., USA, p. 184 and p. 208 (1984).Google Scholar
18.Tsai, S. J., “A Combined Time-Scaling Solution Method for Simulation of an Exhaust Pipe,” master thesis, Department of Aeronautics and Astronautics Engineering, National Cheng Kung University, Tainan, Taiwan (2005).Google Scholar