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Numerical Study of Spherical and Cylindrical Shock Wave Focusing

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Sustainable Development for Energy, Power, and Propulsion

Abstract

A large amount of energy is associated with shock waves. Current work studies the flow parameters upon exposure to cylindrical and spherical shock focusing. Shock wave is allowed to focus by traversing through a confined converging section attached to a shock tube. The shock tube is having 2 m driver and 6 m driven section. Numerical simulations were carried out using commercially available software ANSYS-Fluent. 2-D Planar and 2-D Axisymmetric models were simulated in order to obtain cylindrical and spherical shock wave focusing effect. The shock wave with increased strength is found to accelerate inside the converging section. Moreover, during focusing, spherical shock is observed to have more acceleration in comparison to cylindrical shock. A detailed study of spherical shock focusing with real gas effects was added in the numerical simulations. 47% reduction in the maximum temperature is observed with inclusion of real gas effects.

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References

  1. Glass II, Sagie D (1981) Application of explosive-driven implosions to fusion. Phys Fluids 25:269

    Google Scholar 

  2. Glass II, Sharma SP (1976) Production of diamonds from graphite using explosive-driven implosions. AIAA J 14:402–404

    Google Scholar 

  3. Brenner MP, Hilgenfeldt S, Lohse D (2002) Single-bubble sonoluminescence. Rev Mod Phys 74

    Google Scholar 

  4. McGrath JR (1966) Exploding wire research 1774–1963. NRL Memorandum Report 1698, US Naval Research Laboratory

    Google Scholar 

  5. Hosseini SHR, Takayama K (2005) Implosion of a spherical shock wave reflected from a spherical wall. J Fluid Mech 530:223–239

    Google Scholar 

  6. Guderley G (1942) Starke kugelige und zylindrische Verdichtungsstöße in der Nähe des Kugelmittelpunktes bzw. der Zylinderachse. Luftfahrtforschung 19:302–313

    Google Scholar 

  7. Perry RW, Kantrowitz A (1951) The production and stability of converging shock waves. J Appl Phys 22:878–886

    Google Scholar 

  8. Knystautas R, Lee JHS (1971) Experiments on the stability of converging cylindrical detonations. Combust Flame 16:61–73

    Google Scholar 

  9. Sturtevant B, Kulkarny VA (1976) The focusing of weak shock waves. J Fluid Mech 73:651–671

    Google Scholar 

  10. Takayama K, Kleine H, Grönig H (1987) An experimental investigation of the stability of converging cylindrical shock waves in air. Exp Fluids 5:315–322

    Google Scholar 

  11. Malte K (20012) Energy concentration by converging shock waves in gases. Technical Report, KTH Mechanics, Royal Institute of Technology, Sweden

    Google Scholar 

  12. Ramsey SD, Kamm JR, Bolstad JH (2012) The Guderly problem revised. Int J Comput Fluid Dyn 26(2):79–99

    Google Scholar 

  13. Desai S, Kulkarni V, Gadgil H (2016) Delusive influence of nondimensional numbers in canonical hypersonic nonequilibrium flows. J Aerosp Eng 29(5)

    Google Scholar 

  14. See http://combustion.berkeley.edu/grimech/data/thermotable.html for information about temperature-dependent Cp of various gaseous species

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Acknowledgement

The research was supported by Science and Engineering Research Board (SERB), India, through Early Career Research Grant, ECR/2018/000678.

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Correspondence to Sugarno Mohammed Ibrahim .

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Saranyamol, V.S., Soumya Ranjan, N., Mohammed Ibrahim, S. (2021). Numerical Study of Spherical and Cylindrical Shock Wave Focusing. In: De, A., Gupta, A., Aggarwal, S., Kushari, A., Runchal, A. (eds) Sustainable Development for Energy, Power, and Propulsion. Green Energy and Technology. Springer, Singapore. https://doi.org/10.1007/978-981-15-5667-8_2

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  • DOI: https://doi.org/10.1007/978-981-15-5667-8_2

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