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Unsteady flow with separation behind a shock wave diffracting over curved walls

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Abstract

The unsteady separation of the compressible flow field behind a diffracting shock wave was investigated along convex curved walls, using shock tube experimentation at large length and time scales, complemented by numerical computation. Tests were conducted at incident shock Mach numbers of \(M_{\hbox {s}} =\) 1.5 and 1.6 over a 100 mm radius wall over a dimensionless time range up to \(\tau \le \) 6.45. The development of the near wall flow at \(M_{\hbox {s}} =\) 1.5 has been described in detail and is very similar to that observed for slightly lower \(\tau \)’s at \(M_{\hbox {s}} =\) 1.6. Computations were performed at wall radii of 100 and 200 mm and for incident shock Mach numbers from 1.5 up to and including Mach 2.0. Comparing dimensionless times for different size walls shows that for a given value of \(\tau \) the flow field is very similar for the various wall radii published to date and tested in this study. Previously published results that were examined alongside the results from this study had typical values of \(1.6 < \tau < 3.2\). At the later times presented here, flow features were observed that previously had only been observed at higher Mach numbers. The larger length scales allowed for a degree of Reynolds number independence in the results published here. The effect of turbulence on the numerical and experimental results could not be adequately examined due to limitations of the flow imaging system used and a number of questions remain unanswered.

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References

  1. Schlichting, H., Gersten, K.: Boundary-Layer Theory. Springer, Berlin (2003)

    Google Scholar 

  2. Delery, J.M.: Shock wave/Turbulent boundary layer interaction and its control. Prog. Aerosp. Sci. 22, 209–280 (1985)

    Article  Google Scholar 

  3. Skews, B.: The shape of a diffracting shock wave. J. Fluid Mech. 29, 297–304 (1967)

    Article  Google Scholar 

  4. Skews, B.: The perturbed region behind a diffracting shock wave. J. Fluid Mech. 29, 705–719 (1967)

    Article  Google Scholar 

  5. Skews, B.: Shock wave diffraction on multi-faceted and curved walls. Shock Waves. 14(3), 137–146 (2005)

    Article  MATH  Google Scholar 

  6. Law, C., et al., Skews, B., Menon, N., et al.: Near-wall features in transient compressible flow on convex walls. In: Jagadeesh, G., Arunan, E., Reddy, K.P.J. (eds.) roceedings of the 25th International Symposium on Shock Waves, pp. 77–82. Universities Press, Bangalore (2005)

  7. Muritala, A.O., Law, C., Skews, B.: Near wall effects on the global flow behaviour behind a diffracted shock wave. In: 7th South African Conference on Computational and Applied Mechanics. Pretoria (2010)

  8. Skews, B., Law, C., Muritala, A., Bode, S.: Shear layer behaviour resulting from shock wave diffraction. Exp. Fluids. 52(2), 417–424 (2012)

    Article  Google Scholar 

  9. Law, C., et al., Skews, B., Chin, K.H., et al.: Shock wave diffraction over complex convex walls. In: Hannemann, K., Seiler, F. (eds.) Proceedings of the 26th International Symposium on Shock Waves, pp. 1457–1472. Springer, Göttingen (2007)

  10. Dumitrescu, L.Z., Preda, S.: Some new results concerning the diffraction of a shock wave around a convex corner. In: Kamimoto, G. (ed.) Modem Developments in Shock Tube Research, Tenth International Shock Tube Symposium, pp. 369–377. Shock Tube Research Society, Japan (1975)

  11. Bazarov, S.B., Gvozdeva, L.G., Kryukov, B.P., Lagutov, Y.P., Landin, A.A., Zharkov, A.P.: Study of shock wave diffraction in gases at sharp and curved corners. In: Takayama K (ed.) Shock Waves, 18th International Symposium on Shock Waves, pp. 1155–1160. Springer (1991)

  12. Berezkina, M.K., Krasovskaya, L.V., Ofegeim, D.K.: Diffraction of a two-shock configuration by a convex cylindrical surface. Tech. Phys. 51(7), 827–833 (2006)

    Article  Google Scholar 

  13. Skews, B., Muritala, A.O., Lacovig, L., Law, C.: Large scale shock wave diffraction experiments. In: 29th International Congress on High-Speed Photography and Photonics, Morioka (2010)

  14. Sun, M., Takayama, K.: A note on numerical simulation of vortical structures in shock diffraction. Shock Waves. 13(1), 25–32 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  15. Menter, F.R.: Zonal two equation k-\(\omega \) turbulence models for aerodynamic flows, AIAA, pp. 93–2906 (1993)

  16. ANSYS® Fluent, Release 6.3, Help System, Theory Guide, ANSYS Inc.

  17. Versteeg, H.K., Malalasekera, W.: An introduction to computational fluid dynamics: the finite volume method. Addison Wesley Longman, Boston (1995)

  18. Kleine, H., Ritzerfeld, E., Gronig, H.: Shock wave diffraction at a ninety degree corner. Comput. Fluid Dyn. 12(2), 142–158 (2003)

    Google Scholar 

  19. Rogers, G.F.C., Mayhew, Y.R.: Thermodynamic and Transport Properties of Fluids. Basil Blackwell, Oxford (1991)

    Google Scholar 

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Authors and Affiliations

  1. Flow Research Unit School of Mechanical, Industrial and Aeronautical Engineering, University of the Witwatersrand, Johannesburg, PO Wits 2050, South Africa

    C. Law, A. O. Muritala & B. W. Skews

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  1. C. Law
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  2. A. O. Muritala
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  3. B. W. Skews
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Correspondence to C. Law.

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Communicated by A. Hadjadj.

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Law, C., Muritala, A.O. & Skews, B.W. Unsteady flow with separation behind a shock wave diffracting over curved walls. Shock Waves 24, 283–294 (2014). https://doi.org/10.1007/s00193-013-0486-z

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  • DOI: https://doi.org/10.1007/s00193-013-0486-z

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