Impact of semi-elliptical cracks on risk assessment for rocket nozzle structural integrity using a fluid-solid interaction

Authors

  • M. Nedjari Djillali Liabès University

DOI:

https://doi.org/10.31349/RevMexFis.72.020602

Abstract

Rocket propulsion systems rely on efficient fluid dynamics within their nozzles to achieve optimal performance. However, rocket nozzles can be susceptible to various failure modes that significantly impact their performances. The aim of this study was to investigate the interaction between fluid flow and rocket nozzle structure to identify critical position prone to failure. It was performed in two steps. In the CFD section, Mach number, static pressure, wall Yplus and axial wall shear stress were predicted. In the FEA section, semi-elliptical cracks were intentionally created at the critical position where the maximum hoop stress was located, provided by the CFD analysis. To comprehensively analyze the nozzle’s failure potential, stress intensity factor was numerically carried out and Failure Assessment Diagram (FAD) was employed, as an analytical tool. Each defect depth ratio was evaluated based on its corresponding position within the assessment diagram, while considering factors such as material properties and operating conditions. The main results obtained show that the CFD analysis demonstrated good agreement with the experimental data, with a predicted separation location deviating by only 0.3%. The error between the numerical results and the local measurements on the nozzle wall is 3.84%, which is quite satisfactory. Additionally, the failure assessment indicated that crack depth ratios (a/t > 0.5) in the critical position of the nozzle lead to failure, while ratios (a/t < 0.5) remain within the safe region.

References

D. Mishra, Fundamentals of rocket propulsion (CRC Press, 2017), https://doi.org/10.1201/9781315175997

P. Sutton George and O. Biblarz, Rocket Propulsion Elements John Wiley and Sons (2016)

A. Hadjadj, Y. Perrot, and S. Verma, Numerical study of shock/boundary layer interaction in supersonic overexpanded nozzles, Aerospace science and technology 42 (2015) 158, https://doi.org/10.1016/j.ast.2015.01.010

V. Lijo et al., Numerical simulation of transient flows in a rocket propulsion nozzle, International Journal of Heat and Fluid Flow 31 (2010) 409, https://doi.org/10.1016/j.ijheatfluidflow.2009.12.005

L. Garelli, R. R. Paz, and M. A. Storti, Fluid-structure interaction study of the start-up of a rocket engine nozzle, Computers and Fluids 39 (2010) 1208, https://doi.org/10.1016/j.compfluid.2010.03.005

H. Ludeke et al., A fluid structure coupling of the ariane-5 during start phase by DES (2008), https://elib.dlr.de/63201

S. Jack and M. Oschwald, Simulation of Fluid Structure Interaction in Overexpanded Cold Gas Rocket Nozzles Using the DLR TAU Code, In 7th European Conference for Aeronautics and Space Sciences (EUCASS) (2017) https://elib.dlr.de/116250

E. Martelli et al., Flow dynamics and wall-pressure signatures in a high-Reynolds-number overexpanded nozzle with free shock separation, Journal of Fluid Mechanics 895 (2020) A29, https://doi.org/10.1017/jfm

M. Bernardini et al., Unsteadiness characterisation of shock wave/turbulent boundary-layer interaction at moderate Reynolds number, Journal of Fluid Mechanics 954 (2023) A43. https://doi.org/10.1017/jfm.2022.1038

H. Luddeke, J. B. Calvo, and A. Filimon, Fluid structure interaction at the ariane-5 nozzle section by advanced turbulence models, In ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics, Egmond aan Zee, The Netherlands, September 5-8, 2006 (Delft University of Technology; European Community on Computational Methods, 2006). https://elib.dlr.de/46935

E. Blades, E. Luke, and J. Ruf, Fully coupled fluid-structure interaction simulations of rocket engine side loads, In 48th AIAA/ASME/SAE/ASEE joint propulsion conference and exhibit (2012) p. 3969

B. G. N. Muthanna et al., Numerical study of semi-elliptical cracks in the critical position of pipe elbow, Frattura ed Integrita Strutturale 13 (2019) 463, https://doi.org/10.3221/IGF-ESIS.49.44

A. Mouna et al., Corrosion effect, constraint and path orientation estimated in cracked gas turbine blade, Engineering Failure Analysis 110 (2020) 104345, https://doi.org/10.1016/j.engfailanal.2019.104345

H. Boukortt et al., Hydrogen embrittlement effect on the structural integrity of API 5L X52 steel pipeline, International Journal of Hydrogen Energy 43 (2018) 19615, https://doi.org/10.1016/j.ijhydene.2018.08.149

G. Romano, R. Barretta, and M. Diaco, Solid-fluid interaction: a continuum mechanics assessment, Acta Mechanica 228 (2017) 851, https://doi.org/10.1007/s00707-016-1738-7

M. Amara et al., Effect of sand particles on the Erosioncorrosion for a different locations of carbon steel pipe elbow, Procedia Structural Integrity 13 (2018) 2137, https://doi.org/10.1016/j.prostr.2018.12.151

Y. Chen et al., Theoretical analysis and verification on plastic deformation behavior of rocket nozzle using a novel tube upsetting-bulging method, Materials 16 (2023) 1680, https://doi.org/10.3390/ma16041680

B. Nigar et al., Understanding mechanical failure of graphite rocket nozzle throats under thermal stresses, Aerospace Science and Technology 119 (2021) 107152, https://doi.org/10.1016/j.ast.2021.107152

C. Fang et al., A simplified finite element method for failure analysis in adhesive-bonded nozzle diffuser of solid rocket motors, In Journal of Physics: Conference Series, 2535 (IOP Publishing, 2023) p. 012014, https://doi.org/10.1088/1742-6596/2535/1/012014

D. Kowollik et al., 3D fluid-structure interaction analysis of a typical liquid rocket engine cycle based on a novel viscoplastic damage model, International journal for numerical methods in engineering 94 (2013) 1165, https://doi.org/10.1002/nme.4488

R. Stark and G. Hagemann, Current status of numerical flow prediction for separated nozzle flows (2007), https://elib.dlr.de/49262

R. Stark and B. Wagner, Experimental study of boundary layer separation in truncated ideal contour nozzles, Shock Waves 19 (2009) 185, https://doi.org/10.1007/s00193-008-0174-6

M. Nedjari, A. Benarous, and A. Benazza, Numerical characterization of shock separation in a laboratory-scale nozzle, Revista Mexicana de F´ısica 69 (2023) 010601, https://doi.org/10.31349/RevMexFis.69.010601

H.-Y. Lai et al., Fracture analysis of a piezoelectric elliptical tube subject to internal pressure and thermal loadings, Acta Mechanica 232 (2021) 2493, https://doi.org/10.1007/s00707-021-02943-4

Č. Kostić, Review of the Spalart-Allmaras turbulence model and its modifications to three-dimensional supersonic configurations, Scientific Technical Review 65 (2015) 43, https://scindeks.ceon.rs/Article.aspx?artid=1820-02061501043K

https://www.ansys.com/products

A. Petrik and R. Aroch, Usage of true stress-strain curve for FE simulation and the influencing parameters, In IOP Conference Series: Materials Science and Engineering, 566 (2019) 012025, https://doi.org/10.1088/1757-899X/566/1/012025

B. G. N. Muthanna et al., Assessment of corroded API 5L X52 pipe elbow using a modified failure assessment diagram, International journal of pressure vessels and piping 190 (2021) 104291, https://doi.org/10.1016/j.ijpvp.2020.104291

W. Choi et al., Development of thermal stress concentration factors for life assessment of turbine casings, International journal of pressure vessels and piping 98 (2012) 1, https://doi.org/10.1016/j.ijpvp.2012.07.001

J. Y. Zheng, M. W. Fu, and F. Zeng, Design and development of multi-scaled metallic parts and structures, In Encyclopedia of Materials: Metals and Alloys, pp. 3-18 (Elsevier, 2021), https://doi.org/10.1016/B978-0-12-819726-4.00137-X

J. Gimeno, O. Venegas, and J. Urbano, Stress Concentration Factor in vessels with circular crosshole: Continuous parameters analysis, International Journal of Pressure Vessels and Piping 199 (2022) 104775, https://doi.org/10.1016/j.ijpvp.2022.104775

R. Molaei et al., Fatigue and fracture of additively manufactured metallic materials, Comprehensive Structural Integrity (2023) V1, https://doi.org/10.1016/B978-0-12-822944-6.00010-4

B. G. N. Muthanna et al., Inspection of internal erosioncorrosion of elbow pipe in the desalination station, Engineering Failure Analysis 102 (2019) 293, https://doi.org/10.1016/j.engfailanal.2019.04.062

A. Balabel et al., Assessment of turbulence modeling for gas flow in two-dimensional convergent-divergent rocket nozzle, Applied Mathematical Modelling 35 (2011) 3408, https://doi.org/10.1016/j.apm.2011.01.013

Downloads

Published

2026-03-09

How to Cite

[1]
M. NEDJARI, “Impact of semi-elliptical cracks on risk assessment for rocket nozzle structural integrity using a fluid-solid interaction”, Rev. Mex. Fís., vol. 72, no. 2 Mar-Apr, pp. 020602 1–, Mar. 2026.