Skip to main content
Log in

Numerical simulation of the interaction of a transverse jet with a supersonic flow using different turbulence models

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

This paper presents a numerical simulation of the flow resulting from transverse jet injection into a supersonic flow through a slot nozzle at different pressures in the injected jet and the crossflow. Calculations on grids with different resolutions use the Spalart–Allmaras turbulence model, the kε model, the kω model, and the SST model. Based on a comparison of the calculated and experimental data on the wall pressure distribution, the length of the recirculation area, and the depth of jet penetration into the supersonic flow, conclusions are made on the accuracy of the calculation results for the different turbulence models and the applicability of these models to similar problems.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. E. Hassan, J. Boles, A. Hikaru, et al., “Supersonic Jet and Crossflow Interaction: Computational Modeling,” Progr. Aerospace Sci. 57 (1), 1–24 (2013).

    Article  ADS  Google Scholar 

  2. M. S. Yakovchuk, “Numerical Simulation of the Dynamic Processes of Jet Injection into the Supersonic Part of a Nozzle,” Vestn. Samar. Gos. Aerokosm. Univ., No. 3, 359–367 (2012).

    Google Scholar 

  3. A. R. Karagozian, “Transverse Jets and Their Control,” Progr. Energy Combust. Sci. 36 (5), 531–553 (2010).

    Article  Google Scholar 

  4. K. Mahesh, “The Interaction of Jets with Crossflow,” Annual Rev. Fluid Mech. 45, 379–407 (2013).

    Article  MathSciNet  ADS  Google Scholar 

  5. R. I. Sykes, W. S. Lewellen, and S. F. Parker, “On the Vorticity Dynamics of a Turbulent Jet in a Crossflow,” J. Fluid Mech. 168, 393–413 (1986).

    Article  MATH  ADS  Google Scholar 

  6. T. F. Fric and A. Roshko, “Vortical Structure in the Wake of a Transverse Jet,” J. Fluid Mech. 279, 1–47 (1994).

    Article  ADS  Google Scholar 

  7. H. Johari, M. Pacheco-Tougas, and J. C. Hermanson, “Penetration and Mixing of Fully Modulated Turbulent Jets in Crossflow,” AIAA J. 37 (7), 842–850 (1999).

    Article  ADS  Google Scholar 

  8. T. T. Lim, T. H. New, and S. C. Luo, “On the Development of Large-Scale Structures of a Jet Normal to a Crossflow,” Phys. Fluids 13 (3), 770–776 (2001).

    Article  MathSciNet  ADS  Google Scholar 

  9. C. J. Roy and F. G. Blottner, “Review and Assessment of Turbulence Models for Hypersonic Flows,” Progr. Aerospace Sci. 42 (7/8), 469–530 (2006).

    Article  ADS  Google Scholar 

  10. J. A. Schetz and F. S. Billig, “Penetration of Gaseous Jets Injected into a Supersonic Stream,” J. Spacecraft Rockets 3 (11), 1658–1665 (1966).

    Article  ADS  Google Scholar 

  11. A. Ben-Yakar, M. G. Mungal, and R. K. Hanson, “Time Evolution and Mixing Characteristics of Hydrogen and Ethylene Transverse Jets in Supersonic Crossflows,” Phys. Fluids 18 (2), 026101 (2006).

    Article  ADS  Google Scholar 

  12. D. A. Dickmann and F. K. Lu, “Shock/Boundary Layer Interaction Effects on Transverse Jets in Crossflow over a Flat Plate,” AIAA Paper No. 2008-3723 (Seattle, 2008).

    Google Scholar 

  13. M. R. Gruber, A. S. Nejad, T. H. Chen, and J. C. Dutton, “Large Structure Convection Velocity Measurements in Compressible Transverse Injection Flow-Fields,” Exp. Fluids 22 (5), 397–407 (1997).

    Article  Google Scholar 

  14. B. Stahl, H. Emunds, and A. Gülhan, “Experimental Investigation of Hot and Cold Side Jet Interaction with a Supersonic Cross-Flow,” Aerospace Sci. Technol. 13 (8), 488–496 (2009).

    Article  Google Scholar 

  15. N. Qin and A. Redlich, “Massively Separated Flows due to Transverse Sonic Jet in Laminar Hypersonic Stream,” Shock Waves 9 (2), 87–93 (1999).

    Article  MATH  ADS  Google Scholar 

  16. A. M. Teverovskii, “Approximate Calculation of the Flat Interaction of a Side Jet with a Supersonic Flow,” Tr. Tsentr. Inst. Aviats. Motorostr., No. 482, 4–12 (1971).

    Google Scholar 

  17. G. F. Glotov and O. M. Kolesnikov, “Approximate Calculation of the Two-Dimensional Interaction of a Transverse Jet with a Supersonic Flow in Combustion at the Front Separation Point,” Tr. Tsentr. Aerogidrodinam. Inst., No. 1736, 3–14 (1976).

    Google Scholar 

  18. F. W. Spaid and E. E. Zukoski, “A Study of the Interaction of Gaseous Jets from Transverse Slots with Supersonic External Flows,” AIAA J. 6 (2), 205–212 (1968).

    Article  ADS  Google Scholar 

  19. F. W. Spaid, “Two-Dimensional Jet Interaction Studies at Large Values of Reynolds and Mach Numbers,” AIAA J. 13 (11), 1430–1434 (1975).

    Article  ADS  Google Scholar 

  20. R. Dhinagaran and T. K. Bose, “Numerical Simulation of Two-Dimensional Transverse Gas Injection into Supersonic External Flows,” AIAA J. 36 (3), 486–488 (1998).

    Article  ADS  Google Scholar 

  21. A. T. Sriram and J. Mathew, “Improved Prediction of Plane Transverse Jets in Supersonic Crossflows,” AIAA J. 44 (2), 405–407 (2006).

    Article  ADS  Google Scholar 

  22. W. Huang, W. D. Liu, S. B. Li, et al., “Influences of the Turbulence Model and the SlotWidth on the Transverse Slot Injection Flow Field in a Supersonic Flows,” Acta Astronaut. 73, 1–9 (2012).

    Article  ADS  Google Scholar 

  23. G. Aswin, D. Chakraborty, “Numerical Simulation of Transverse Side Jet Interaction with Supersonic Free Stream,” Aerospace Sci. Technol. 14 (5), 295–301 (2010).

    Article  Google Scholar 

  24. B. Stahl, H. Esch, and A. Gülhan, “Experimental Investigation of Side Jet Interaction with a Supersonic Cross Flow,” Aerospace Sci. Technol. 12 (4), 269–275 (2008).

    Article  Google Scholar 

  25. C. F. Chenault, P. S. Beran, and R. D. W. Bowersox, “Numerical Investigation of Supersonic Injection Using a Reynolds-Stress Turbulence Model,” AIAA J. 37 (10), 1257–1269 (1999).

    Article  ADS  Google Scholar 

  26. S. Kawai and S. K. Lele, “Mechanisms of Jet Mixing in a Supersonic Crossflow: A Study Using Large-Eddy Simulation,” AIAA Paper No. 2008-4575 (Reston, 2008).

    Google Scholar 

  27. S. Kawai and S. K. Lele, “Large-Eddy Simulation of Jet Mixing in Supersonic Crossflows,” AIAA J. 48 (9), 2063–2083 (2010).

    Article  ADS  Google Scholar 

  28. S. H. Won, I. S. Jeung, B. Parent, and J. Y. Choi, “Numerical Investigation of Transverse Hydrogen Jet into Supersonic Crossflow Using Detached-Eddy Simulation,” AIAA J. 48 (6), 1047–1058 (2010).

    Article  ADS  Google Scholar 

  29. D. Peterson and G. Candler, “Simulations of Mixing for Normal and Low-Angled Injection into a Supersonic Crossflow,” AIAA J. 49 (12), 2792–2804 (2011).

    Article  ADS  Google Scholar 

  30. Z. A. Rana, B. Thornber, and D. Drikakis, “Transverse Jet Injection into a Supersonic Turbulent Cross-Flow,” Phys. Fluids 23 (4), 046103 (2011).

    Article  ADS  Google Scholar 

  31. W. Huang, Z.-G. Wang, J.-P. Wu, and S.-B. Li, “Numerical Prediction on the Interaction between the Incident Shock Wave and the Transverse Slot Injection into a Supersonic Flows,” Aerospace Sci. Technol. 28 (1), 91–99 (2013).

    Article  Google Scholar 

  32. T. Mai, Y. Sakimitsu, H. Nakamura, et al., “Effect of the Incident Shock Wave Interacting with Transversal Jet Flow on the Mixing and Combustion,” Proc. Combust. Inst. 33 (2), 2335–2342 (2011).

    Article  Google Scholar 

  33. N. N. Fedorova, I. A. Fedorchenko, and A. V. Fedorov, “Mathematical Modeling of Jet Interaction with a High-Enthalpy Flow in an Expanding Channel,” Prikl. Mekh. Tekh. Fiz. 54 (2), 32–45 (2013) [J. Appl. Mech. Tech. Phys. 54 (2), 195–206 (2013).

    Google Scholar 

  34. A. Jameson, S. Yoon, “Lower-Upper Implicit Schemes with Multiple Grids for the Euler Equations,” AIAA J. 25, 929–935 (1987).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. N. Volkov.

Additional information

Original Russian Text © K.N. Volkov, V.N. Emelyanov, M.S. Yakovchuk.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 56, No. 5, pp. 64–75, September–October, 2015.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Volkov, K.N., Emelyanov, V.N. & Yakovchuk, M.S. Numerical simulation of the interaction of a transverse jet with a supersonic flow using different turbulence models. J Appl Mech Tech Phy 56, 789–798 (2015). https://doi.org/10.1134/S0021894415050053

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894415050053

Keywords

Navigation