Advanced search
Publication Cover
Combustion Science and Technology Volume 2, 1970 - Issue 4
Submit an article Journal homepage
180
Views
110
CrossRef citations to date
0
Altmetric
Original Articles

Stability of Longitudinal Oscillations with Pressure and Velocity Coupling in a Solid Propellant Rocket

F. E. C. CULICK California Institute of Technology, Pasadena, California, and Naval Weapons Center, China Lake, California
Pages 179-201 | Received 13 Jul 1970, Published online: 10 May 2007

Citations (110)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (9)

Koushik Balasubramanian & R. I. Sujith. (2008) Nonlinear Response of Diffusion Flames to Uniform Velocity Disturbances. Combustion Science and Technology 180:3, pages 418-436.
Read now
N. ANANTHKRISHNAN, SHARDUL DEO & FRED E. C. CULICK. (2005) REDUCED-ORDER MODELING AND DYNAMICS OF NONLINEAR ACOUSTIC WAVES IN A COMBUSTION CHAMBER. Combustion Science and Technology 177:2, pages 221-248.
Read now
U. HEGDE, H. D. ROSS & L.T. FACCA. (1993) Longitudinal Mode Instabilities of Particle Cloud Combustors in a Reduced Gravity Environment. Combustion Science and Technology 94:1-6, pages 279-294.
Read now
PAUL CLAVIN & DAVID LAZIMI. (1992) Theoretical Analysis of Oscillatory Burning of Homogeneous Solid Propellant Including Non-Steady Gas Phase Effects. Combustion Science and Technology 83:1-3, pages 1-32.
Read now
F. E. C. CULICK. (1975) Stability of Three-Dimensional Motions in a Combustion Chamber. Combustion Science and Technology 10:3-4, pages 109-124.
Read now
R. L. COATES & M. D. HORTON. (1974) Further Considerations on the Interaction of Sound and Flow in Rocket Motors and T-Burners. Combustion Science and Technology 9:3-4, pages 95-102.
Read now
F. E. C. CULICK. (1973) The Stability of One-Dimensional Motions in a Rocket Motor. Combustion Science and Technology 7:4, pages 165-175.
Read now
R. L. COATES. (1971) Comment on “Stability of Longitudinal Oscillations with Pressure and Velocity Coupling in a Solid Propellant Rocket”. Combustion Science and Technology 3:3, pages 153-154.
Read now
F. E. C. CULICK. (1971) Non-Linear Growth and Limiting Amplitude of Acoustic Oscillations in Combustion Chambers. Combustion Science and Technology 3:1, pages 1-16.
Read now

Articles from other publishers (101)

Karabo Modise & Gabriel Magalakwe. (2022) An internal flow and heat transfer inside a solid rocket motor combustion chamber; A Lie symmetry approach. Thermal Science and Engineering Progress 32, pages 101237.
Crossref
Guo Kangkang, Xu Boqi, Ren Yongjie, Tong Yiheng & Nie Wansheng. (2022) Three-Dimensional Numerical Analysis of Longitudinal Thermoacoustic Instability in a Single-Element Rocket Combustor. Frontiers in Energy Research 10.
Crossref
A. A. Kuroedov & P. A. Semenov. (2021) Investigation of Acoustic Instability in Solid-Propellant Rocket Motors with the Use of a Pulsed T-Burner. Combustion, Explosion, and Shock Waves 57:4, pages 433-443.
Crossref
Guanyu Xu, Peijin Liu, Wen Ao, Zhuopu Wang & Bingning Jin. (2021) Numerical investigation of thermoacoustic instability caused by small disturbance in a solid rocket motor. Aerospace Science and Technology 113, pages 106678.
Crossref
R. I. Sujith & Samadhan A. PawarR. I. Sujith & Samadhan A. Pawar. 2021. Thermoacoustic Instability. Thermoacoustic Instability 1 30 .
Guanyu Xu, Peijin Liu, Wen Ao & Bingning Jin. (2020) Interactions between turbulent flow and diffusion flame of composite propellant in a solid rocket motor with sidewall mass injection. Aerospace Science and Technology 102, pages 105872.
Crossref
Praveen Kasthuri, Induja Pavithran, Samadhan A. Pawar, R. I. Sujith, Rohan Gejji & William Anderson. (2019) Dynamical systems approach to study thermoacoustic transitions in a liquid rocket combustor. Chaos: An Interdisciplinary Journal of Nonlinear Science 29:10.
Crossref
Stany Gallier & Mathieu Plaud. (2019) Vorticoacoustic Stability of Solid Rocket Motors: A Numerical Study. Journal of Propulsion and Power 35:4, pages 787-801.
Crossref
Weizhe Hao, Liangliang Niu, Ruijun Gou & Chaoyang Zhang. (2019) Influence of Al and Al 2 O 3 Nanoparticles on the Thermal Decay of 1,3,5-Trinitro-1,3,5-triazinane (RDX): Reactive Molecular Dynamics Simulations . The Journal of Physical Chemistry C 123:22, pages 14067-14080.
Crossref
Sirshendu Mondal, Achintya Mukhopadhyay & Swarnendu Sen. 2018. Modeling and Simulation of Turbulent Combustion. Modeling and Simulation of Turbulent Combustion 543 567 .
Hichem Rezaiguia, Peijin Liu & Tianhao Yang. (2017) Flame response of solid propellant AP/Al/HTPB to a longitudinal acoustic wave. International Journal of Spray and Combustion Dynamics 9:4, pages 241-259.
Crossref
Hichem Rezaiguia & Pei-Jin Liu. (2016) Flame response of solid laminate propellant AP/HTPB to pressure perturbations. Flame response of solid laminate propellant AP/HTPB to pressure perturbations.
Waqas Ahmed, Muhammad Arif & Noorullah. (2012) Acoustic longitudinal mode linear combustion instabilities in 3D solid fuel grain. Acoustic longitudinal mode linear combustion instabilities in 3D solid fuel grain.
Dario Pastrone, Lorenzo Casalino, Matteo Rosa Sentinella & Carmine Carmicino. (2010) Acoustic Analysis of Hybrid Rocket Combustion Chambers. Journal of Propulsion and Power 26:3, pages 415-420.
Crossref
Giuseppe Lombardo. (2009) Controllable Solid Rocket Motor Nozzle Operations in Conditions of Limited-Amplitude Fluctuations. Controllable Solid Rocket Motor Nozzle Operations in Conditions of Limited-Amplitude Fluctuations.
Z. M. Ibrahim, F. A. Williams, S. G. Buckley & C. Z. Twardochleb. (2008) An Acoustic-Energy Method for Estimating the Onset of Acoustic Instabilities in Premixed Gas-Turbine Combustors. Journal of Engineering for Gas Turbines and Power 130:5.
Crossref
Giuseppe Lombardo. (2008) Controllable Solid Propellant Rocket Motor Stability: Deep and Rapid Variable Thrust Operations. Controllable Solid Propellant Rocket Motor Stability: Deep and Rapid Variable Thrust Operations.
Eric Jacob & Gary Flandro. (2008) Application of Current Stabilty Models to Thrust Augmentor Pressure Oscillations. Application of Current Stabilty Models to Thrust Augmentor Pressure Oscillations.
Gary A. Flandro, Sean R. Fischbach & Joseph Majdalani. (2007) Nonlinear rocket motor stability prediction: Limit amplitude, triggering, and mean pressure shift. Physics of Fluids 19:9.
Crossref
Fred Blomshield. (2007) Lessons Learned In Solid Rocket Combustion Instability. Lessons Learned In Solid Rocket Combustion Instability.
Sean R. Fischbach, Joseph Majdalani & Gary A. Flandro. (2007) Acoustic Instability of the Slab Rocket Motor. Journal of Propulsion and Power 23:1, pages 146-157.
Crossref
Joseph Majdalani, Sean R. Fischbach & Gary A. Flandro. (2006) Improved energy normalization function in rocket motor stability calculations. Aerospace Science and Technology 10:6, pages 495-500.
Crossref
Gary Flandro, Edward Perry & Jonathan French. (2006) Nonlinear Rocket Motor Stability Computations: Understanding the Brownlee-Marble Observations. Nonlinear Rocket Motor Stability Computations: Understanding the Brownlee-Marble Observations.
Sean Fischbach, Joseph Majdalani, Gary Flandro & Jonathan French. (2005) Verification and Validation of Rocket Stability Integral Transformations. Verification and Validation of Rocket Stability Integral Transformations.
J. Majdalani, G. A. Flandro & S. R. Fischbach. (2005) Some rotational corrections to the acoustic energy equation in injection-driven enclosures. Physics of Fluids 17:7.
Crossref
Gary Flandro, Jonathan FrenchJoseph Majdalani. (2004) Incorporation of Nonlinear Capabilities in the Standard Stability Prediction Program. Incorporation of Nonlinear Capabilities in the Standard Stability Prediction Program.
Gary Flandro, Joseph Sims & Joseph Majdalani. (2004) Nonlinear Longitudinal Mode Instability in Liquid Propellant Rocket Engine Preburners. Nonlinear Longitudinal Mode Instability in Liquid Propellant Rocket Engine Preburners.
Sean Fischbach, Gary Flandro & Joseph Majdalani. (2004) Acoustic Instability of the Slab Rocket Motor. Acoustic Instability of the Slab Rocket Motor.
Gary Flandro, Sean Fischbach, Joseph Majdalani & Jonathan French. (2004) Nonlinear Rocket Motor Stability Prediction: Limit Amplitude, Triggering, and Mean Pressure Shift. Nonlinear Rocket Motor Stability Prediction: Limit Amplitude, Triggering, and Mean Pressure Shift.
Sean Fischbach, Gary Flandro & Joseph Majdalani. (2004) Volume-to-Surface Transformations of Rocket Stability Integrals. Volume-to-Surface Transformations of Rocket Stability Integrals.
Gary Flandro, Joseph Sims & Joseph Majdalani. (2004) On Nonlinear Combustion Instability in Liquid Propellant Rocket Engines. On Nonlinear Combustion Instability in Liquid Propellant Rocket Engines.
Robert Brown, Charles Shaeffer & Anthony Blackner. (2004) Vorticity and Turbulence Effects on Combustion Stability of Solid Propellant Rocket Motors. Vorticity and Turbulence Effects on Combustion Stability of Solid Propellant Rocket Motors.
Alain Davenas. (2003) Development of Modern Solid Propellants. Journal of Propulsion and Power 19:6, pages 1108-1128.
Crossref
H. Chibli, J. Majdalani & G. Flandro. (2003) Improved Energy Normalization Function in Rocket Motor Stability Calculations. Improved Energy Normalization Function in Rocket Motor Stability Calculations.
Joseph Majdalani & Gary Flandro. (2003) Some Recent Developments in Rocket Core Dynamics. Some Recent Developments in Rocket Core Dynamics.
Alessandro Ciucci, Fabrizio d'Auria & Luca d'Agostino. (2003) Linear Analysis of Vortex-Shedding Induced Longitudinal Oscillations in Segmented Solid Rocket Motors. Linear Analysis of Vortex-Shedding Induced Longitudinal Oscillations in Segmented Solid Rocket Motors.
Alison Flatau & W. K. Van Moorhem. (2003) Vortex Shedding Induced Sound Inside a Cold-Flow Simulation of Segmented Chamber. Journal of Propulsion and Power 19:2, pages 287-296.
Crossref
Gary A. Flandro & Joseph Majdalani. (2003) Aeroacoustic Instability in Rockets. AIAA Journal 41:3, pages 485-497.
Crossref
Joseph Majdalani. (2003) Reply to Robert L. Glick's Comment: Physicality of Core Flow Models in Rocket Motors. Journal of Propulsion and Power 19:1, pages 156-159.
Crossref
Hicham Chibli, Joseph Majdalani & Gary Flandro. (2002) Fundamental Growth Rate Corrections in Rocket Motor Stability Calculations. Fundamental Growth Rate Corrections in Rocket Motor Stability Calculations.
Michael Shusser, Fred E. C. Culick & Norman S. Cohen. (2002) Combustion Response of Ammonium Perchlorate. AIAA Journal 40:4, pages 722-730.
Crossref
Hyun-Gull Yoon, John Peddieson & Kenneth R. Purdy. (2001) Non-linear response of a generalized Rijke tube. International Journal of Engineering Science 39:15, pages 1707-1723.
Crossref
G. Flandro & J. Majdalani. (2001) Aeroacoustic instability in rockets. Aeroacoustic instability in rockets.
J. Majdalani & T. S. Roh. (2001) Vorticity Dynamics in Isobarically Closed Porous Channels Part II: Space-Reductive Perturbations. Journal of Propulsion and Power 17:2, pages 363-370.
Crossref
Michael Shusser, Fred Culick & Norman Cohen. (2000) Combustion response of ammonium perchlorate. Combustion response of ammonium perchlorate.
F. Culick. (2000) Combustion instabilities - Mating dance of chemical, combustion, and combustor dynamics. Combustion instabilities - Mating dance of chemical, combustion, and combustor dynamics.
F. L. Eisinger. (1999) Eliminating Thermoacoustic Oscillations in Heat Exchanger and Steam Generator Systems. Journal of Pressure Vessel Technology 121:4, pages 444-452.
Crossref
Hyun-Gull Yoon, John PeddiesonJr.Jr. & Kenneth R. Purdy. (1998) Mathematical modeling of a generalized Rijke tube. International Journal of Engineering Science 36:11, pages 1235-1264.
Crossref
Robert Beddini. (1998) The role of turbulence interactions in solid propellant combustion instability. The role of turbulence interactions in solid propellant combustion instability.
J. French. (1998) Three dimensional combustion stability modeling for solid rocket motors. Three dimensional combustion stability modeling for solid rocket motors.
Sourabh Apte & Vigor Yang. (1998) Effects of acoustic oscillations on turbulent flowfield in a porous chamber with surface transpiration. Effects of acoustic oscillations on turbulent flowfield in a porous chamber with surface transpiration.
Tae-Seong Roh & E. Culick. (1998) Numerical analysis of transient combustion response to acoustic oscillations in axisymmetric rocket motors. Numerical analysis of transient combustion response to acoustic oscillations in axisymmetric rocket motors.
L. M. Matta, B. T. Zinn & J. I. Jagoda. (1997) Experimental Study of Acoustic Velocity Effects on Simulated Solid Fuel Pyrolysis. AIAA Journal 35:9, pages 1493-1498.
Crossref
Tae-Seong Roh, Fred Culick, Tae-Seong Roh & Fred Culick. (1997) Transient combustion responses of homogeneous propellants to acoustic oscillations in axisymmetric rocket motors. Transient combustion responses of homogeneous propellants to acoustic oscillations in axisymmetric rocket motors.
F. S. Blomshield, J. E. Crump, H. B. Mathes, Richard A. Stalnaker & M. W. Beckstead. (1997) Stability Testing of Full-Scale Tactical Motors. Journal of Propulsion and Power 13:3, pages 349-355.
Crossref
L. Matta & J. Jagoda. (1996) Experimental study of acoustic velocity effects on solid fuel pyrolysis. Experimental study of acoustic velocity effects on solid fuel pyrolysis.
Tae-Seong Roh & Vigor Yang. (1996) Numerical analysis of combustion instabilities of homogeneous propellants in axisymmetric rocket motors. Numerical analysis of combustion instabilities of homogeneous propellants in axisymmetric rocket motors.
S Flanagan, G Flandro & H Thomas. (1995) A new approach to velocity coupling (solid rocket propellant combustion). A new approach to velocity coupling (solid rocket propellant combustion).
G. A. Flandro. (1995) Effects of vorticity on rocket combustion stability. Journal of Propulsion and Power 11:4, pages 607-625.
Crossref
P. Harris. (1994) Experimental evaluation of one-dimensional design technology for linear combustion instability. Experimental evaluation of one-dimensional design technology for linear combustion instability.
Jae-Kun Yoon. (1994) Prediction of longitudinal combustion instability in a solid-propellant rocket motor. KSME Journal 8:2, pages 206-213.
Crossref
Q. Zhao & D. Kassoy. (1994) The generation and evolution of unsteady vorticity in a model of a solid rocket engine chamber. The generation and evolution of unsteady vorticity in a model of a solid rocket engine chamber.
T. SMITH, R. ROACH & G. FLANDRO. (1993) Numerical study of the unsteady flow in a simulated solid rocket motor. Numerical study of the unsteady flow in a simulated solid rocket motor.
R.L. Raun, M.W. Beckstead, J.C. Finlinson & K.P. Brooks. (1993) A review of Rijke tubes, Rijke burners and related devices. Progress in Energy and Combustion Science 19:4, pages 313-364.
Crossref
. 1992. Nonsteady Burning and Combustion Stability of Solid Propellants. Nonsteady Burning and Combustion Stability of Solid Propellants 719 779 .
. 1992. Nonsteady Burning and Combustion Stability of Solid Propellants. Nonsteady Burning and Combustion Stability of Solid Propellants 17 58 .
Y. Ma, W. K. Van Moorhem & R. W. Shorthill. (1991) Experimental investigation of velocity coupling in combustion instability. Journal of Propulsion and Power 7:5, pages 692-699.
Crossref
U.G. Hegde, D.M. Reuter & B.T. Zinn. (1991) Frequency control in unstable and pulse combustors. Symposium (International) on Combustion 23:1, pages 859-865.
Crossref
J.A. CarvalhoJr.Jr., M.A. Ferreira, C. Bressan & J.L.G. Ferreira. (1989) Definition of heater location to drive maximum amplitude acoustic oscillations in a Rijke tube. Combustion and Flame 76:1, pages 17-27.
Crossref
Robert A. Beddini & Ted A. Roberts. (1988) Turbularization of an acoustic boundary layer on a transpiring surface. AIAA Journal 26:8, pages 917-923.
Crossref
G. AVALON & F. CAUTY. (1987) Experimental investigation of a type of solid propellant velocity coupling. Experimental investigation of a type of solid propellant velocity coupling.
L. L. Narayanaswami, B. T. Zinn & B. R. Daniel. (1987) Experimental investigation of the characteristics of solid-propellant, velocity-coupled response functions. AIAA Journal 25:4, pages 584-591.
Crossref
R. S. Brown, A. M. Blackner, P. G. Willoughby & R. Dunlap. (1986) Coupling between acoustic velocity oscillations and solid-propellantcombustion. Journal of Propulsion and Power 2:5, pages 428-437.
Crossref
R. S. Brown. (1986) Blowdown pulser design criteria for solid-propellant rockets. Journal of Propulsion and Power 2:2, pages 110-116.
Crossref
R. BROWN, A. BLACKNER, P. WILLOUGHBY & R. DUNLAP. (1986) Coupling between velocity oscillations and solid propellant combustion. Coupling between velocity oscillations and solid propellant combustion.
Robert K. Sigman. (1985) Boundary condition for rocket motor stability. AIAA Journal 23:7, pages 1079-1085.
Crossref
Norman S. Cohen & Leon D. Strand. (1985) Effects of AP particle size on combustion response to cross flow. AIAA Journal 23:5, pages 776-780.
Crossref
Norman S. Cohen & Leon D. Strand. (1985) Combustion response to compositional fluctuations. AIAA Journal 23:5, pages 760-767.
Crossref
Z. Leibovitz & A. Gany. (1984) Investigation of solid propellant combustion instability by means of a T-burner. Acta Astronautica 11:9, pages 603-606.
Crossref
J. DEUR & R. HESSLER. (1984) Forced oscillation theory. Forced oscillation theory.
. 1984. Fundamentals of Solid-Propellant Combustion. Fundamentals of Solid-Propellant Combustion 791 840 .
N. COHEN & L. STRAND. (1983) Effects of AP particle size on combustion response to crossflow. Effects of AP particle size on combustion response to crossflow.
Jay N. Levine & Joseph D. Baum. (1983) A numerical study of nonlinear instability phenomena in solid rocketmotors. AIAA Journal 21:4, pages 557-564.
Crossref
R. BROWN. (1983) Pulser design criteria for solid propellant rocket motors. Pulser design criteria for solid propellant rocket motors.
L. NARAYANASWAMI, B. DANIEL & B. ZINN. (1983) Experimental investigation of pressure and velocity coupled responsefunctions of aluminized and non-aluminized solid propellants. Experimental investigation of pressure and velocity coupled responsefunctions of aluminized and non-aluminized solid propellants.
N. COHEN & L. STRAND. (1983) Combustion response to compositional fluctuations. Combustion response to compositional fluctuations.
R.S. BrownR.C. WaughV.L. Kelly. (1982) Rotating Valve for Velocity-Coupled Combustion Response Measurements. Journal of Spacecraft and Rockets 19:5, pages 437-444.
Crossref
Ben T. Zinn, Nehemia Miller, Joao A. Carvalho & Brady R. Daniel. (1982) Pulsating combustion of coal in a Rijke type combustor. Symposium (International) on Combustion 19:1, pages 1197-1203.
Crossref
J. LEVINE & J. BAUM. (1981) A numerical study of nonlinear instability phenomena in solid rocket motors. A numerical study of nonlinear instability phenomena in solid rocket motors.
R. BROWN, R. WAUGH & V. KELLY. (1981) Rotating valve for velocity-coupled combustion response measurements of solid propellants. Rotating valve for velocity-coupled combustion response measurements of solid propellants.
Norman S. Cohen. (1981) Response Function Theories That Account for Size Distribution Effects-A Review. AIAA Journal 19:7, pages 907-912.
Crossref
. 1978. Experimental Diagnostics in Combustion of Solids. Experimental Diagnostics in Combustion of Solids 191 220 .
R. BROWN, P. WILLOUGHBY & V. KELLEY. (1977) Rotating valve for velocity coupled combustion response studies. Rotating valve for velocity coupled combustion response studies.
Kenneth K. Kuo & Glen R. Coates. (1977) Review of dynamic burning of solid propellants in gun and rocket propulsion systems. Symposium (International) on Combustion 16:1, pages 1177-1192.
Crossref
F.E.C. Culick. 1976. Space Activity Impact on Science and Technology. Space Activity Impact on Science and Technology 299 319 .
A. L. Karnesky & S. E. Colucci. (1975) Recent Occurrences of Combustion Instability in Solid Rocket Motors-An Overview. Journal of Spacecraft and Rockets 12:1, pages 33-38.
Crossref
A. N. Kraiko & A. A. Osipov. (1975) Investigation of the reflection of perturbations from the subsonic part of a laval nozzle. Fluid Dynamics 8:1, pages 75-83.
Crossref
R. COATES, H. KERZNER & J. PETERSON. (1973) Numerical analysis of solid propellant combustion instability in T-burners. Numerical analysis of solid propellant combustion instability in T-burners.
D. KOOKER & B. ZINN. (1973) Triggering axial instabilities in solid rockets - Numerical predictions. Triggering axial instabilities in solid rockets - Numerical predictions.
Marcel Barrère & Lionel Nadaud. 1973. Astronautical Research 1971. Astronautical Research 1971 265 284 .
B. BROWN. (1971) Pulsed T-burner testing of combustion dynamics of aluminized solid propellants. Pulsed T-burner testing of combustion dynamics of aluminized solid propellants.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.