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Fizika Goreniya i Vzryva, 2012, Volume 48, Issue 4, Pages 114–122 (Mi fgv1028)  

Shock-wave front thickness in a liquid estimated on the basis of the Navier–Stokes equations using a modified van der Waals model

A. B. Medvedev

Institute of Experimental Physics (VNIIEF), Russian Federal Nuclear Center, Sarov, 607188, Russia
Abstract: Stationary plane shock-wave profiles in liquid argon are calculated by solution of the Navier–Stokes equations with the use of the equation of state and transport coefficients defined by a modified van der Waals model. The results are compared with previous molecular dynamics calculations and calculations based on the Navier–Stokes solution with the use of the Lennard–Jones potential. Their good agreement is shown in the pressure range $\approx$1–40 GPa. Apparently, for other simple liquids, the accuracy of estimates of the shock-wave thickness is expected to be the similar to that for argon. An advantage of this approach is the relative simplicity of the expressions for the thermodynamic and kinetic characteristics of the liquid, whose parameters can be easily calibrated base on available experimental data on compressibility.
Keywords: liquid, equation of state, viscosity, thermal conductivity, van der Waals model, shock wave.
Received: 20.04.2011
English version:
Combustion, Explosion and Shock Waves, 2012, Volume 48, Issue 4, Pages 475–482
DOI: https://doi.org/10.1134/S0010508212040144
Bibliographic databases:
Document Type: Article
UDC: 532.593
Language: Russian
Citation: A. B. Medvedev, “Shock-wave front thickness in a liquid estimated on the basis of the Navier–Stokes equations using a modified van der Waals model”, Fizika Goreniya i Vzryva, 48:4 (2012), 114–122; Combustion, Explosion and Shock Waves, 48:4 (2012), 475–482
Citation in format AMSBIB
\Bibitem{Med12}
\by A.~B.~Medvedev
\paper Shock-wave front thickness in a liquid estimated on the basis of the Navier--Stokes equations using a modified van der Waals model
\jour Fizika Goreniya i Vzryva
\yr 2012
\vol 48
\issue 4
\pages 114--122
\mathnet{http://mi.mathnet.ru/fgv1028}
\elib{https://elibrary.ru/item.asp?id=17974571}
\transl
\jour Combustion, Explosion and Shock Waves
\yr 2012
\vol 48
\issue 4
\pages 475--482
\crossref{https://doi.org/10.1134/S0010508212040144}
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