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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2021, Volume 14, Issue 1, Pages 118–125 (Mi vyuru586)  

Short Notes

Modelling the dynamics of shock pulse in the tube with inner layer of aqueous foam

R. Kh. Bolotnova, E. F. Gainullina

Mavlyutov Institute of Mechanics UFRC RAS, Ufa, Russian Federation

Abstract: The dynamics of the spherical shock wave initiated by an explosion in the center of the tube containing gas and layer of aqueous foam with the volumetric liquid fraction 0,2, located near the inner tube boundary, is studied numerically. The system of model equations of aqueous foam includes the laws of conservation of mass, momentum, energy of each phase and the equation for the dynamics of foam liquid fraction in a single-pressure, two-velocity, two-temperature approximations in a three-dimensional formulation and takes into account the interfacial drag forces and contact heat transfer. The thermodynamic properties of air and water are described by the realistic equations of state. The numerical solution of the problem is realized using the free software OpenFOAM. The reliability of calculations by the proposed model is confirmed by their agreement with literary experimental data. To assess the effectiveness of foam protection, the similar problem was solved about the spherical shock wave propagation in air in the absence of the foam layer. It is shown that the presence of the foam barrier reduces the velocity and amplitude of the shock wave, protecting the tube walls from the explosion impact.

Keywords: shock wave, aqueous foam layer, numerical simulation, OpenFOAM software.

Funding Agency Grant Number
Ministry of Science and Higher Education of the Russian Federation 024620190052
Russian Foundation for Basic Research 20-31-90013


DOI: https://doi.org/10.14529/mmp210109

Full text: PDF file (889 kB)
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UDC: 532.529.5
MSC: 76L04, 76T04, 76U04
Received: 16.09.2020

Citation: R. Kh. Bolotnova, E. F. Gainullina, “Modelling the dynamics of shock pulse in the tube with inner layer of aqueous foam”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:1 (2021), 118–125

Citation in format AMSBIB
\Bibitem{BolGai21}
\by R.~Kh.~Bolotnova, E.~F.~Gainullina
\paper Modelling the dynamics of shock pulse in the tube with inner layer of aqueous foam
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2021
\vol 14
\issue 1
\pages 118--125
\mathnet{http://mi.mathnet.ru/vyuru586}
\crossref{https://doi.org/10.14529/mmp210109}


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