ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Influence of structure on two-phase flow in visual nozzle of solid rocket motor
Received date: 2025-04-30
Revised date: 2025-05-19
Accepted date: 2025-07-21
Online published: 2025-07-31
Supported by
Provincial or Ministerial Level Project
To investigate the velocity distribution in the two-phase flow field of the solid rocket motor nozzle， a two-dimensional planar visual nozzle was designed， and an online system for measuring velocity of the nozzle flow field was established. The hot-firing test was carried out using a low combustion temperature solid propellant containing alumina particles. The flow field velocity in the expansion section inside the nozzle was obtained by the Particle-Image Velocimetry （PIV）. The influence of the truncated length of the side cover and shape of the visual nozzle on the two-phase flow field is studied by numerical simulation method. The research results show that the experimentally measured maximum axial velocity within the nozzle reached 1 850 m/s. The internal flow field contained a mixture of soot agglomerates and aluminum oxide particles， and as the soot concentration increased in the streamwise direction， the image grayscale intensity of the flow field gradually decreased from bright to dark. The numerical results indicate that reducing the truncated length of the side cover plate of the visual nozzle， thereby shifting the truncated position farther away from the nozzle throat， decreases the diffusion angle of particles from 24.3° to 21.5°， leading to a stronger concentration of particle trajectories toward the straight-line wall. The nozzle geometry was found to exert a pronounced influence on particle transport within the Laval nozzle. In the converging section and near the throat of the half-square nozzle， particles experienced repeated collisions with the straight wall due to geometric confinement， leading to a temporary residence or “particle trapping” phenomenon in the throat region. When the nozzle configuration was modified from a half-square to a full-square geometry， the maximum velocity lag of the particles relative to the gas was decreased by 46.9%.
Xiang LI , Junwei LI , Qiang LI , Pengwei WEI , Chen CHEN , Qingshan FU . Influence of structure on two-phase flow in visual nozzle of solid rocket motor[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2026 , 47(3) : 132185 -132185 . DOI: 10.7527/S1000-6893.2025.32185
| [1] | MARBLE F E. Nozzle contours for minimum particle-lag loss［J］. AIAA Journal， 1963， 1（12）： 2793-2801. |
| [2] | LANDSBAUM E M， SALINAS M P， LEARY J P. Specific impulse prediction of solid-propellant motors［J］. Journal of Spacecraft and Rockets， 1980， 17（5）： 400-406. |
| [3] | COATS D， COLEGROVE P， DUNN S. A critical review of the SPP loss mechanisms［C］∥25th Joint Propulsion Conference. Reston： AIAA， 1989. |
| [4] | HERMSEN R W. Aluminum oxide particle size for solid rocket motor performance prediction［J］. Journal of Spacecraft and Rockets， 1981， 18（6）： 483-490. |
| [5] | 陈林泉， 侯晓， 李岩芳， 等. 固体火箭发动机喷管效率计算［J］. 固体火箭技术， 2002， 25（4）： 9-11. |
| CHEN L Q， HOU X， LI Y F， et al. Calculation of nozzle efficiency for solid rocket motor［J］. Journal of Solid Rocket Technology， 2002， 25（4）： 9-11 （in Chinese）. | |
| [6] | KUMAR N， BANSAL A. Modeling of turbulence， chemistry， and heat transfer of a rocket nozzle［J］. Acta Astronautica， 2024， 223： 495-504. |
| [7] | AKIKI M， MAJDALANI J. Compressible integral representation of rotational and axisymmetric rocket flow［J］. Journal of Fluid Mechanics， 2016， 809： 213-239. |
| [8] | RESTREPO J C， BOLA?OS-ACOSTA A F， SIM?ES-MOREIRA J R. Condensation shock topologies in carbon dioxide and a non-condensable gas mixture in supersonic nozzles［J］. Physics of Fluids， 2024， 36（4）： 046104. |
| [9] | ELIAS E， LELLOUCHE G S. Two-phase critical flow［J］. International Journal of Multiphase Flow， 1994， 20（S1）： 91-168. |
| [10] | HUNTER S， CHERRY S， KLIEGEL J. Gas-particle nozzle flows with reaction and particle size change［C］∥19th Aerospace Sciences Meeting. Reston： AIAA， 1981. |
| [11] | VASENIN I M， NARIMANOV R K， GLAZUNOV A A， et al. Two-phase flows in the nozzles of solid rocket motors［J］. Journal of Propulsion and Power， 1995， 11（4）： 583-592. |
| [12] | LOTH E， TYLER DASPIT J， JEONG M， et al. Supersonic and hypersonic drag coefficients for a sphere［J］. AIAA Journal， 2021， 59（8）： 3261-3274. |
| [13] | CAPECELATRO J， WAGNER J L. Gas-particle dynamics in high-speed flows［J］. Annual Review of Fluid Mechanics， 2024， 56： 379-403. |
| [14] | YANG Q J， YANG S L， YU H S， et al. Impact of Laval nozzle structure on the flow characteristics of supersonic gas-solid two-phase flow［J］. Powder Technology， 2024， 439： 119657. |
| [15] | BRYKOV N， EMELYANOV V， TETERINA I， et al. Drag and heat transfer of metal and oxide agglomerates in flow of combustion products of solid propellant［J］. Acta Astronautica， 2023， 205： 319-331. |
| [16] | 于勇， 刘淑艳， 张世军， 等. 固体火箭发动机喷管气固两相流动的数值模拟［J］. 航空动力学报， 2009， 24（4）： 931-937. |
| YU Y， LIU S Y， ZHANG S J， et al. Numerical simulation of gas-particle flow in nozzle of solid rocket motor［J］. Journal of Aerospace Power， 2009， 24（4）： 931-937 （in Chinese）. | |
| [17] | LI X， ZHANG H B， BAI B F. Particle-free zone of the two-phase flow in a convergent-divergent nozzle［J］. Powder Technology， 2021， 394： 1169-1177. |
| [18] | 穆旭， 田维平， 董新刚， 等. 固体火箭发动机喷管扩张段型面参数对其性能影响仿真分析［J］. 固体火箭技术， 2021， 44（2）： 254-263. |
| MU X， TIAN W P， DONG X G， et al. Study on the effect of divergence contour parameters on performance of solid rocket motor nozzle［J］. Journal of Solid Rocket Technology， 2021， 44（2）： 254-263 （in Chinese）. | |
| [19] | GROSSI M， SERENO A， BIANCHI D， et al. Numerical simulation of multiphase flows in solid rocket motors nozzles［C］∥AIAA Aviation 2022 Forum. Reston： AIAA， 2022. |
| [20] | GROSSI M， SERENO A， BIANCHI D， et al. Multiphase effects on solid rocket nozzle performance［J］. Journal of Propulsion and Power， 2023， 39（6）： 811-823. |
| [21] | 李泓瑾， 李军伟， 谢侃， 等. 两相流对固体火箭发动机塞式喷管性能的影响［J］. 航空学报， 2023， 44（16）： 127890. |
| LI H J， LI J W， XIE K， et al. Effect of two-phase flow on performance of plug nozzle in solid rocket motor［J］. Acta Aeronautica et Astronautica Sinica， 2023， 44（16）： 127890 （in Chinese）. | |
| [22] | 黄浩， 丰志伟， 马立坤， 等. 颗粒参数对轴对称超声速气固两相流喷管性能的影响研究［J］. 推进技术， 2023， 44（8）： 22010045. |
| HUANG H， FENG Z W， MA L K， et al. Effects of particle parameters on performance of axisymmetric supersonic gas-solid two-phase flow nozzle［J］. Journal of Propulsion Technology， 2023， 44（8）： 22010045 （in Chinese）. | |
| [23] | ADRIAN R J. Particle-imaging techniques for experimental fluid mechanics［J］. Annual Review of Fluid Mechanics， 1991， 23： 261-304. |
| [24] | RAFFEL M， WILLERT C E， WERELEY S T， et al. Particle image velocimetry： A practical guide［M］. Berlin， Heidelberg： Springer， 2007. |
| [25] | 徐惊雷. PIV技术在超及高超声速流场测量中的研究进展［J］. 力学进展， 2012， 42（1）： 81-90. |
| XU J L. The development of the PIV experimental study of the super/hypersoinc flowfield［J］. Advances in Mechanics， 2012， 42（1）： 81-90 （in Chinese）. | |
| [26] | SAKAKIBARA K， YAMADA M， MIYAMOTO Y， et al. Measurement of the surrounding liquid motion of a single rising bubble using a Dual-Camera PIV system［J］. Flow Measurement and Instrumentation， 2007， 18（5-6）： 211-215. |
| [27] | GESCHWINDNER C， WESTRUP K， DREIZLER A， et al. Pulse picking of a fiber laser enables velocimetry of biomass-laden jets at low and ultra-high repetition rates［J］. Proceedings of the Combustion Institute， 2023， 39（1）： 1325-1335. |
| [28] | LIU T S， MERAT A， MAKHMALBAF M H M， et al. Comparison between optical flow and cross-correlation methods for extraction of velocity fields from particle images［J］. Experiments in Fluids， 2015， 56： 166. |
| [29] | SCARANO F， RIETHMULLER M L. Iterative multigrid approach in PIV image processing with discrete window offset［J］. Experiments in Fluids， 1999， 26（6）： 513-523. |
| [30] | FORE L B. Reduction of peak-locking errors produced by Gaussian sub-pixel interpolation in cross-correlation digital particle image velocimetry［J］. Measurement Science and Technology， 2010， 21（3）： 035402. |
| [31] | WESTERWEEL J. Efficient detection of spurious vectors in particle image velocimetry data［J］. Experiments in Fluids， 1994， 16： 236-247. |
| [32] | MENTER F R. Two-equation eddy-viscosity turbulence models for engineering applications［J］. AIAA Journal， 1994， 32（8）： 1598-1605. |
| [33] | MENTER F R， RUMSEY C L. Assessment of two-equation turbulence models for transonic flows ［C］∥25th AIAA Fluid Dynamics Conference. Reston： AIAA， 1994. |
| [34] | AGHA MIRJALILY S ALI. Calibration of the k-ω shear stress transport turbulence model for shock wave boundary layer interaction in a SERN using machine learning［J］. Engineering Analysis with Boundary Elements， 2023， 146： 96-104. |
| [35] | AGHA MIRJALILY S ALI. Lambda shock behaviors of elliptic supersonic jets； a numerical analysis with modification of RANS turbulence model［J］. Aerospace Science and Technology， 2021， 112： 106613. |
| [36] | MORSI S A， ALEXANDER A J. An investigation of particle trajectories in two-phase flow systems［J］. Journal of Fluid Mechanics， 1972， 55（2）： 193-208. |
| [37] | ROE P L. Approximate Riemann solvers， parameter vectors， and difference schemes［J］. Journal of Computational Physics， 1997， 135（2）： 250-258. |
| [38] | BURT J M， BOYD I D. Development of a two-way coupled model for two phase rarefied flows［C］∥42nd AIAA Aerospace Sciences Meeting and Exhibit. Reston： AIAA， 2004. |
| [39] | NGUYEN A V， FLETCHER C A J. Particle interaction with the wall surface in two-phase gas-solid particle flow［J］. International Journal of Multiphase Flow， 1999， 25（1）： 139-154. |
| [40] | LOTH E， MARSHALL J S. Restitution coefficient models for collisions of airborne particles and drops［J］. Journal of Aerosol Science， 2023， 173： 106186. |
| [41] | SIRAVURI S， TABAKOFF W， GUNARAJ J A. Experimental investigation of particle rebound characteristics on turbomachinery leading edge geometry ［C］∥Proceedings of the ASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition. New York： ASME， 1999. |
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