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Numerical investigation of overexpanded nozzle flows

Asymmetrical configuration and hysteresis phenomenon

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Abstract

The flow in a planar overexpanded nozzle with a slope discontinuity is studied numerically by means of two- (2D) and three-dimensional (3D) Reynolds-averaged Navier–Stokes simulations and is compared to experimental results. The nozzle pressure ratios (NPR) vary from 1.6 to 10. A good agreement is found between experimental and numerical results and two configurations are observed: under a certain critical NPR, the flow is shown to be asymmetrical with respect to the nozzle axis, while it is perfectly symmetrical for higher NPRs. The value of the critical NPR is found to be very dependent on the turbulence model. Finally, an hysteresis phenomenon is evidenced since the NPR at which the change of flow configuration occurs is different whether the NPR is increasing or decreasing in the nozzle.

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References

  1. Nave, L.H., Coffey, G.A.: Sea level side loads in high-area-ratio rocket engines. AIAA Paper 73–1284 (1973)

  2. Girard, S.: Etude des Interférences de Choc dans les tuyères surdétendues à choc interne. PhD report. Université Pierre et Marie Curie, Paris (2009)

  3. Bourgoing, A., Reijasse, Ph: Experimental analysis of unsteady separated flows in a supersonic planar nozzle. Shock Waves 14, 251–258 (2005)

    Article  Google Scholar 

  4. Lawrence, R.A.: Symmetrical and unsymmetrical separation in supersonic nozzles. Research report 67–1, Southern Methodist University, Dallas (1967)

  5. Reijasse, P., Corbel, B., Soulevant, D.: Unsteadiness and asymmetry of shock-induced separation in a planar two-dimensional nozzle: a flow description. AIAA Paper 99–3694 (1999)

  6. Pilinski, C., Nebbache, A.: Unsteady separated two-throat nozzle flows. Flow Turbul. Combust. 71, 247–259 (2003)

    Article  MATH  Google Scholar 

  7. Xiao, Q., Tsai, H.M., Papamoschou, D.: Numerical investigation of supersonic nozzle flow separation. AIAA J. 45, 532–540 (2007)

    Article  Google Scholar 

  8. Shimshi, E., Ben-Dor, G., Levy, A., Krothapalli, A.: Experimental investigation of asymmetric and unsteady flow separation in high Mach number planar nozzles. In: Kontis, K. (Ed.). Proceedings of the 28th international symposium on shock waves, vol. 1, pp. 129–134. Springer, Heidelberg (2012)

  9. Ivanov, M.S., Gimelshein, S.F., Beylich, A.E.: Hysteresis effect in stationary reflection of shock waves. Phys. Fluids 7, 685–687 (1995)

    Article  MATH  Google Scholar 

  10. Shimshi, E., Ben-Dor, G., Levy, A.: Viscous simulations of shock-reflection hysteresis in overexpanded planar Nozzles. J. Fluid Mech. 635, 189–206 (2009)

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Laboratoire de Mécanique et d’Energétique d’Evry, 40 rue du Pelvoux, 91020 , Evry Cedex, France

    M. Sellam, G. Fournier & A. Chpoun

  2. ONERA, 8 rue des vertugadins, 92190 , Meudon, France

    Ph. Reijasse

Authors
  1. M. Sellam
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  2. G. Fournier
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  3. A. Chpoun
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  4. Ph. Reijasse
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Corresponding author

Correspondence to G. Fournier.

Additional information

Communicated by H. Olivier and K. Kontis.

The paper was based on work that was presented at the 28th International Symposium on Shock Waves, 17–22 July.

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Sellam, M., Fournier, G., Chpoun, A. et al. Numerical investigation of overexpanded nozzle flows. Shock Waves 24, 33–39 (2014). https://doi.org/10.1007/s00193-013-0458-3

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  • DOI: https://doi.org/10.1007/s00193-013-0458-3

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