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Comparative Study of Shock Formation in Bell and Conical Nozzle

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Emerging Trends in Mechanical and Industrial Engineering

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

The aerospace industry is dependent on rocket technologies that allow for reduced prices, more simplicity, and lighter weight while maintaining high performance. A nozzle is a particularly designed duct that accelerates hot gases. The nozzle of a rocket is generally designed with a fixed convergent part followed by a specified divergent section. A convergent–divergent nozzle, typically termed as a de Laval nozzle, does have this configuration. The method of characteristics (MoC) and RAO’s geometry is used to design the de Laval nozzles and, in the current work, the CFD analysis of supersonic flow through two types of nozzles, namely conical and contour (bell) nozzles are done, and the flow characteristics through the nozzle are analyzed for the inviscid, compressible flow conditions. It was found that the bell nozzle provides better shock-free expansion for the given same operating conditions than its counterpart.

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Abbreviations

P:

Static pressure (Pa)

P o :

Total pressure (Pa)

ν :

Prandtl–Meyer function

γ :

Specific heat ratio

M:

Mach number

θ w :

Wall angle

ρ :

Density (kg/m3)

V :

Velocity (m/s)

u :

X component of velocity (m/s)

v :

Y component of velocity (m/s)

f x :

X component of body force (N)

f y :

Y component of body force (N)

e :

Internal energy per unit mass (J/kg)

q˙:

Heat transfer per unit mass (W/kg)

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Acknowledgements

We’d like to express our gratitude to Amrita Vishwa Vidyapeetham’s Mechanical Engineering Department for enabling us with the resources we needed to run the program. Finally, we’d want to show our immense indebtedness to our parents for bolstering our sense of competence and encouraging us throughout the length of this work.

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Amrita Vishwa Vidyapeetham, Amritapuri, India

    D. V. S. Siddhartha, Kabir Das Sadiq & R. S. Sarath

Authors
  1. D. V. S. Siddhartha
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  2. Kabir Das Sadiq
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  3. R. S. Sarath
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Corresponding author

Correspondence to R. S. Sarath .

Editor information

Editors and Affiliations

  1. Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, ON, Canada

    Xianguo Li

  2. Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, China

    Mohammad Mehdi Rashidi

  3. Department of Mechanical Engineering, The NorthCap University, Gurugram, Haryana, India

    Rohit Singh Lather

  4. Department of Mechanical Engineering, The NorthCap University, Gurugram, India

    Roshan Raman

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Siddhartha, D.V.S., Das Sadiq, K., Sarath, R.S. (2023). Comparative Study of Shock Formation in Bell and Conical Nozzle. In: Li, X., Rashidi, M.M., Lather, R.S., Raman, R. (eds) Emerging Trends in Mechanical and Industrial Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-6945-4_13

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  • DOI: https://doi.org/10.1007/978-981-19-6945-4_13

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-6944-7

  • Online ISBN: 978-981-19-6945-4

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