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On equations of a one-velocity heterogeneous medium

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Journal of Engineering Physics and Thermophysics Aims and scope

An analysis is made of equations of the one-velocity model of a heterogeneous mixture; in them, the internal interfractional-interaction forces and heat- and mass-exchange processes are allowed for. The characteristic equations and relations along the characteristic directions are found. It is shown that equations of the medium’s model, in which the interfractional-interaction forces are allowed for, belong to a hyperbolic type. A number of finite-difference and finite-volume schemes meant for integration of the model’s equations are considered.

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References

  1. V. V. Fisenko, Heat-Transfer-Agent Compressibility and Performance of the NEP Circulation Loops [in Russian], Énergoatomizdat, Moscow (1987).

    Google Scholar 

  2. R. I. Nigmatulin, Dynamics of Multiphase Media [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  3. V. S. Surov, One-velocity model of a heterogeneous medium, Mat. Modelir., 13, No. 10, 27–42 (2001).

    MATH  MathSciNet  Google Scholar 

  4. V. S. Surov, The Busemann flow for a one-velocity model of a heterogeneous medium, Inzh.-Fiz. Zh., 80, No. 4, 45–51 (2007).

    Google Scholar 

  5. A. G. Kulikovskii, N. V. Pogorelov, and A. Yu. Semenov, Mathematical Problems of the Numerical Solution of Hyperbolic Systems of Equations [in Russian], Fizmatlit, Moscow (2001).

    Google Scholar 

  6. V. S. Surov, The Riemann problem for a one-velocity model of a heterogeneous medium, Inzh.-Fiz. Zh., 81, No. 6, 1133–1141 (2008).

    Google Scholar 

  7. V. P. Goloviznin, A. I. Zhmakin, and A. A. Fursenko, On a certain method of calculation of nonstationary interactions of shock waves, Zh. Vych. Mat. Mat. Fiz., 22, No. 2, 484–488 (1982).

    Google Scholar 

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Correspondence to V. S. Surov.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 82, No. 1, pp. 75–84, January–February, 2009.

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Surov, V.S. On equations of a one-velocity heterogeneous medium. J Eng Phys Thermophy 82, 75–84 (2009). https://doi.org/10.1007/s10891-009-0163-3

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  • DOI: https://doi.org/10.1007/s10891-009-0163-3

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