Skip to main content
SpringerLink
Log in

Detailed Comparative Analysis of Interaction of a Supersonic Flow with a Transverse Gas Jet at High Pressure Ratios

  • GASES AND LIQUIDS
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

The interaction of a 3D supersonic turbulent gas flow with a transverse sonic jet injected from the wall has been studied in detail both numerically and experimentally. However, the main drawback of such studies is the lack of detailed description of formation and propagation of vortex structures for moderate and large parameters n (ratio of pressure in the jet to pressure in the flow). Analysis performed in this study is aimed at revelation and detailed explanation of mechanisms of formation of vortices behind the injected sonic jet in a supersonic oncoming flow depending on n for improving the effectiveness of mixing of the jet with the flow. As initial equations, we have used 3D Favre-averaged Navier–Stokes equations closed by the k–ω model of turbulence; these equations are solved using the algorithm based on the essentially nonoscillatory scheme of the third approximation order. We have demonstrated the presence of the following vortex structures known from a number of theoretical publications: two oppositely rotating vortices in front of the jet, a horseshoe vortex; and two pairs formed in the mixing zone between the jet and the flow (one in the wake behind the jet and the other on the lateral line of the jet). We have determined the pressure ratios for which extra pairs of vortices appear (one pair emerges at the Mach disk edge as a result of interaction of a retarded flow of the jet behind the Mach disk with a high-velocity ascending flow behind the barrel and the other pair is formed due to the interaction of the ascending jet flow with the incoming main gas flow). As a result of comparative analysis, the pressure ratios for which a clear pattern of additional horn vortices is observed near the wall in the region behind the jet, have been determined. The dependence of the slope of the bow shock on the pressure ratio has been plotted. It is found that the pressure distribution at the wall in front of the jet in the symmetry plane is in satisfactory agreement with experimental data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.

Similar content being viewed by others

REFERENCES

  1. A. I. Glagolev, A. I. Zubkov, and Yu. A. Panov, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 97 (1967).

  2. F. W. Spaid and E. E. Zukoski, AIAA J. 6, 205 (1968).

    Article  ADS  Google Scholar 

  3. J. A. Schetz, J. Spacecr. Rockets 7, 143 (1970).

    Article  ADS  Google Scholar 

  4. S. Aso, K. Inoue, K. Yamaguchi, and Y. Tani, Acta Astronaut. 65, 687 (2009).

    Article  ADS  Google Scholar 

  5. W. M. Van Lerberghe, J. G. Santiago, J. C. Dutton, and R. P. Lucht, AIAA J. 38, 470 (2000).

    Article  ADS  Google Scholar 

  6. C. F. Chenault and P. S. Beran, AIAA J. 37, 1257 (1999).

    Article  ADS  Google Scholar 

  7. D. Sun, C. Hu, and T. Cai, Appl. Math. Mech. 23, 107 (2002).

    Article  Google Scholar 

  8. E. H. Khali and Y. Yao, Proc. 53rd AIAA Aerospace Sciences Meeting, Kissimmee, United States, 2015. https://doi.org/10.2514/6.2015-0545

  9. V. Viti, R. Neel, and J. Schetz, Phys. Fluids 21, 046101 (2009).

    Article  ADS  Google Scholar 

  10. F. K. Lu and D. A. Dickmann, Proc. 12th French Congress on Visualization in Fluid Mechanics, Nice, France, 2008. https://pdfs.semanticscholar.org/6ebc/4e4762cb500d- 7a48cbd442ce09f1846eae2.pdf.

  11. A. O. Beketaeva and A. Zh. Naimanova, J. Appl. Mech. Tech. Phys. 52, 896 (2011). https://doi.org/10.1134/S0021894411060071

    Article  ADS  Google Scholar 

  12. W. Huang, J. Tan, J. Liu, and L. Yan, Acta Astronaut. 117, 142 (2015).

    Article  ADS  Google Scholar 

  13. A. O. Beketaeva, P. Bruel, and A. Zh. Naimanova, J. Appl. Mech. Tech. Phys. 56, 777 (2015). https://doi.org/10.1134/S0021894415050041

    Article  ADS  MathSciNet  Google Scholar 

  14. K. N. Volkov, V. N. Emelyanov, and M. C. Yakovchuk, J. Appl. Mech. Tech. Phys. 56, 789 (2015). https://doi.org/10.1134/S0021894415050053

    Article  ADS  Google Scholar 

  15. D. C. Wilcox, AIAA Paper No. 93-2905 (Orlando, 1993).

  16. T. J. Poinsot and S. K. Lele, J. Comput. Phys. 101, 104 (1992).

    Article  ADS  MathSciNet  Google Scholar 

  17. A. O. Beketaeva and A. Zh. Naimanova, Vychisl. Tekhnol. 12 (4), 17 (2007).

    Google Scholar 

  18. P. Bruel and A. Zh. Naimanova, Thermophys. Aeromech. 17, 531 (2010).

    Article  ADS  Google Scholar 

Download references

Funding

This study was supported by the Ministry of Education and Science of the Republic of Kazakhstan under the grant financing program “Numerical Simulation of Spatial Turbulent Compressible Flows with Injection of Jet and Solid Particle,” 2018–2020, identification no. AP05131555.

Author information

Authors and Affiliations

  1. Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan

    A. O. Beketaeva

  2. CNRS—University Pau & Pays Adour, LMAP—Inria CAGIRE Team, 64 013, Pau, France

    P. Bruel

  3. Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science of Republic of Kazakhstan, 050010, Almaty, Kazakhstan

    A. Zh. Naimanova

Authors
  1. A. O. Beketaeva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Bruel
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Zh. Naimanova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. O. Beketaeva.

Ethics declarations

The authors claim that there are no conflicts of interest.

Additional information

Translated by N. Wadhwa

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Beketaeva, A.O., Bruel, P. & Naimanova, A.Z. Detailed Comparative Analysis of Interaction of a Supersonic Flow with a Transverse Gas Jet at High Pressure Ratios. Tech. Phys. 64, 1430–1440 (2019). https://doi.org/10.1134/S1063784219100049

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784219100049

Search

Navigation