Skip to main content
SpringerLink
Log in

Effect of propellant morphology on acoustics in a planar rocket motor

  • Original Article
  • Published:
Theoretical and Computational Fluid Dynamics Aims and scope Submit manuscript

Abstract

This paper reports the results of numerical simulations of the acoustics in a two-dimensional (plane) motor using a high-order accurate, low-dissipation numerical solver. For verification we compare solutions to Culick’s (AIAA J 4(8):1462–1464, 1966) asymptotic solution for constant injection, and to recent results of Hegab and Kassoy (AIAA J 44(4):812–826, 2006) for a space- and time-dependent mass injection. We present results when the injection boundary condition is described by propellant morphology and by white noise. Morphology strongly affects the amplitude of the longitudinal acoustic modes, and in this connection white noise is not a suitable surrogate.

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. Culick, F.E.C.: Unsteady motions in combustion chambers for propulsion systems. RTO AGARDograph, AG-AVT-039 (2006)

  2. Flandro, G.A., Jacob, E.: Finite amplitude waves in liquid rocket combustion chambers. AIAA Paper 2008-1003. 46th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, January 7–10 (2008)

  3. Harlow F.H., Welch J.E.: Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8, 2182 (1965)

    Article  Google Scholar 

  4. Moronishi Y., Lund T.S., Vasilyev O.V., Moin P.: Fully conservative higher order finite difference schemes for incompressible flow. J. Comput. Phys. 143(1), 90–124 (1998)

    Article  MathSciNet  Google Scholar 

  5. Lele S.K.: Compact finite difference schemes with spectral-like resolution. Comput. Phys. 103(1), 16–42 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  6. Nagarajan S., Lele S.K., Ferziger J.H.: A robust high-order compact method for large eddy simulation. J. Comput. Phys. 191(2), 392–419 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  7. Poinsot T.J., Lele S.K.: Boundary conditions for direct simulations of compressible viscous flows. J. Comput. Phys. 101, 104–129 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  8. Topalian, V.: UIUC PhD thesis, in preparation (2008)

  9. Culick F.E.C.: Rotational axisymmetric mean flow and damping of acoustic waves in a solid propellant rocket. AIAA J. 4(8), 1462–1464 (1966)

    Article  MATH  Google Scholar 

  10. Hegab A.M., Kassoy D.R.: Internal flow temperature and vorticity dynamics due to transient mass addition. AIAA J. 44(4), 812–826 (2006)

    Article  Google Scholar 

  11. Zhao Q., Staab P.L., Kassoy D.R., Kirkkopru K.: Acoustically generated vorticity in an internal flow. J. Fluid Mech. 413, 247–285 (2000)

    Article  MATH  Google Scholar 

  12. Massa L., Jackson T.L., Buckmaster J., Najjar F.: Fluctuations above a burning heterogeneous propellant. J. Fluid Mech. 581, 1–32 (2007)

    Article  MATH  Google Scholar 

  13. Taylor G.I.: Fluid flow in regions bounded by porous surfaces. Proc. R. Soc. Lond. A 234, 456–475 (1956)

    Article  MATH  Google Scholar 

  14. Proudman I.: An example of steady laminar flow at large Reynolds number. J. Fluid Mech. 9, 593–602 (1960)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Center for Simulation of Advanced Rockets, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA

    Y. Daimon & T. L. Jackson

  2. Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA

    V. Topalian

  3. Mechanical Science and Engineering, Aerospace Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA

    J. B. Freund

  4. Buckmaster Research, Urbana, IL, 61801, USA

    J. Buckmaster

Authors
  1. Y. Daimon
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. L. Jackson
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. Topalian
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. J. B. Freund
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. J. Buckmaster
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to T. L. Jackson.

Additional information

Communicated by M.Y. Hussaini.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Daimon, Y., Jackson, T.L., Topalian, V. et al. Effect of propellant morphology on acoustics in a planar rocket motor. Theor. Comput. Fluid Dyn. 23, 63–77 (2009). https://doi.org/10.1007/s00162-008-0089-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00162-008-0089-y

Keywords

PACS

Search

Navigation