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Damping of modal perturbations in solid rocket motors

Published online by Cambridge University Press:  27 June 2016

A.S. Iyer ,
V.K. Chakravarthy ,
S. Saha  and
D. Chakraborty
A.S. Iyer
Affiliation:
Imperial College, Department of Aeronautics, London, United Kingdom
V.K. Chakravarthy*
Affiliation:
Defence Research and Development Laboratory, Directorate of Computational Dynamics, Hyderabad, India
S. Saha
Affiliation:
Defence Research and Development Laboratory, Directorate of Computational Dynamics, Hyderabad, India
D. Chakraborty
Affiliation:
Defence Research and Development Laboratory, Directorate of Computational Dynamics, Hyderabad, India
*
[email protected]
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Abstract

Quasi-one-dimensional (quasi-1D) tools developed for capturing flow and acoustic dynamics in non-segmented solid rocket motors are evaluated using multi-dimensional computational fluid dynamic simulations and used to characterise damping of modal perturbations. For motors with high length-to-diameter ratios (of the order of 10), remarkably accurate estimates of frequencies and damping rates of lower modes can be obtained using the the quasi-1D approximation. Various grain configurations are considered to study the effect of internal geometry on damping rates. Analysis shows that lower cross-sectional area at the nozzle entry plane is found to increase damping rates of all the modes. The flow-turning loss for a mode increases if the more mass addition due to combustion is added at pressure nodes. For the fundamental mode, this loss is, therefore, maximum if burning area is maximum at the centre. The insights from this study in addition to recommendations made by Blomshield(1) based on combustion considerations would be very helpful in realizing rocket motors free from combustion instability.

Keywords

Solid rocket motor instabilityacoustic modes
Type
Research Article
Information
The Aeronautical Journal , Volume 120 , Issue 1231 , September 2016 , pp. 1425 - 1445
Copyright
Copyright © Royal Aeronautical Society 2016 

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References

REFERENCES

1. Blomshield, F.S. Lessons learned in solid rocket combustion instability, Missile Sciences Conference, 2006, Monterey, CA, US.Google Scholar
2. Blomshield, F., Mathes, H., Crump, J., Beiter, C. and Beckstead, M. Nonlinear stability testing of full-scale tactical motors, J Propulsion and Power, 1997, 13, (3), pp 356-366.Google Scholar
3. Brownlee, W. Nonlinear axial combustion instability in solid propellant motors, AIAA Journal, 1964, 2, (2), pp 275–284.Google Scholar
4. Fabingnon, Y., Dupays, J., Avalon, G., Vuillot, F., Lupoglazoff, N., Casalis, G. and Prvost, M. Instabilities and pressure oscillations in solid rocket motors, Aerospace Science and Technology, 2003, 7, (1), pp 191–200.Google Scholar
5. Koreki, T., Aoki, I., Shirota, K., Toda, Y. and Kuratani, K. Experimental study on oscillatory combustion in solid-propellant motors, J Spacecraft and Rockets, 1976, 13, (9), pp 534–539.Google Scholar
6. Golafshani, M., Farshchi, M. and Ghassemi, H. Effects of grain geometry on pulse-triggered combustion instability in rocket motors, J Propulsion and Power, 2002, 18, (1), pp 123–130.Google Scholar
7. Levine, J.N. and Baum, J.D. A numerical study of nonlinear instability phenomena in solid rocketmotors, AIAA J, 1983, 21, (4), pp 557–564.CrossRefGoogle Scholar
8. Hughes, P. and Saber, A. Nonlinear combustion instability in a solid propellant two-dimensional window motor, 14th Joint Propulsion Conference, 1978, Las Vegas, NV, US.Google Scholar
9. Culick, F.E.C. The stability of one-dimensional motions in a rocket motor, Combustion Science and Technology, 1973, 7, (4), pp 165–174.CrossRefGoogle Scholar
10. Loncaric, S., Greatrix, D.R. and Fawaz, Z. Star-grain rocket motor nonsteady internal ballistics, Aerospace Science and Technology, 2004, 8, (1), pp 47–55.Google Scholar
11. Baczynski, C. and Greatrix, D.R. Steepness of grain geometry transitions on instability symptom suppression in solid rocket motor, AIAA/ASME/SAE/ASEE 44th Joint Propulsion Conference, 2009, Hartford, CT, US.Google Scholar
12. Montesano, J., Behdinan, K., Greatrix, D.R. and Fawaz, Z. Internal chamber modeling of a solid rocket motor: Effects of coupled structural and acoustic oscillations on combustion, J Sound and Vibration, 2008, 311, pp 20–38.Google Scholar
13. Baczynski, C. and Greatrix, D.R. Steepness of grain geometry transitions on instability symptom suppression in solid rocket motor, AIAA/ASME/SAE/ASEE 45th Joint Propulsion Conference, 2009, Denver, Colorado, US.Google Scholar
14. Greatrix, D.R. Parametric evaluation of solid rocket combustion instability behavior, 45th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, 2009, Denver, CO, US.Google Scholar
15. Montesano, J., Greatrix, D., Behdinan, K. and Fawaz, Z. Prediction of unsteady non-linear combustion instability in solid rocket motors, Proceedings of the Institution of Mechanical Engineers, Part G: J Aerospace Engineering, 2009, 223, (7), pp 901–913.Google Scholar
16. Chakravarthy, V.K., Iyer, A.S. and Chakraborty, D. Quasi-one-dimensional modeling of internal ballistics and axial acoustic oscillations in solid rocket motors, J Propulsion and Power. Available at http://dx.doi.org/10.2514/1.B35754, April 15, 2016.Google Scholar
17. Matta, L. and Zinn, B. Investigation of Flow Turning Loss in a Simulated Unstable Solid Propellant Rocket Motor, 1993, American Institute of Aeronautics and Astronautics, 31st Aerospace Sciences Meeting, 1993, Reno, NV, US.Google Scholar
18. García-Schäfer, J. and Linan, A. Longitudinal acoustic instabilities in slender solid propellant rockets: Linear analysis, J Fluid Mechanics, 2001, 437, pp 229–254.CrossRefGoogle Scholar
19. Flandro, G.A., Fischbach, S.R. and Majdalani, J. Nonlinear rocket motor stability prediction: Limit amplitude, triggering, and mean pressure shift, Physics of Fluids (1994-present), 2007, 19, (9), pp 094–101.Google Scholar
20. Javed, A. and Chakraborty, D. Damping coefficient prediction of solid rocket motor nozzle using computational fluid dynamics, J Propulsion and Power, 2013, 30, (1), pp 19–23.Google Scholar
21. Chakravarthy, V.K. and Chakraborty, D. Modified SLAU2 scheme with enhanced shock stability, Computers and Fluids, 2014, 100, pp 176–184.Google Scholar
22. Vuillot, F. and Casalis, G. Motor flow instabilities part 1, Internal Aerodynamics in Solid Rocket Propulsion, January 2004, RTO-EN-023, pp 151-165.Google Scholar
23. Glick, R., Micci, M. and Caveny, L. Transition to nonlinear instability in solid propellant rocket motors, American Institute of Aeronautics and Astronautics, Joint Propulsion Conferences, 1981.Google Scholar
24. Culick, F.E.C. Unsteady motions in combustion chambers for propulsion systems, NATO AGARD report AG-AVT-039, 2006, Neuilly-sur-Seine, Cedex France.Google Scholar
25. ANSYS Fluent User’s Guide , 2011, Fluent Inc., Lebanon, New Hampshire, US.Google Scholar
26. Javed, A., Sundaram, I.A. and Chakraborty, D. Internal ballistic code for solid rocket motors using minimum distance function for grain burnback, Defence Science J, 2015, 65, pp 181–188.Google Scholar
27. French, J.C. Nozzle acoustic dynamics and stability modeling, J Propulsion and Power, 2011, 27, (6), pp 1266–1275.Google Scholar
28. French, J. and Coats, D. Automated 3-D solid rocket combustion stability analysis, in 35th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, 1999, Los Angeles, CA, US.Google Scholar
29. Sigman, R. and Zinn, B. A finite element approach for predicting nozzle admittances, J Sound and Vibration, 1988, 88, (1), pp 117–131.Google Scholar
30. Shima, E. and Kitamura, K. Parameter-free simple low-dissipation AUSM-family scheme for all speeds, AIAA J, 2011, 49, (8), pp 1693–1709.Google Scholar
31. Smith, R., Ellis, M., Xia, G., Sankaran, V., Anderson, W. and Merkle, C.L. Computational investigation of acoustics and instabilities in a longitudinal-mode rocket combustor, AIAA J, 2008, 46, (11), pp 2659–2673.Google Scholar
32. Zinn, B. Review of nozzle damping in solid rocket instabilities, American Institute of Aeronautics and Astronautics, 8th Joint Propulsion Conference, 1972, New Orleans, LA.Google Scholar
33. Blomshield, F., Crump, J., Mathes, H., Stalnaker, R. and Beckstead, M. Stability testing of full-scale tactical motors, J Propulsion and Power, 1997, 13, (3), pp 349–355.Google Scholar