Geodesic
Detection of a type of interphase interaction force for mathematical models of gas suspension with pair interaction
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 3, pp. 23-29

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Based on the analysis of invariance under Galilean transformations of a known mathematical model describing a two-phase medium flow, it was shown that despite the invariance of the equations for conservation of components, the resulting equation for conservation of total energy of the mixture is not reliable. The reasons for this discrepancy are thoroughly examined and eliminated. Functional dependence of the interphase interaction was determined for the obtained mathematical model of a two-phase medium.
Keywords: mathematical model; invariance; multi-component mixture. 
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     author = {Y. M. Kovalev},
     title = {Detection of a type of interphase interaction force for mathematical models of gas suspension with pair interaction},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {23--29},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2014_6_3_a2/}
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Y. M. Kovalev. Detection of a type of interphase interaction force for mathematical models of gas suspension with pair interaction. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 3, pp. 23-29. http://geodesic.mathdoc.fr/item/VYURM_2014_6_3_a2/