Acoustic Resonance of Simulated Solid Rocket Motor Chamber with Transient Sidewall Mass Additions

  IJETT-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
© 2015 by IJETT Journal
Volume-27 Number-1
Year of Publication : 2015
Authors : A. M., Hegab, S. A. Gutub


A. M., Hegab, S. A. Gutub"Acoustic Resonance of Simulated Solid Rocket Motor Chamber with Transient Sidewall Mass Additions", International Journal of Engineering Trends and Technology (IJETT), V27(1),51-59 September 2015. ISSN:2231-5381. published by seventh sense research group

An asymptotic technique is integrated with computational solution development to describe the generation and evolution of intense unsteady vorticity and the accompanying temperature response in a model of solid rocket motor (SRM) chamber with low Mach number, weakly viscous internal flow. The chamber considered here has a rectangular cross section, has to equally permeable walls, closed at the head end, and is opened at the downstream end. An initially steady internal flow from steady sidewall injection is generated. Then an additional transient sidewall mass injection with different wave numbers at resonance frequency is initiated. The unsteady mass injection is used to simulate the transient propellant combustion occurring on the sidewall in a real SRM chamber. The current study accounts a wide range of high wave numbers wall injection at resonance and near-resonance frequencies. The analytical approach is based on the reduced form of the Navier-Stokes using asymptotic technique. The results show that unexpectedly large transient shear stresses and temperature gradients are created at the sidewall of the chamber at resonance frequencies and low wave numbers. A comparison between the analytical, computational and experimental results is performed.


[1] Hegab A., Buckmaster J., Jackson T., and Stewart, S. “The Burning of Periodic Sandwich Propellants” AIAA Paper #2000-3459, 36th. AIAA/ASME/SAE/ASEE Joint Propulsion, July 17-19, 2000, Huntsville, Al., USA
[2] Hegab A., Jackson T., Buckmaster J., Stewart D., (2001) “Nonsteady Burning of Periodic Sandwich Propellants with Complete Coupling between the Solid and Gas Phases”, Journal of Combustion and Flame, 125, 1055-1070, 2001.
[3] Buckmaster J., Jackson T., Hegab A., Kochevets S., Ulrich M. (2001) “Randomly Packed Heterogeneous Propellants and the Flame They Support” AIAA paper 2001-0337, 39th. Aerospace Science Meeting, Reno, NV, USA.
[4] Kochevets S., Buckmaster J., Jackson T., Hegab A. (2001) “Random Propellant Packs and the Flame they Support” Journal of Propulsion and Power, Vol. 17(4), pp 883-891.
[5] Hegab, A.M. (2003), “ Numerical Flow Temperature Dynamics in Channel with Time-Dependent Mass Injection” Sci. Bull. Faculty of engineering, Ain Shams University, ISSN 1110-1385, pp 743-764.
[6] Hegab, A.M. and Kassoy, D.R. (2006), "Internal Flow Temperature and Vorticity Dynamics in Channel with Transient Mass Addition" AIAA Journal, Vol.44, No.4, April 2006, pp 812-826.
[7] Kirkkopru, K., Kassoy, D.R., and Zhao, Q. (1996), “ Unsteady Vorticity Generation and Evaluation in a Model of Solid Rocket Motor,” J. of Propulsion and Power, 12, No. 4, 646-654.
[8] Kirkkopru, K., Kassoy, D.R., Zhao, Q., and Staab, P. (2000), “ Acoustically generated unsteady vorticity field in along narrow cylinder with sidewall injection,” submitted to J. Eng. Math.
[9] Staab, P.L., Zhao, Q., Kassoy, D.R., Kirkkopru, (1999), “Coexisting Acosutic- Rotational Flow in a Cylinder with Axisymmetric Sidewall Mass Addition”, Physics of Fluids, 11, 10, 2935-2951.
[10] Rempe M., Staab, P.L., and Kassoy, D.R. (2000), “Thermal Response for an Internal Flow in a Cylinder with Time- Dependent Sidewall mass Addition”, AIAA 2000-0996, 38th Aerospace Science Meeting, Reno, NV.
[11] Zhao, Q., and Kassoy, D.R. (1994), "The generation and Evolution of Unsteady Vorticity in a Solid Rocket Engine Chamber," AIAA Paper 94-0779, 32th Aerospace Sciences Meeting, Reno, NV.
[12] Zhao, Q., Staab, P.L., Kassoy, D.R., and Kirkkopru, K. (2000), "Acoustically Generated Vorticity in an Internal Flow," J. Fluid Mech., #13, 247-285.
[13] Flandro, (1995), “ Effect of Vorticity on Rocket Combustion Stability” Journal of Propulsion and Power, Vol. 11, 607-625.
[14] Majdalani and Van Moorhen (1997), “Multiple-Scale Solution to the Acoustic Boundary Layer in Solid Rocket Motors”, Journal of Propulsion and Power, Vol. 13, 186-193.
[15] Majdalani and W. Van Moorhen (1998), “Improved Time- Dependent Flow Field Solution for Solid Rocket Motors”, AIAA Journal, 36, 241-248.
[16] Vuillot, F., and Avalon, G. (1991), " Acoustic Boundary Layers in Solid propellant Rocket Motors Using Navier-Stokes Equations," J. Propulsion and Power, 7, No.1 231-239.
[17] Smith, T.M., Roach, R.L., and Flandro, G.A. (1993), "Numerical Study of the Unsteady Flow in a Simulated Solid Rocket Motor," AIAA Paper, 93-0112, 31th Aerospace Science Meeting, Reno, NV.
[18] Tseng, C.F., and Tseng. I.S.,(1994), "Interaction Between Acoustic Waves and Premixed Flames in Porous Chamber," AIAA 94-3328, 32th Aerospace Science Meeting, Reno, NV.
[19] Roh, T.S., and Yang, V. (1995), "Transient Combustion Responses of Solid Propellants to Acoustic Disturbances in Rocket Motors," AIAA Paper, 95-0602, 33th Aerospace Science Meeting, Reno, NV.
[20] Hegab, A.M. (1998) “A Study of Acoustic Phenomena in Solid Rocket Engines”, Ph.D. Thesis, Mech. Power Engineering Dept., Menoufia Univ., Egypt, (Carried out at the University of Colorado at Boulder).
[21] MacCormack, R.W. (1982), “ A Numerical Method for Solving the Equations of Compressible Viscous Flow,” AIAA J., 20, No. 9, 1275-1281.
[22] Gottlieb, D., and Turkel, E. (1976) “Dissipative Two-Four Methods for Time-Dependent problems,” Mathematics of Computation, 30, No. 136, 703-723.
[23] Poinsot, T.J., and Lele, S.K. (1992), "Boundary Conditions for Direct Simulations of Compressible Viscous Flows," J. of Computational Physics, 101, 104-129.
[24] Deng, Z., Adrian, R.J., Tomkinsm C.D. (2001), "Structure of Turbulence in Channel Flow with a Fully Transpired Wall", AIAA Paper 2001-1019, 39th Aerospace Science Meeting ,Reno, NV.
[25] Deng, Z., Adrian, R.J., Tomkinsm C.D. (2002) "Sensitivity of Turbulence in Transpired Channel to Injection Velocity Small-Scale Nonuniformity", Journal of AIAA, Vol. 40, No. 11, November, 2002.
[26] Culick, F.E.C. (1966), “Rotational Axisymmetric Mean Flow and Damping of Acoustic Waves in a Solid Propellant Rocket,” AIAA J. 4, No. 8, 1462-1464.
[27] A.M. Hegab, Vorticity Generation and Acoustic Resonance of Simulated Solid Rocket Motor Chamber with High Wave Number Wall Injection, J. of Computers & Fluids, Vol. 38(2009) 1258-1269.
[28] Anoop Thankachen, Santosh kumar, (2015), “Design Optimization and Analysis of Rocket Structure for Aerospace Applications”, Volume-24 Number-6, International Journal of Engineering Trends and Technology (IJETT) Antenna,” in Proc. ICRCWIP, 16th- 17th Jan. 2015.

Solid Rocket Motor Chamber, Unsteady Vorticity, Transient Mass Injection, Internal Cavity.