Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
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THE FUNDAMENTAL SHOCK-VORTEX INTERACTION PATTERNS THAT DEPEND ON THE VORTEX FLOW REGIMES

  • Chang, Keun-Shik (Department of Mechanical and Aerospace Engineering Systems, KAIST) ;
  • Barik, Hrushikesh (Department of Mechanical and Aerospace Engineering Systems, KAIST) ;
  • Chang, Se-Myong (School of Mechanical Engineering, Kunsan National University)
  • Published : 2009.09.30
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Abstract

The shock wave is deformed and the vortex is elongated simultaneously during the shock-vortex interaction. More precisely, the shock wave is deformed to a S-shape, consisting of a leading shock and a lagging shock by which the corresponding local vortex flows are accelerated and decelerated, respectively: the vortex flow swept by the leading shock is locally expanded and the one behind the lagging shock is locally compressed. As the leading shock escapes the vortex in the order of microseconds, the expanded flow region is quickly changed to a compression region due to the implosion effect. An induced shock is developed here and propagated against the vortex flow. This happens for a strong vortex because the tangential flow velocity of the vortex core is high enough to make the induced-shock wave speed supersonic relative to the vortex flow. For a weak shock, the vortex is basically subsonic and the induced shock wave is absent. For a vortex of intermediate strength, an induced shock wave is developed in the supersonic region but dissipated prematurely in the subsonic region. We have expounded these three shock-vortex interaction patterns that depend on the vortex flow regime using a third-order ENO method and numerical shadowgraphs.

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References

  1. 1997, Ffowcs, W.J.E., Simson, J. and Vichis, V.J.,"'Crackle': an annoying component of jet noise,"Journal of Fluid Mechanics, Vol.7, pp.251-271
  2. 1965, Dosanjh, D.S. and Weeks, T.M., "Interaction of a starting vortex as well as a vortex street with a traveling shock wave," AIAA Journal, Vol.3,pp.216-223 https://doi.org/10.2514/3.2833
  3. 1985, Ribner, H.S., "Cylindrical sound wave generated by shock vortex interaction," AIAA Journal, Vol.23,pp.1708-1715 https://doi.org/10.2514/3.9155
  4. 1995, Ellzey, J.L., Henneke, M.R., Picone, J.M. and Oran, E.S., "The interaction of a shock with a vortex: Shock distortion and the production of acoustic waves," Phys. of Fluid, Vol.7, pp.172-183 https://doi.org/10.1063/1.868738
  5. 2000, Chang, S.-M. and Chang, K.-S., "Visualization of Shock-Vortex Interaction Radiating AcousticWaves," Journal of Visualization, Vol.3, pp.221-228 https://doi.org/10.1007/BF03181844
  6. 2004, Chang, K.-S. and Chang, S.-M., "Scattering of Acoustic waves in Shock-Vortex Interaction," Materials Science Forum, Vol.465-466, pp.131-138 https://doi.org/10.4028/www.scientific.net/MSF.465-466.131
  7. 2004, Chang, S.-M., Chang, K.-S. and Lee, S., "Reflection and Penetration of Shock Wave Interacting with a Starting Vortex," AIAA Journal, Vol.42(4), pp.796-805 https://doi.org/10.2514/1.9560
  8. 1999, Inoue, O. and Hattori, Y., "Sound generation by shock-vortex interactions," Journal of Fluid Mechanics,Vol.380, pp.81-116 https://doi.org/10.1017/S0022112098003565
  9. 2000, Grasso, F. and Pirozzoli, S., "Shock-wave-vortex interactions: Shock and vortex deformations and sound production," Theoretical and Computational Fluid Dynamics, Vol.13, pp.421-456 https://doi.org/10.1007/s001620050121
  10. 1999, Chatterjee, A., "Shock waves deformation in shock-vortex interactions," Shock Waves, Vol.9, pp.95-105 https://doi.org/10.1007/s001930050144
  11. 1988, Shu, C.W. and Osher, S., "Efficient implementation of essentially non-oscillatory shock-capturing schemes," Journal of ComputationalPhysics, Vol.77, pp.439-471 https://doi.org/10.1016/0021-9991(88)90177-5
  12. 1989, Shu, C.W. and Osher, S., "Efficient implementation of essentially non-oscillatory shock-capturing schemes, ii," Journal of ComputationalPhysics, Vol.83, pp.32-78 https://doi.org/10.1016/0021-9991(89)90222-2
  13. 2009, Chang, K.-S., Barik, H. and Chang, S.-M., "The shock-vortx interaction patterns affected by vortex flow regime and vortex models," Shock Waves, Vol.19, pp.349-360 https://doi.org/10.1007/s00193-009-0210-1