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Russia Ufa
Section Mechanics
Title Features of the impact of spherical shock impulse on the boundary of gas with aqueous foam
Author(-s) Bolotnova R.Kh.a, Gainullina E.F.a
Affiliations Institute of Mechanics, Ufa Centre of the Russian Academy of Sciencesa
Abstract The formation process of a spherical shock impulse in gas and its interaction with a protective aqueous foam barrier, accompanied by formation of vortex flows, are numerically investigated. The problem is solved in a two-dimensional axisymmetric formulation using a two-phase model of a gas-liquid mixture, which includes the laws of conservation of mass, momentum and energy of the mixture and an equation for the dynamics of volume content of phases.The numerical implementation is carried out on the basis of the OpenFOAM package using the standard compressibleMultiphaseInterFoam solver, modified in accordance with the conditions of the problem and model representations. The discretization of the system of equations in the chosen solver is carried out by the method of finite volumes using the computational Pimple algorithm. A significant decrease in the intensity of the shock wave in its interaction with the aqueous foam barrier is shown and the causes leading to vortex formation in the gas region are revealed. The reliability of the results obtained is estimated by comparison with solutions of a similar problem by other numerical methods.
Keywords spherical shock wave, aqueous foam barrier, numerical modeling, OpenFOAM package
UDC 532.529.5
MSC 76L04, 76T04, 76U04
DOI 10.20537/vm180307
Received 25 June 2018
Language Russian
Citation Bolotnova R.Kh., Gainullina E.F. Features of the impact of spherical shock impulse on the boundary of gas with aqueous foam, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2018, vol. 28, issue 3, pp. 364-372.
  1. Britan A., Shapiro H., Liverts M., Ben-Dor G., Chinnayya A., Hadjadj A. Macro-mechanical modelling of blast wave mitigation in foams. Part I: review of available experiments and models, Shock Waves, 2013, vol. 23, issue 1, pp. 5-23. DOI: 10.1007/s00193-012-0417-4
  2. Briman A.B., Vasil'ev E.I., Kulikovskii V.A. Modeling the process of shock-wave attenuation by a foam screen, Combustion, Explosion and Shock Waves, 1994, vol. 30, issue 3, pp. 389-396. DOI: 10.1007/BF00789435
  3. Vasil'ev E.I., Mitichkin S.Yu., Testov V.G., Haibo Hu. Pressure dynamics during shock loading of aqueous foams, Technical Physics, 1998, vol. 43, no. 7, pp. 761-765. DOI: 10.1134/1.1259070
  4. Bolotnova R.Kh., Galimzianov M.N., Agisheva U.O. Simulation of a strong shock wave interaction process in gas liquid mixtures, Izvestiya Vysshikh Uchebnukh Zavedenii. Povolzhskii Region. Fiziko-Matematicheskie Nauki, 2011, no. 2 (18), pp. 3-14 (in Russian).
  5. Bolotnova R.Kh., Galimzianov M.N., Topolnikov A.S., Agisheva U.O., Buzina V.A. Nonlinear effects in bubbly liquid with shock waves, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 2012, vol. 6, no. 8, pp. 1095-1102.
  6. Bolotnova R.Kh., Agisheva U.O. Spatial modeling of water foam dynamics with moving Lagrangian grids under shock wave impact, Vychislitel'nye Metody i Programmirovanie, 2014, vol. 15, no. 3, pp. 427-440 (in Russian).
  7. Agisheva U.O., Bolotnova R.Kh., Gainullina E.F., Korobchinskaya V.A. Features of vortex formation under the impact of a pressure pulse on a gas region bounded by the foam layer, Fluid Dynamics, 2016, vol. 51, no. 6, pp. 757-766. DOI: 10.1134/S0015462816060053
  8. Del Prete E., Chinnayya A., Domergue L., Hadjadj A., Haas J.-F. Blast wave mitigation by dry aqueous foams, Shock Waves, 2013, vol. 23, no. 1, pp. 39-53. DOI: 10.1007/s00193-012-0400-0
  9. Bolotnova R.Kh., Gainullina E.F. The numerical modeling of spherical explosion in the foam, Proceedings of the Mavlyutov Institute of Mechanics, 2016, vol. 11, no. 1, pp. 60-65 (in Russian). DOI: 10.21662/uim2016.1.009
  10. Bolotnova R.Kh., Gainullina E.F. A research of damping properties of aqueous foam under the impact of spherical shock waves, Izvestiya Vysshikh Uchebnykh Zavedenii. Povolzhskii Region. Fiziko-Matematicheskie Nauki, 2017, no. 2, pp. 108-121 (in Russian). DOI: 10.21685/2072-3040-2017-2-9
  11. Khramtsov I.V., Pisarev P.V., Pal'chikovskii V.V., Bul'bovich R.V. Modeling the formation and dynamics of a vortex ring, Vestnik Permskogo Natsional'nogo Issledovatel'skogo Politekhnicheskogo Universiteta. Aerokosmicheskaya Tekhnika, 2014, no. 39, pp. 127-144 (in Russian).
  12. Koroteeva E.Yu., Ivanov I.E., Znamenskaya I.A. The development of turbulence behind a shock wave front moving in an inhomogeneous region, Technical Physics Letters, 2012, vol. 38, no. 6, pp. 519-522. DOI: 10.1134/S1063785012060089
  13. OpenFOAM. The Open Source Computational Fluid Dynamics (CFD) Toolbox.
  14. Lipanov A.M., Karskanov S.A., Izhboldin E.Yu. Solution of unsteady aerodynamics problems on the basis of the numerical algorithms of high-order approximation, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 3, pp. 140-150 (in Russian). DOI: 10.20537/vm130311
  15. Meshkov E.E. Instability of the interface of two gases accelerated by a shock wave, Fluid Dynamics, 1969, vol. 4, no. 5, pp. 101-104. DOI: 10.1007/BF01015969
  16. Richtmyer R.D. Taylor instability in shock acceleration of compressible fluids, Communications on Pure and Applied Mathematics, 1960, vol. 13, pp. 297-319. DOI: 10.1002/cpa.3160130207
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