Mathematical modeling and characteristic analysis of scramjet buzz

Abstract

Buzz is an important issue for a scramjet engine. A mathematical model of buzz oscillations is necessary for control system design. Control-oriented models of hypersonic vehicle propulsion systems require a reduced-order model that is accurate to some extent but requires less than a few seconds of computational time. To achieve this goal, a reduced-order model of buzz oscillations for a scramjet engine is built by introducing the modeling idea of Moore–Greitzed model for compressors. The introduction of characteristic lines avoids the complex interactions in hypersonic inlet, such as shock–shock interactions and shock–boundary layer interaction. And the inlet characteristics are obtained from the pressure signal of combustor. Based on the established buzz model, we can predict the inlet performance, characterize the stability margin of inlet, reflect the oscillatory characteristics of inlet buzz including the dominant amplitude and frequency and describe the transition process of inlet buzz.

Keywords

Hypersonic inlet mathematical modeling inlet buzz mode transition

Get full access to this article

View all access options for this article.

References

Moore

Greitzer

. A theory of post-stall transients in an axial compressor systems, Part I: Development of equations. J Eng Gas Turbines Power 1986; 108: 68–76.

Oswaititsch K. ‘Pressure recovery in missiles with reaction propulsion at high supersonic speeds (The efficiency of shock diffuser). NACA TM-1140 (translation), 1947.

Yeom H-W, Kim S-J, Sung H-G, et al. Inlet buzz and combustion oscillation in an axisymmetric ramjet engine. AIAA paper 2010-756, 2010.

Shimura

Mitani

Sakuranaka

. Load oscillations caused by unstart of hypersonic wind tunnels and engines. J Propul Power 1998; 14(3): 348–353.

Tan

Sun

Yin

. Oscillatory flows of rectangular hypersonic inlet unstart. J Propul Power 2009; 25(1): 138–147.

Trapier

Duveau

Deck

. Experimental study of supersonic inlet buzz. AIAA J 2006; 4(10): 2354–2365.

Hirschen

Herrmann

Gűlhan

. Experimental investigations of the performance and unsteady behavior of a supersonic intake. J Propul Power 2007; 23(3): 566–574.

Lee

Kim

. Flow characteristics of small-sized supersonic inlets. J Propul Power 2011; 27(2): 306–318.

Newsome

. Numerical simulation of near-critical and unsteady, subcritical inlet flow. AIAA J 1984; 22(10): 1375–1379.

10.

P-J

Jain

L-T

. Numerical investigation of inlet buzz flow. J Propul Power 1998; 14(1): 90–100.

11.

Trapier

Deck

Duveau

. Delayed detached-eddy simulation and analysis of supersonic inlet buzz. AIAA J 2008; 46(1): 118–131.

12.

Curran ET and Murthy SNB. Scramjet propulsion. Progress in astronautics and aeronautics. Reston, Va: AIAA, 2001, pp. 462–466.

13.

Wagner

Valdivia

Clemens

. Experimental investigation of unstart in an inlet/isolator or model in Mach 5 flow. AIAA J 2009; 47(6): 1528–1542.

14.

Tan

Wen

. Experimental investigation of the unstart process of a generic hypersonic inlet. AIAA J 2011; 49(2): 279–288.

15.

Chang

Wang

Bao

. Novel oscillatory patterns of hypersonic inlet buzz. J Propul Power 2012; 28(6): 1214–1221.

16.

Derek

Matt

James

. Reduced-order modeling of two-dimensional supersonic flows with applications to scramjet inlets. J Propul Power 2010; 26(3): 545–555.

17.

Derek JD, Sean MT and James FD. Reduced-order modeling of reacting supersonic flows in scramjet nozzles. AIAA paper 2010-6958, 2010.

18.

Sean

James

Matthias

. Reduced-order modeling of turbulent reacting flows with application to ramjets and scramjets. J Propul Power 2011; 27(2): 371–382.

19.

Greitzer

. Surge and rotating stall in axial flow compressors—Part I: Theoretical compression system model. J Eng Power 1976; 98(2): 190–198.

20.

Gupta NK, Gupta BK, Ananthkrishnan N, et al. Integrated modeling and simulation of an airbreathing combustion system dynamics. In: AIAA modeling and simulation technologies conference and exhibit, Hilton Head, SC, AIAA paper 2007-6374, 2007.

21.

Park

Ananthkrishnan

Tahk

M-J

. Low-order model for buzz oscillations in the intake of a ramjet engine. J Propul Power 2011; 27(2): 503–506.