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Modified Method of Characteristics for Analysing Cold Flow in Bell-Type Rocket Nozzle

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Proceedings of International Conference on Thermofluids

Abstract

To achieve higher thrust force, numerical investigation of flow behaviour of bell-type rocket nozzle has been carried out in the present research work. Analysis of thermodynamic properties is performed by using ANSYS Fluent software. K-ω shear stress transport model has been used to study the turbulent components of thermodynamic properties. Overall performance gain of a bell-type nozzle and nozzle geometric modifications are discussed. The nozzle geometric modifications are highlighted by executing a C-code with concepts of the method of characteristics (MOC) and modified method of characteristics (MMOC). With modified geometry as per the modified method of characteristics (MMOC), the present numerical study has ensured the fully expanded cold flow in nozzle. The results obtained by the method of characteristics (MOC) are compared with the calculations of the thrust force for the modified geometry.

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Abbreviations

M :

Mach number

ϑ(M):

Prandtl–Meyer function

ϑ :

Prandtl–Meyer angle

θ :

Angle made with respect to streamline coordinate axis

μ :

Mach angle with respect to characteristic lines

References

  1. Hagemann G, Immich H, Dumnov D (1998) Advance rocket nozzle. J Propul Power 14(5):620–634

    Article  Google Scholar 

  2. Kbab H, Sellam M, Lagab L, Hamitouche T (2016) Design and performance evaluation of dual bell nozzle. Int J Eng Res Methodol. https://doi.org/10.1016/j.actaastro.2016.10.015

    Article  Google Scholar 

  3. Hosters N, Klaus M, Behr M, Reimerdes HG (2013) Application of partitioned field approach to transient aero-thermal problem in rocket nozzle. Comput Fluids 88:795–803

    Article  MathSciNet  Google Scholar 

  4. Lijo V, Kim HD, Setoguchi T, Matsuo S (2010) Numerical simulation of transient flow in rocket propulsion nozzle. Int J Heat Fluid Flow 31:409–407

    Article  Google Scholar 

  5. Natta P, Kumar VR, Rao YVH (2012) Flow analysis of rocket nozzle using computational fluid dynamics. Int J Eng Res Appl 2(5):1226–1235

    Google Scholar 

  6. Zebbiche T, Youbi Z (2006) Supersonic two dimensional minimum length nozzle design at high temperature: application of air. In: 42nd joint propulsion conference and exhibit, AIAA, p 4599

    Google Scholar 

  7. Ostlund J, Muhammad-Klingmann B (2005) Supersonic flow separation with application to rocket engine nozzle. ASME. 58:143–177

    Google Scholar 

  8. Hartfield Jr R, Burkhalter J (2015) A complete and robust approach to axisymmetric method of characteristics for nozzle design. In: 51st joint propulsion conference, AIAA, p 4217

    Google Scholar 

  9. Prince Jr D (1982) The method of characteristics for supersonic flow analysis—a fresh perspective. In: 3rd thermophysics, fluids, plasma and heat transfer conference, AIAA, p 996

    Google Scholar 

  10. Dumitrescu L (1975) Minimum length axisymmetric laval nozzle. AAIA 13(4):520–521

    Article  Google Scholar 

  11. Welle R, Hardy B, Murdock J, Majamaki A, Hawkins G (2003) Separation instabilities in over-expanded nozzles. In: 39th joint propulsion conference and exhibit, AIAA, p 5239

    Google Scholar 

  12. Argrow B, Emanuel G (1989) A computational analysis of the transonic flow field of two dimensional minimum length nozzles. In: 20th fluid dynamics, plasma dynamics and lasers conference, AIAA, p 1822

    Google Scholar 

  13. Benton J, Perkins J (1990) Limitations of the methods of characteristics when applied to axisymmetric hypersonic nozzle design. In: 28th Aerospace Sciences Meeting, AIAA, p 0192.

    Google Scholar 

  14. Louisos W, Hitt D (2008) Numerical studies of thrust production in 2-D supersonic bell micronozzles. In: 44th joint propulsion conference and exhibit, AIAA, p 5233

    Google Scholar 

  15. Tam C, Tanna H (1982) Shock associated noise of supersonic jets from convergent-divergent nozzles. J Sound Vibr 81(3):337–358

    Google Scholar 

  16. Jia R, Jiang Z, Zhang W (2016) Transient three-dimensional side-loads analysis of a thrust-optimized parabolic nozzle during staging. Acta Astronaut 122:137–145

    Article  Google Scholar 

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Correspondence to Atal Bihari Harichandan .

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Panigrahi, S., Maity, P.S., Sinha, G.S., Dangi, D., Harichandan, A.B. (2021). Modified Method of Characteristics for Analysing Cold Flow in Bell-Type Rocket Nozzle. In: Revankar, S., Sen, S., Sahu, D. (eds) Proceedings of International Conference on Thermofluids. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-7831-1_15

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  • DOI: https://doi.org/10.1007/978-981-15-7831-1_15

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-7830-4

  • Online ISBN: 978-981-15-7831-1

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