Three-Dimensional Computations of the Impulsive Wave Discharged from a Duct

  • Lee Young-Ki (School of Mechanical Engineering, Andong National University) ;
  • Kweon Yong-Hun (Department of Energy and Environmental Engineering, Kyushu University) ;
  • Kim Heuy-Dong (School of Mechanical Engineering, Andong National University) ;
  • Setoguchi Toshiaki (Department of Mechanical Engineering, Saga University)
  • Published : 2005.02.01

Abstract

A sudden discharge of mass flow from the exit of a duct can generate an impulsive wave, generally leading to undesirable noise and vibration problems. The present study develops an understanding of unsteady flow physics with regard to the impulsive wave discharged from a duct, using a numerical method. A second order total variation diminishing scheme is employed to solve three-dimensional, unsteady, compressible Euler equations. Computations are performed for several exit conditions with and without ground and wall effects under a change in the Mach number of an initial shock wave from 1.1 to 1.5. The results obtained show that the directivity and magnitude of the impulsive wave discharged from the duct are significantly influenced by the initial shock Mach number and by the presence of the ground and walls.

Keywords

References

  1. Britan, A. B., Rudnitskii, A. Ya. and Starik, A. M., 1988, 'Numerical Modeling of Reflection of a Shock Wave at a Wall with an Aperture,' High Temp., Vol. 25, No.5, pp. 712-718
  2. Cooke, C. H. and Fansler, K. S., 1989, 'Comparison with Experiment for TVD Calculations of Blast Waves from a Shock Tube,' Intl. J. Numer. Meth. Fluids, Vol. 9, No. 1, pp.9-22 https://doi.org/10.1002/fld.1650090103
  3. Fox, J. A. and Vardy, A. E., 1973, 'The Generation and Alleviation of Air Pressure Transients Caused by the High Speed Passage of Vehicles Through Tunnels,' Proc. 1st International Symposium on Aerodynamics and Ventilation of Vehicle Tunnels, pp. G3.49-G3.64
  4. Jiang, Z., Onodera, K. and Takayama, K., 1999, 'Evolution of Shock Waves and the Primary Vortex Loop Discharged from a Square Cross-Sectional Tube,' Shock Waves, Vol. 9, pp. 1-10 https://doi.org/10.1007/s001930050133
  5. Kashimura, H., Setoguchi, T., Kim, H. D., Kweon, Y. H. and Matsuo, K., 1999, 'Emission of a Propagating Shock Wave from an Open End of a Tube,' Transaction of the JSME, Part B, Vol. 65, No. 633, pp. 1665-1670 https://doi.org/10.1299/kikaib.65.1665
  6. Kentfield, J. A. C., 1993, Nonsteady, One-Dimensional, Internal, Compressible Flows (Theory and Applications), Oxford University Press, Oxford, Ch. 7
  7. Kim, H. D., Kweon, Y. H., Aoki, T. and Setoguchi, T., 2004, 'A New Technique for the Control of a Weak Shock Discharged from a Tube,' IMechE Part C : J. Mechanical Engineering Science, Vol. 218, pp. 377-387 https://doi.org/10.1177/095440620421800403
  8. Kim, H. D., Kweon, Y. H. and Setoguchi, T., 2003, 'A Study of the Impulsive Wave Discharged from Inclined Exit of a Tube,' IMechE Part C : J. Mechanical Engineering Science, Vol. 217, No.2, pp. 271-279 https://doi.org/10.1243/095440603762826585
  9. Kim,. H. D., Lee, D. H., Kashimura, H. and Setoguchi, T., 2003, 'Propagation Characteristics of Compression Waves Reflected from the Open End of a Duct,' KSME Intl. J., Vol. 17, No.5, pp. 718-725
  10. Kim, H. D. and Setoguchi, T., 1999, 'Study of the Discharge of Weak Shocks from an Open End of a Duct,' J. Sound and Vibration, Vol. 226, No.5, pp. 1011-1028 https://doi.org/10.1006/jsvi.1999.2376
  11. Kim, H. D., Setoguchi, T., Kweon, Y. H., Miura, S. and Kashimura, H., 1998, 'Studies on Reflection of Weak Shock Waves from an Open End of a Tube with Baffle Plate,' Proc. 11th International Symposium on Transport Phenomena (ISTP-11), pp. 94-99
  12. Klingel, R. and Loffler, F., 1983, 'Dust Collection and Cleaning Efficiency of a Pulse Jet Fabric Filters,' Filtration and Separation, Vol. 20, pp. 205-208
  13. Klingenberg, G. and Heimerl, J. M., 1992, 'Gun Muzzle Blast and Flash,' Progress in Astronautics and Aeronautics, AIAA Educational Series, American Institute of Aeronautics and Astronautics
  14. Kweon, Y. H., Kim, H. D., Setoguchi, T. and Aoki, T., 2003, 'A Study of the Impulse Wave Discharged from the Exits of Two Parallel Tubes,' J. Thermal Science, Vol. 12, No. 4, pp. 332-336 https://doi.org/10.1007/s11630-003-0040-x
  15. Matsuo, K. and Aoki, T., 1992, 'Wave Problems in High-Speed Railway Tunnels,' Proc. 18th International Symposium on Shock Tube and Waves (Ed. Takayama, K.)
  16. Ozawa, S., Maeda, T., Matsumura, T., Uchida, K., Kajiyama, H. and Tanemoto, K, 1991, 'Countermeasures to Reduce Micro-Pressure Waves Radiating from Exits of Shinkansen Tunnels,' Proc. 7th International Symposium on the Aerodynamics and Ventilation of Vehicle Tunnels, Brighton
  17. Pennelegion, L. and Grimshaw, J. F., 1979, 'The Diffraction of the Blast Wave Emerging from a Conical Nozzle Driven by Compressible Gas,' Proc. 12th International Symposium on Shock Tubes and Waves, pp. 349-358
  18. Raghunathan, S., Kim, H. D. and Setoguchi, T., 1998, 'Impulse Noise and Its Control,' Prog. Aerospace Sci., Yol. 34, No. 1, pp. 1-44 https://doi.org/10.1016/S0376-0421(98)00013-X
  19. Rudinger, G., 1955, 'Improved Wave Diagram Procedure for Shock Reflection from an Open End of a Duct,' J. Appl. Physics, Vol. 26, No. 11, pp.1339-1341 https://doi.org/10.1063/1.1721904
  20. Rudinger, G., 1957, 'The Reflection of Pressure Wave of Finite Amplitude from an Open End of a Duct,' J. Fluid Mechanics, Vol. 3, No. 1, pp. 48-66 https://doi.org/10.1017/S0022112057000476
  21. Sekine, N., Matsumura, S., Aoki, K. and Takayama, K., 1989, 'Generation and Propagation of Shock Waves in the Exhaust Pipe of a Four Cycle Automobile Engine,' Proc. 17th International Symposium on Shock Wave and Shock Tube, pp. 671-676
  22. Setoguchi, T., Matsuo, K., Hidaka, F. and Kaneko, K., 1993, 'Impulsive Noise Induced by a Weak Shock Wave Discharged from an Open End of a Tube,' Acoustic Characteristics and Its Passive Control, American Society of Mechanical Engineers, New York, FED-Vol. 170, pp. 57-64
  23. Sod, G. A., 1977, 'A Numerical Study of a Converging Cylindrical Shock,' J. Fluid Mechanics, Vol. 83, pp. 785-794 https://doi.org/10.1017/S0022112077001463
  24. Yee, H. C., 1987, 'Upwind and Symmetric Shock Capturing Schemes,' NASA TM-89464
  25. Zinn, B. T., 1985, 'Pulsating Combustion,' Trans. ASME, Mech. Engng., Vol. 107, No. 8, pp. 36-41