Numerical Solution of Rare Metal Leaching Problem

  • Authors

    • Oleg V. Galtsev
    • Oksana A. Galtseva
    • Vladimir A. Belenko
    • Alexander V. Mamatov
    • Alexander N. Nemtsev
    • Vadim V. Mishunin
    2018-12-01
    https://doi.org/10.14419/ijet.v7i4.36.22703
  •  It is well known that a lot of chemical and physical processes take place on the surfaces of interaction between solid and liquid substances. These processes include a very important technological process of uranium, nickel, copper, precious metal and other solid compound extraction - in-situ leaching. In this article we will rely on the mathematical description of these complex systems proposed by A.M. Meirmanov, where the main idea is the presence of new conditions on a free (unknown) boundary between liquid and solid phases (“pore space - solid skeletonâ€). These conditions express the usual laws of mass conservation of mass and the development of the mathematical model describing the processes at the macroscopic level. The method proposed in the book allows us to study numerically the dependence ways of free boundary dynamics on a heterogeneous solution distribution velocity and external parameters (reagent temperature, pressure and concentration).

  • References

    1. [1] Meirmanov, A.M., Galtsev, O.V. and Zimin, R.N., 2017. Free Boundaries in Rock Mechanics. Berlin-New York: Walter de Gruyter: 229.

      [2] Meirmanov, A., Omarov, N., Tcheverda, V. and Zhumaly, A., 2015. Mesoscopic dynamics of solid-liquid interfaces. A general mathematical model. Siberian Electronic Mathematical report, 12: 884-900.

      [3] Meirmanov, A., 2013. Mathematical models for poroelastic flows. Atlantis Press, Paris.

      [4] O’Dea, R.D., Nelson, M.R., El Haj, A.J., Waters, S.L. and Byrne, H.M., 2015. A multiscale analysis of nutrient transport and biological tissue growth in vitro. Math. Med. Biol.,32(3): 311 - 26.

      [5] Malvern, L.E., 1935. Introduction to Mechanics of a Continuum Medium. Prentice-Hall, Inc. Englewood Cliffs, N.J.

      [6] Brady, P.V. and House, W. A., 1996. Surface-controlled dissolution and growth of minerals. Physics and chemistry of mineral surfaces: 226 – 298.

      [7] Kenneth, W.W., Raymond, E.D., Larry, M.P. and Stanley, G.G., 2014. Chemistry (10th ed.). Belmont, CA: Brooks.

      [8] Harlow, F.H., Welch, J.E., 1931. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Physics of fluids, 8(12):2182.

      [9] Panga, M.K., Ziauddin, M. and Balakotaiah, V., 2005. Two-scale continuum model for simulation of wormholes incarbonate acidization. A.I.Ch.E.Journal: 3231 - 3248.

      [10] Burridge, R., Keller, J.B., 1981. Poroelasticity equations derived from microstructure. Journal of Acoustic Society of America: 1140 - 1146.

      [11] Sanchez-Palencia, E., 1980. Non-Homogeneous Media and Vibration Theory. Lecture Notes in Physics, Springer-Verlag, New York: 129.

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  • How to Cite

    Galtsev, O. V., Galtseva, O. A., Belenko, V. A., Mamatov, A. V., Nemtsev, A. N., & Mishunin, V. V. (2018). Numerical Solution of Rare Metal Leaching Problem. International Journal of Engineering & Technology, 7(4.36), 5-9. https://doi.org/10.14419/ijet.v7i4.36.22703