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Shock–vortex interactions in a soap film

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Abstract

This work experimentally visualizes the interaction of a quasi-one-dimensional moving shock wave with a two-dimensional vortex in a soap film for the first time. A vertical soap film shock tube was used to generate a quasi-one-dimensional moving shock wave and a NACA-0012 airfoil intruded into the soap film was towed to shed the starting vortex. The interesting interaction phenomena were then visualized using a traditional high-speed flash photography. The concentration of sodium dodecyl sulfate (SDS) used was 0.5 CMC (critical micelle concentration) to keep the surfactant molecules behave as two-dimensional gases. A sequence of pictures shows that the shock is distorted non-symmetrically as it passes through the spiral vortex flow field and the vortex structure is compressed in the direction normal to the shock. These flow features observed in soap films are qualitatively similar to their counterparts in gases. In addition, the visualization of the interactions of a quasi-one-dimensional moving shock wave with a Kármán vortex street are presented.

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References

  1. Barik H., Chatterjee A.: Existence criteria for reflection configurations in shock–vortex interactions. Shock Waves 16, 309–320 (2007)

    Article  Google Scholar 

  2. Bayliss A., Maestrello L.: Simulation of instabilities and sound radiation in a jet. AIAA J. 19, 835–841 (1981)

    Article  Google Scholar 

  3. Cattafesta, L.N., Settles, G.S.: Experiments on shock/vortex interaction. AIAA paper 92-0315 (1992)

  4. Chang C.T.: Interaction of a plane shock and oblique plane disturbances with special reference to entropy waves. J. Aero Sci. 24, 675–682 (1957)

    Article  MathSciNet  Google Scholar 

  5. Chatterjee A.: Shock wave deformation in shock–vortex interactions. Shock Waves 9, 95–105 (1999)

    Article  Google Scholar 

  6. Chen H., Liang S.M.: Planar blast/vortex interaction and sound generation. AIAA J. 40, 2298–2304 (2002)

    Article  Google Scholar 

  7. Chomaz J.M.: The dynamics of a viscous soap film with soluble surfactant. J. Fluid Mech. 442, 387–409 (2001)

    Article  MathSciNet  Google Scholar 

  8. Delery J., Horowitz E., Leuchter O., Solignac J.L.: Fundamental studies on vortex flows. La Recherche Aerospatiale 2, 1–24 (1984)

    Google Scholar 

  9. Dosanjh D.S., Weeks T.M.: Interaction of a starting vortex as well as a vortex street with a traveling shock wave. AIAA J. 3, 216–223 (1965)

    Article  Google Scholar 

  10. Ellzey J.L., Henneke M.R., Picone J.M., Oran E.S.: The interaction of a shock with a vortex: shock distortion and the production of acoustic waves. Phys. Fluids 7, 172–184 (1995)

    Article  MathSciNet  Google Scholar 

  11. Guichard L., Vervisch L., Domingo P.: Two-dimensional weak shock–vortex interaction in a mixing zone. AIAA J. 33, 1797–1802 (1995)

    Article  Google Scholar 

  12. Hollingsworth M.A., Richards E.J.: A Schlieren study of the interaction between a vortex and a shock wave in a shock tube. Aeronaut. Res. Counc. Rep. 17985, FM 2323 (1955)

    Google Scholar 

  13. Hollingsworth, M.A., Richards, E.J.: On the sound generation by the interaction of a vortex and a shock wave. Aeronaut. Res. Counc. Rep. 18257, FM 2371 (1956)

    Google Scholar 

  14. Inoue O., Hattori Y.: Sound generation by shock–vortex interactions. J. Fluid Mech. 380, 81–116 (1999)

    Article  MathSciNet  Google Scholar 

  15. Kopriva, D.A.: A multidomain spectral collocation computation of the sound generated by a shock–vortex interaction. In: Lee, D., Schultz, M.H. (eds.) Computational Acoustics: Algorithms and Applications, vol. 2. Elsevier, Amsterdam (1988)

  16. Lasseigne D.G., Jackson T.L., Hussaini M.Y.: Nonlinear interaction of a detonation/vorticity wave. Phys. Fluids A 3, 1972–1979 (1991)

    Article  Google Scholar 

  17. Lighthill M.J.: On the energy scattered from the interaction of turbulence with sound or shock waves. Proc. Camb. Phil. Soc. 49, 531–551 (1953)

    Article  MathSciNet  Google Scholar 

  18. Meadows K.R., Kumar A., Hussaini M.Y.: Computational study on the interaction between a vortex and a shock wave. AIAA J. 29, 174–179 (1991)

    Article  Google Scholar 

  19. Naumann, A., Hermanns, E.: On the interaction between a shock wave and a vortex field. AGARD-CP-131: 23_1–23_ 10 (1973)

  20. Pao, S.P., Salas, M.D.: A numerical study of two-dimensional shock–vortex interaction. AIAA paper, pp. 81–1205 (1981)

  21. Ribner, H.S.: Convection of a pattern of vorticity through a shock wave. NACA Rep. 1164 (1954)

  22. Ribner H.S.: Cylinder sound wave generated by shock–vortex interaction. AIAA J. 23, 1708–1715 (1985)

    Article  Google Scholar 

  23. Ting L.: Transmission of singularities through a shock wave and the sound generation. Phys. Fluids 17, 1518–1526 (1974)

    Article  Google Scholar 

  24. Weeks T.M., Dosanjh D.S.: Sound generated by shock–vortex interactions. AIAA J. 5, 660–669 (1967)

    Article  Google Scholar 

  25. Wen C.Y., Chen Y.M., Chang-Jian S.K.: A soap film shock tube to study two-dimensional compressible flows. Exp. Fluids 31, 19–25 (2001)

    Article  Google Scholar 

  26. Wen C.Y., Lai J.Y.: Analogy between soap film and gas dynamics. I. Equations and shock jump conditions. Exp. Fluids 34, 107–114 (2003)

    Article  Google Scholar 

  27. Wen C.Y., Chang-Jian S.K., Chuang M.J.: Analogy between soap film and gas dynamics. II. Experiments on one-dimensional motion of shock waves in soap films. Exp. Fluids 34, 173–180 (2003)

    Article  Google Scholar 

  28. Zang T.A., Hussaini M.Y., Bushnell D.M.: Numerical computations of turbulence amplification in shock wave interactions. AIAA J. 22, 13–21 (1984)

    Article  Google Scholar 

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Correspondence to C. Y. Wen.

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Communicated by O. Igra.

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Wen, C.Y., Wu, W.J. & Chen, H. Shock–vortex interactions in a soap film. Shock Waves 18, 185–191 (2008). https://doi.org/10.1007/s00193-008-0161-y

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