International Journal of Mechanical Engineering and Applications

| Peer-Reviewed |

Numerical Simulations of Self-Oscillatory Flows near Blunted Bodies, Giving off Opposite Jets

Received: 12 December 2013    Accepted:     Published: 30 January 2014
Views:       Downloads:

Share This Article

Abstract

New self-oscillatory compressible flows are found and investigated. Self-oscillations are supposed to be produced as a result of resonance interactions of flow “active” elements, namely, elements, amplifying disturbances. Hypothesis is used that contact discontinuities and intersection points of shocks with shocks or shocks with contact discontinuities compose the flow set of “active” elements. Two-dimensional Reynolds-averaged Navier-Stocks equations added by an algebraic turbulence model are solved by an implicit third order Runge-Kutta scheme. Well studied open cavity flow and jet impinging on a plane are calculated to verify the numerical method and the turbulence model. Compressible flows near blunted bodies, giving off supersonic opposite jets from forehead surfaces, are discovered to have self-oscillatory regimes.

DOI 10.11648/j.ijmea.20140201.12
Published in International Journal of Mechanical Engineering and Applications (Volume 2, Issue 1, February 2014)
Page(s) 5-10
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Self-Oscillatory Flows, Reynolds-Averaged Navier-Stocks Equations, High Resolution Methods, Runge-Kutta Schemes

References
[1] Raman G., Envia E., Bencic T.J., Jet Cavity Interaction Tones, American Institute of Aeronautics and Astronautics J., Vol. 40 (8), 2002, 1503–1511.
[2] Sarpotdar S., Raman G., Cain A.B., Powered Resonance Tubes: Resonance Characteristics and Actuation Signal Directivity, Experiments in Fluids Vol. 39 (6), 2005, 1084–1095.
[3] Raman G., Khanafseh S., Cain A.B., Kerschen E., Development of High Band Width Powered Resonance Tube Actuators with Feedback Control, J. of Sound and Vibration 269 (3–5), 2004, 1031–1062.
[4] Murugappan S., Gutmark E., Parametric Study of the Hartmann–Sprenger Tube, Experiments in Fluids, Vol. 38 (6), 2005, 813–823.
[5] Kastner J., Samimy M., Development and Characterization of Hartmann Tube Fluid Actuators for High-speed Control, American Institute of Aeronautics and Astronautics J., Vol. 40 (10), 2002, 1926–1934.
[6] Henderson B., Bridges J. Wernet, M. An Experimental Study of the Oscillatory Flow Structure of Tone-Producing Supersonic Impinging Jets, J. Fluid Mech., Vol. 542, 2005, 115–137.
[7] Kuo C.-Y., Dowling A. P. Oscillations of a Moderately Underexpanded Choked Jet Impinging Upon a Flat Plate, J. Fluid Mech., Vol. 315, 1996, 267–291.
[8] Berland J., Bogey C., Bailly C. Numerical Study of Screech Generation in a Planar Supersonic Jet, Phys. Fluids, Vol. 19, 2007, 75-105.
[9] Sakakibara Y., Iwamoto J. Numerical Study of Oscillation Mechanism in Underexpanded Jet Impinging on Plate, J. Fluids Eng. , Vol. 120, 1998, 477.
[10] Bodony D. J., Lele S. K. On Using Large-Eddy Simulation for the Prediction of Noise from Cold and Heated Turbulent Jets, Phys. Fluids , Vol. 17, 2005.
[11] Bogey C., Bailly C. Computation of a High Reynolds Number Jet and its Radiated Noise Using Large Eddy Simulation Based on Explicit Filtering, Comput. Fluids, Vol. 35, 2006, 1344-1358.
[12] Cheng T., Lee K. Numerical Simulations of Underexpanded Supersonic Jet and Free Shear Layer Using WENO Schemes, Int. J. Heat Fluid Flow, Vol. 26(5), 2005, 755–770.
[13] Pinchukov V. I., Numerical Modeling of Non-Stationary Flows with Transient Regimes, Comput. Mathem. and Mathem.Phisics, Vol. 49 (10), 2009, 1844–1852.
[14] Pinchukov V. I., Modeling of Self-Oscillations and a Search for New Self-Oscillatory Flows, Mathematical Models and Computer Simulations, Vol. 4(2), 2012, 170–178.
[15] Pinchukov V. I., Self-oscillatory Interactions of Streams, Containing Jets of the Same Direction, with Blunted Bodies Am. J. of Fluid Dynamics, Vol. 3(3), 2013, 80-86.
[16] Pinchukov V. I Modeling of Unsteady Flow near Blunted Cones for Large Time Intervals. Vych. Tekhnol., Vol. 18(1), 2013, 74-86.
[17] Pinchukov V. I., Numerical Solution of the Equations of Viscous Gas by an Implicit Third Order RungeKutta Scheme, Comput. Mathem. and Mathem. Phisics, Vol. 42(6), 2002, 898-907.
[18] Tam C.-J., Orkwis P.D., Disimile P.J. Algebraic Turbulence Model Simulations of Supersonic Open-Cavity Flow Physics, AIAA J., Vol. 34(11), 1996, 2255-2260.
[19] Tam C.-J., Orkwis P.D., Disimile P.J. Comparison of Baldwin-Lomax Turbulence Models for Two-Dimensional Open-Cavity Calculations, AIAA J., Vol. 34(3), Technical Notes , 1996, 629- 632.
[20] Adrianov A. L., Bezrukov A. A., Gaponenko Yu. A., Numerical Study of Interaction of a Supersonic Gas Jet with a Flat Obstacle. Prikl. Mekh. Tekh. Fiz., 41(4), 2000, 106-111.
[21] Gorshkov G. F., Uskov V. N.,. Specialities of Self- Oscillations, Arising from Interaction of Supersonic Underexpanded Jet with Finite Obstacle, Prikl. Mekh. Tekh. Fiz., 40(4), 1999, 143-149.
Author Information
  • Siberian division of Russian Academy of Sc., In-te of Computational Technologies, Novosibirsk, 630090, Russia

Cite This Article
  • APA Style

    Bladimir Ivanovich Pinchukov. (2014). Numerical Simulations of Self-Oscillatory Flows near Blunted Bodies, Giving off Opposite Jets. International Journal of Mechanical Engineering and Applications, 2(1), 5-10. https://doi.org/10.11648/j.ijmea.20140201.12

    Copy | Download

    ACS Style

    Bladimir Ivanovich Pinchukov. Numerical Simulations of Self-Oscillatory Flows near Blunted Bodies, Giving off Opposite Jets. Int. J. Mech. Eng. Appl. 2014, 2(1), 5-10. doi: 10.11648/j.ijmea.20140201.12

    Copy | Download

    AMA Style

    Bladimir Ivanovich Pinchukov. Numerical Simulations of Self-Oscillatory Flows near Blunted Bodies, Giving off Opposite Jets. Int J Mech Eng Appl. 2014;2(1):5-10. doi: 10.11648/j.ijmea.20140201.12

    Copy | Download

  • @article{10.11648/j.ijmea.20140201.12,
      author = {Bladimir Ivanovich Pinchukov},
      title = {Numerical Simulations of Self-Oscillatory Flows near Blunted Bodies, Giving off Opposite Jets},
      journal = {International Journal of Mechanical Engineering and Applications},
      volume = {2},
      number = {1},
      pages = {5-10},
      doi = {10.11648/j.ijmea.20140201.12},
      url = {https://doi.org/10.11648/j.ijmea.20140201.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijmea.20140201.12},
      abstract = {New self-oscillatory compressible flows are found and investigated. Self-oscillations are supposed to be produced as a result of resonance interactions of flow “active” elements, namely, elements, amplifying disturbances. Hypothesis is used that contact discontinuities and intersection points of shocks with shocks or shocks with contact discontinuities compose the flow set of “active” elements. Two-dimensional Reynolds-averaged Navier-Stocks equations added by an algebraic turbulence model are solved by an implicit third order Runge-Kutta scheme. Well studied open cavity flow and jet impinging on a plane are calculated to verify the numerical method and the turbulence model. Compressible flows near blunted bodies, giving off supersonic opposite jets from forehead surfaces, are discovered to have self-oscillatory regimes.},
     year = {2014}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Numerical Simulations of Self-Oscillatory Flows near Blunted Bodies, Giving off Opposite Jets
    AU  - Bladimir Ivanovich Pinchukov
    Y1  - 2014/01/30
    PY  - 2014
    N1  - https://doi.org/10.11648/j.ijmea.20140201.12
    DO  - 10.11648/j.ijmea.20140201.12
    T2  - International Journal of Mechanical Engineering and Applications
    JF  - International Journal of Mechanical Engineering and Applications
    JO  - International Journal of Mechanical Engineering and Applications
    SP  - 5
    EP  - 10
    PB  - Science Publishing Group
    SN  - 2330-0248
    UR  - https://doi.org/10.11648/j.ijmea.20140201.12
    AB  - New self-oscillatory compressible flows are found and investigated. Self-oscillations are supposed to be produced as a result of resonance interactions of flow “active” elements, namely, elements, amplifying disturbances. Hypothesis is used that contact discontinuities and intersection points of shocks with shocks or shocks with contact discontinuities compose the flow set of “active” elements. Two-dimensional Reynolds-averaged Navier-Stocks equations added by an algebraic turbulence model are solved by an implicit third order Runge-Kutta scheme. Well studied open cavity flow and jet impinging on a plane are calculated to verify the numerical method and the turbulence model. Compressible flows near blunted bodies, giving off supersonic opposite jets from forehead surfaces, are discovered to have self-oscillatory regimes.
    VL  - 2
    IS  - 1
    ER  - 

    Copy | Download

  • Sections