One-dimensional flows in foamy and bubble gas–liquid mixtures have been investigated by the nodal method of characteristics with account for their viscous and heat-conducting properties.
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V. S. Surov, On reflection of an air shock wave from a layer of foam, Teplofiz. Vys. Temp., 38, No. 1, 101–110 (2000).
V. S. Surov, Calculation of the interaction of an air shock wave with a porous material, Vestn. Chelyabinsk. Gos. Univ., 6, No. 1, 124–134 (1997).
V. S. Surov, Analysis of wave phenomena in gas–liquid media, Teplofiz. Vys. Temp., 36, No. 4, 624–630 (1998).
V. S. Surov, On location of contact surfaces in multifluid hydrodynamics, Inzh.-Fiz. Zh., 83, No. 3, 518–527 (2010).
V. S. Surov, Nodal method of characteristics in multifluid hydrodynamics, Inzh.-Fiz. Zh., 86, No. 5, 1080–1086 (2013).
E. Goncalves, Numerical study of expansion tube problems: Toward the simulation of cavitation, Comput. Fluids, 72, 1–19 (2013).
S. Schoch, N. Nikiforakis, B. J. Lee, and R. Saurel, Multi-phase simulation of ammonium nitrate emulsion detonations, Combust. Flame, 160, 1883–1899 (2013).
V. S. Surov, The Busemann flow for a one-velocity model of a heterogeneous medium, Inzh. Fiz. Zh., 80, No. 4, 45–51 (2007).
J. Wackers and B. Koren, A fully conservative model for compressible two-fluid flow, J. Numer. Meth. Fluids, 47, 1337–1343 (2005).
A. Murrone and H. Guillard, A five equation reduced model for compressible two phase flow problems, J. Comput. Phys., 202, 664–698 (2005).
V. Deledicque and M. V. Papalexandris, A conservative approximation to compressible two-phase flow models in the stiff mechanical relaxation limit, J. Comput. Phys., 227, 9241–9270 (2008).
R. Saurel, F. Petitpas, and R. A. Berry, Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures, J. Comput. Phys., 228, 1678–1712 (2009).
J. J. Kreeft and B. Koren, A new formulation of Kapila’s five-equation model for compressible two-fluid flow and its numerical treatment, J. Comput. Phys., 229, 6220–6242 (2010).
C. Cattaneo, Surune forme de l’equation de la chaleur elinant le paradoxe d’une propagation instantance, CR. Acad. Sci., 247, 431–432 (1958).
A. A. Samarskii and Yu. P. Popov, Difference Methods of Solving Gas Dynamics Problems [in Russian], Nauka, Moscow (1980).
A. S. Lodge, Elastic Liquids [Russian translation], Nauka, Moscow (1969).
V. S. Surov, On a variant of the method of characteristics for calculating one-velocity flows of a multicomponent mixture, Inzh.-Fiz. Zh., 83, No. 2, 345–350 (2010).
V. S. Surov and E. N. Stepanenko, Grid method of characteristics for calculation of the flows of a one-velocity multicomponent heat-conducting medium, Vestn. Chelyabinsk. Gos. Univ., No. 24 (205), 15–22 (2010).
V. S. Surov, One-velocity model of a multicomponent heat-conducting medium, Inzh.-Fiz. Zh., 83, No. 1, 132–141 (2010).
A. G. Kulikovskii, N. V. Pogorelov, and A. Yu. Semenov, Mathematical Questions on the Numerical Solution of Hyperbolic Systems of Equations [in Russian], 2nd enlarged and revised edn., FIZMATLIT, Moscow (2012).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 87, No. 2, pp. 359–366, March–April, 2014.
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Surov, V.S. Calculating the Flows of a One-Velocity Viscous Heat-Conducting Mixture. J Eng Phys Thermophy 87, 367–375 (2014). https://doi.org/10.1007/s10891-014-1021-5
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DOI: https://doi.org/10.1007/s10891-014-1021-5