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Simulation of a turbulent supersonic underexpanded jet flowing into a submerged space with the help of a shear stress transfer model

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Journal of Engineering Physics and Thermophysics Aims and scope

We have calculated the flow of an axisymmetric turbulent supersonic underexpanded jet into a submerged space with the help of the VP2/3 package as part of the generalized pressure correction procedure. The shear stress transfer model modified with account for the curvature of streamlines has been verified on the basis of comparison with V. I. Zapryagaev’s data obtained at the S. A. Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences. The influence of the generated vortex viscosity on the shock-wave structure of the jet, the field of flow parameters, and the turbulence characteristics has been analyzed.

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References

  1. I. P. Ginzburg, Aerogasdynamics [in Russian], Vysshaya Shkola, Moscow (1966).

    Google Scholar 

  2. S. K. Godunov, A. V. Zabrodin, M. Ya. Ivanov, et al., Numerical Solution of Multidimensional Problems of Gas Dynamics [in Russian], Nauka, Moscow (1976).

  3. I. A. Belov, Interaction of Nonuniform Flows with Obstacles [in Russian], Mashinostroenie, Leningrad (1983).

    Google Scholar 

  4. S. A. Isaev and A. Yu. Mitin, Numerical investigation of the interaction of a supersonic jet with a blunt body in a cocurrent flow, in: Inter-University Volume of Scientific Papers "Special Problems of the Aerodynamics of Flying Vehicles," No. 145, LIAP, Leningrad (1980), pp. 158–162.

  5. I. A. Belov, S. A. Isaev, A. Yu. Mitin, V. V. Tsymbalov, Simulation of separated flows in the shock layer of obstacles in the presence of a nonuniform flow around them, in: Supersonic Gas Jets [in Russian], Nauka, Novosibirsk (1983), pp. 172–178.

  6. A. V. Ermishin and S. A. Isaev (Eds.), Control of the Flow Past Bodies with Vortex Cells as Applied to Spacecraft of Integral Configuration (Numerical and Physical Simulation) [in Russian], MGU, Moscow (2003).

  7. Yu. A. Bystrov, S. A. Isaev, N. A. Kudryavtsev, and A. I. Leontiev, Numerical Simulation of Vortical Intensification of Heat Transfer in Tube Banks [in Russian], Sudostroenie, St. Petersburg (2005).

  8. P. A. Baranov, S. A. Isaev, A. I. Leontiev, and A. E. Usachov, Numerical simulation of the reduction of aerodynamic heating of a relief with spherical and cellular dimples at super- and hypersonic velocities, in: Proc. 4th Rus. Nat. Heat Transfer Conf., Vol. 6, Disperse Flows and Porous Media. Intensification of Heat Transfer, Izd. Dom MÉI, Moscow (2006), pp. 158–161.

  9. A. I. Leontiev, S. A. Isaev, and G. S. Sadovnikov, Numerical simulation of the decrease in heat loads in superand hypersonic flow past a flat wall with ditches and dimples, Temp. Prots. Tekh., No. 9, 362–366 (2009).

  10. I. É. Ivanov and I. A. Kryukov, Numerical simulation of separated turbulent flows in nozzles and jets, in: Proc. 17th School-Seminar of Young Scientists and Specialists headed by A. I. Leontiev [in Russian], Vol. 1, Izd. Dom MÉI, Moscow (2009), pp. 94–100.

  11. S. A. Isaev, A. G. Sudakov, P. A. Baranov, et al., Development, verification, and application of VP2/3 opentype disparalleled package based on multiblock computational technologies for solving fundamental, applied, and operational problems of aeromechanics and thermal physics, in: Bulletin of the South Ural State University, SeriesMathematical Simulation and Programming,” Issue 3, No. 17 (100), 59–72 (2009).

  12. J. H. Ferziger and M. Peric, Computational Methods for Fluid Dynamics, Heidelberg, Berlin (1999).

    Book  MATH  Google Scholar 

  13. K. C. Karki and S. V. Patankar, Pressure-based calculation procedure for viscous flows at all speed in arbitrary configuration, AIAA J., 27, 1167–1174 (1989).

    Article  Google Scholar 

  14. Y. G. Lai, R. M. So, and A. J. Przekwas, Turbulent transonic flow simulation using a pressure-based method, Int. J. Eng. Sci., 33, No. 4, 469–483 (1995).

    Article  MATH  Google Scholar 

  15. K. Kitamura and E. Shima, Improvements of SIMPLE low-dissipation AUSM against shock instabilities consideration of interfacial speed of sound, in: J. C. F. Pereira and A. Sequeira (Eds.), Proc. V European Conf. on Computational Fluid Dynamics ECCOMAS CFD 2010, 14–17 June 2010, Lisbon, Portugal (2010).

  16. B. Van Leer, Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method, J. Comput. Phys., 32, 101–136 (1979).

    Article  Google Scholar 

  17. G. D. Van Albada, B. Van Leer, and W. W. Roberts, A comparative study of computational methods in cosmic gas dynamics, Astron. Astrophys., 108, 76–84 (1982).

    MATH  Google Scholar 

  18. S. A. Isaev, Yu. M. Lipnitskii, A. N. Mikhalev, et al., Simulation of the supersonic turbulent flow around a cylinder with coaxial disks, Inzh.-Fiz. Zh., 84, No. 4, 764–776 (2011).

    Google Scholar 

  19. V. I. Zapryagaev, I. N. Kavun, and N. P. Kiselev, Flow structure in the initial segment of a supersonic jet flowing out of a stripped nozzle, Prikl. Mekh. Tekh. Fiz., 51, No. 2, 71–80 (2010).

    Google Scholar 

  20. I. P. Ginzburg, B. N. Sobkolov, and G. A. Akimov, On the determination of the main parameters of the flow in a supersonic jet of a perfect gas, in: Gas Dynamics and Heat Transfer, Issue 2, Uchen. Zap. Leningrad. Univ., 38–55 (1970).

  21. S. V. Guvernyuk, O. O. Egorychev, S. A. Isaev, et al., Numerical and physical simulation of the wind effect on a group of high-rise buildings, Nauch.-Tekh. Zh. Vestn. MGSU, 1, No. 3, 185–191 (2011).

    Google Scholar 

  22. K. Lewis and D. Carlson, Position of the normal compression shock in an underexpanded gas and two-phase jet, Raketn. Tekh. Kosmonavt., 2, No. 4, 239–241 (1964).

    Google Scholar 

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Correspondence to S. A. Isaev.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 85, No. 6, pp. 1253–1267, November–December, 2012.

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Isaev, S.A., Lipnitskii, Y.M., Baranov, P.A. et al. Simulation of a turbulent supersonic underexpanded jet flowing into a submerged space with the help of a shear stress transfer model. J Eng Phys Thermophy 85, 1357–1371 (2012). https://doi.org/10.1007/s10891-012-0783-x

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