Skip to main content
SpringerLink
Log in

Influence of Heat Transfer on Decreasing Intensity of a Spherical Explosion in Aqueous Foam

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The two-phase model of aqueous foam behavior under strong spherical shock wave (SW) impact, is developed using equations of mixture conservation of momentum, mass and internal energy for each phase in Lagrange variables, taking into account bulk viscosity and interphase heat transfer. The numerical implementation of the model was carried out by the counting method, using the Neu-mann-Richtmyer viscosity and the Courant stability condition. The spherical explosion was modeled in the form of a SW, which has the same energy of charge of explosives, as used in experiments. A satisfactory agreement was obtained between the numerical solution, received by the proposed model, the analytical self-similar L.I. Sedov’s solution on a point spherical explosion in a gas and a new experimental data on the spherical explosion in aqueous foam. The causes, which lead to a significant decrease in amplitude and SW velocity in the studied media, are investigated in detail.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Borisov, A.A., Gelfand, B.E., Kudinov, V.M., et al., Shock waves in water foams, Acta Astron., 1978, vol. 5, no. 11, pp. 1027–1033.

    Article  Google Scholar 

  2. Jourdan, G., Marian, C., Houas, L., et al., Analysis of shock-wave propagation in aqueous foams using shock tube experiments, Phys. Fluids, 2015, vol. 27, p. 056101.

    Article  ADS  Google Scholar 

  3. Vakhnenko, V.A., Kudinov, B.M., and Palamarchuk, B.I., Damping of strong shocks in relaxing media, Combust., Explos., Shock Waves, 1984, vol. 20, no. 1, pp. 97–103.

    Article  Google Scholar 

  4. Del Prete, E., Chinnayya, A., Domergue, L., et al., Blast wave mitigation by dry aqueous foams, Shock Waves, 2013, vol. 23, no. 1, pp. 39–53.

    Article  ADS  Google Scholar 

  5. Zhdan, S.A., Numerical modeling of the explosion of a high explosive (HE) charge in foam, Combust., Explos., Shock Waves, 1990, vol. 26, no. 2, pp. 221–227.

    Article  Google Scholar 

  6. Bolotnova, R.Kh. and Agisheva, U.O., Spatial modeling of water foam dynamics with moving Lagrangian grids under shock wave impact, Num. Meth. Progr., 2014, vol. 15, no. 3, pp. 427–440.

    Google Scholar 

  7. Agisheva, U.O., Bolotnova, R.Kh., Gainullina, E.F., et al., Features of vortex formation under the impact of a pressure pulse on a gas region bounded by the foam layer, Fluid Dyn., 2016, vol. 51, no. 6, pp. 757–766.

    Article  MathSciNet  Google Scholar 

  8. Bolotnova, R.Kh. and Gainullina, E.F., A research of damping properties of aqueous foam under the impact of spherical shock waves, Univ. Proc. Volga Region, 2017, vol. 42, no. 2, pp. 108–121.

    Google Scholar 

  9. Nigmatulin, R.I., Dynamics of Multiphase Media, New York: CRC Press, 1990.

    Google Scholar 

  10. Kudinov, V.M., Palamarchuk, B.I., Gel’fand, B.E., et al., Shock waves in gas-liquid foams, Sov. Appl. Mech., 1977, vol. 13, no. 3, pp. 279–283.

    Article  ADS  Google Scholar 

  11. Nigmatulin, R.I. and Bolotnova, R.Kh., Wide-range equation of state of water and steam: simplified form, High Temp., 2011, vol. 49, no. 2, pp. 303–306.

    Article  Google Scholar 

  12. Beschastnov, M.V., Promyshlennye vzryvy: otsenka i preduprezhdenie (Industrial Explosions. Estimations and Prevention), Moscow: Khimiya, 1991.

    Google Scholar 

  13. Neumann, J.A. and Richtmyer, R., Method for the numerical calculation of hydrodynamical shocks, J. Appl. Phys., 1950, vol. 21, no. 3, pp. 232–237.

    Article  ADS  MathSciNet  Google Scholar 

  14. Sedov, L.I., Similarity and Dimensional Methods in Mechanics, Boca Raton: CRC Press, 1993.

    Google Scholar 

  15. Kinney, G. and Graham, K., Explosives Shocks in Air, Berlin: Springer, 1985.

    Book  Google Scholar 

  16. Hartman, W., Boughton, B., and Larsen, M., Blast mitigation capabilities of aqueous foam, Tech. Rep., Sandia National Lab., 2006, no. SAND2006-0533.

    Google Scholar 

  17. Agisheva, U.O., Bolotnova, R.Kh., Buzina, V.A., et al., Parametric analysis of the regimes of shockwave action on gasliquid media, Fluid Dyn., 2013, no. 2, pp. 151–162.

    Article  ADS  Google Scholar 

Download references

Funding

This work was partially supported by the Russian Foundation for Basic Research under Grant 17-41-020582, the Grant of the Bashkortostan Republic of Russian Federation to young scientists (no. 8 GR 18.03.2019), the state budget funds for the state assignment 0246-2019-0052 of RAS and the Program of Russian Academy of Sciences (OE IV-12-4 DEMbMCP).

Author information

Authors and Affiliations

  1. Mavlyutov Institute of Mechanics UFRC RAS, Ufa, Russia

    R. Kh. Bolotnova & E. F. Gainullina

Authors
  1. R. Kh. Bolotnova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. F. Gainullina
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to R. Kh. Bolotnova or E. F. Gainullina.

Additional information

Russian Text © The Author(s), 2019, published in Prikladnaya Matematika i Mekhanika, 2019, Vol. 83, No. 3, pp. 468–477

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bolotnova, R.K., Gainullina, E.F. Influence of Heat Transfer on Decreasing Intensity of a Spherical Explosion in Aqueous Foam. Fluid Dyn 54, 970–977 (2019). https://doi.org/10.1134/S0015462819070024

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462819070024

Keywords

Search

Navigation