Skip to main content
SpringerLink
Log in

Turbulent flows in channels with injection. results of large eddy simulation and the two-equation turbulence model

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

Turbulent flows in channels with intense distributed injection are modeled using the large eddy method and the two-equation k-ɛ turbulence model. The calculations are carried out for different velocities of injection from the channel walls. For a channel with one-sided injection the results of large eddy simulation are in good agreement with the measured data, whereas the calculations in accordance with the k-ɛ model give a less convex cross-sectional velocity profile and an appreciable error in determining the surface friction coefficient on the impermeable wall and also have certain other shortcomings. In the case of two-sided injection, the results of the calculations by the large eddy method and the k-ɛ model are in good agreement with one another and the data of physical experiments.

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

Similar content being viewed by others

References

  1. V.N. Emel’yanov, “Physical and Computational Modeling of Three-Dimensional Flows in Power Plants,” in: Processes in Combustion Chambers and Burning and Gasdynamics of Disperse Systems [in Russian], Baltic State Technical Univ., St. Petersburg (1996), p. 124.

    Google Scholar 

  2. V.N. Emel’yanov, “Internal Flows with a Complicated Structure,” in: Processes in Combustion Chambers and Burning and Gasdynamics of Disperse Systems [in Russian], Baltic State Technical Univ., St. Petersburg (1996), p. 80.

    Google Scholar 

  3. B.Ya. Benderskii and V.A. Tenenev, “Experimental and Numerical Investigation of Flows in Complex-Shaped Axisymmetric Channels with Mass Injection,” Fluid Dynamics 36(2), 336 (2001).

    Article  MATH  Google Scholar 

  4. B.A. Raizberg, B.T. Erokhin, and K.P. Samsonov, Fundamentals of Theory of Working Processes in Solid-Fuel Rocket Systems [in Russian], Mashinostroenie, Moscow (1972).

    Google Scholar 

  5. V.M. Eroshenko and L.I. Zaichik, Fluid Dynamics and Heat Transfer on Permeable Surfaces [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  6. A.M. Lipanov (ed.), Numerical Experiment in Theory of Solid-Fuel Engines [in Russian], Yekaterinburg, Nauka (1994).

    Google Scholar 

  7. K.N. Volkov and V.N. Emel’yanov, “Mathematical Models of Three-Dimensional Turbulent Flows in Channels with Injection,” Mat. Model. 16, No. 10, 41 (2004).

    MATH  Google Scholar 

  8. A. Ciucci, G. Iaccarino, R. Moser, F. Najjar, and P. Durbin, “Simulation of Rocket Motor Internal Flows with Turbulent Mass Injection,” Center for Turbulence Research, Stanford Univ. (1998), p. 245.

  9. B. Chaouat, “Numerical Simulation of Channel Flows with Fluid Injection Using Reynolds Stress Model,” AIAA Paper, No. 0992 (2000).

  10. Y.M. Chung, H.J. Sung, and P.A. Krogstad, “Modulation of Near-Wall Turbulence Structure with Wall Blowing and Suction,” AIAA J., 40, 1529, (2002).

    Article  Google Scholar 

  11. A. Kourta, “Instability of Channel Flow with Fluid Injection and Parietal Vortex Shedding,” J. Computers Fluids, 33, No. 2, 155 (2004).

    Article  MATH  MathSciNet  Google Scholar 

  12. N.V. Nikitin and A.A. Pavel’ev, “Turbulent Flow in a Channel with Permeable Walls. Direct Numerical Simulation and Results of Three-Parameter Model,” Fluid Dynamics 33(6), 826 (1998).

    Article  MATH  Google Scholar 

  13. F. Vuillot and N. Lupoglazoff, “Combustion and Turbulent Flow Effects in 2D Unsteady Navier-Stokes Simulations of Oscillatory Solid Rocket Motors,” AIAA Paper, No. 0884, (1996).

  14. B.E. Launder and D.B. Spalding, “The Numerical Computation of Turbulent Flows,” Comput. Methods in Appl. Mech. Engng., 3, 269 (1974).

    Article  MATH  Google Scholar 

  15. M. Kato and B. E. Launder, “The Modelling of Turbulent Flow around Stationary and Vibrating Square Cylinders,” in: Proc. 9th Symp. Turbulent Shear Flows, Kyoto, Japan. 1993. Vol. 9 (1993), p. 10.4.1.

  16. M.A. Leschziner and W. Rodi, “Calculation of Annular and Twin Parallel Jets Using Various Discretization Schemes and Turbulent-Model Variations,” ASME J. Fluid Engng. 103, 353 (1981).

    Google Scholar 

  17. A.V. Eremishin and A.A. Isaev (eds.), Control of the Flow past Bodies with Vortex Cells as Applied to Integral-Layout Flight Vehicles (Numerical and Physical Modeling) [in Russian], Moscow Univ. Press, Moscow (2001).

    Google Scholar 

  18. A. Yakhot, S.A. Orszag, V. Yakhot, and M. Israeli, “Renormalization Group Formulation of Large-Eddy Simulation, J. Scient. Comput. 1, 3 (1986).

    Article  MATH  ADS  Google Scholar 

  19. J. Smagorinsky, “General Circulation Experiments with the Primitive Equations. 1. The Basic Experiment,” MonthlyWeather Rev. 91, No. 3, 99, (1963).

    ADS  Google Scholar 

  20. S. Shen, F. Ding, J. Han, Y.-L. Lin, S. P. Arya, and F. H. Proctor, “Numerical Modeling Studies ofWake Vortices: Real Case Simulation,” AIAA Paper No. 0755 (1999).

  21. K.N. Volkov, “Application of the Control Volume Method to the Solution of Fluid Dynamics Problems on Unstructured Grids,” Vych. Met. Progr. 6, 47 (2005).

    Google Scholar 

  22. S.R. Chakravarthy and S. Osher, “A New Class of High-Accuracy TVD Schemes for Hyperbolic Conservation Laws,” AIAA Paper No. 0363, (1985).

Download references

Authors
  1. K. N. Volkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. N. Emel’yanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © K.N. Volkov, V.N. Emel’yanov, 2008, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2008, Vol. 43, No. 4, pp. 82–93.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Volkov, K.N., Emel’yanov, V.N. Turbulent flows in channels with injection. results of large eddy simulation and the two-equation turbulence model. Fluid Dyn 43, 573–582 (2008). https://doi.org/10.1134/S0015462808040091

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462808040091

Keywords

Search

Navigation