Skip to main content
SpringerLink
Log in

Separation of Low-Melting Metal Melts in a Thin Inclined Capillary

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

Direct numerical simulation of the process of separation of binary low-melting metal melts in a thin nonuniformly heated inclined capillary is carried out. A physical model which describes the macroscopic motion in the melt and the process of separation of the liquid mixture in components is constructed on the basis of laws and equations valid for the multiphase hydrodynamic systems. The calculation results are compared with the experimental data. The separation time is compared for various angles of inclination of the layer, the characteristic concentration fork which demonstrates separation dynamics is reproduced, and the qualitative agreement with the experiment is obtained for the component concentrations in the cross-section. In the course of numerical simulation, that replicates the succession of experimental actions with the maximum precision, the presence of the specific maximum for the difference between the end-face concentrations at a certain angle of inclination of the channel is confirmed. The radical difference between the calculation results obtained within the framework of the model considered and the conclusions made earlier in explanation of the experiment by other authors is demonstrated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. A. Demin, “Convective separators,” Prikladnaya Fizika 4, 60–67 (2013).

    Google Scholar 

  2. A. A. Glukhov, V. A. Demin, and A. V. Tret’yakov, “Effect of thermodiffusion on redistribution of an admixture in cooling a binary liquid column,” Izv. Tomsk. Politekhn. Univ. Inzhiniring Georesursov 326 (11), 118–127 (2015). doi: 10.17223/19988621/48/6.

    Google Scholar 

  3. I. V. Gavrilin, T. B. Frolova, and V. P. Zakharov, “Liquation in liquid eutectic melts,” Izv. AN SSSR, Metally 3, 191–193 (1984).

    Google Scholar 

  4. I. V. Gavrilin, “Sedimentation experiment in studying liquid alloys,” Izv. AN SSSR, Metally 2, 66–73 (1985).

    Google Scholar 

  5. N. P. Uglev and E. I. Dubrovina, “Radial distribution of the components in layering of metal melts in capillaries,” Vestn. PNIPU. Ser. Khim. Tekhnologiya i Biotekhnologiya 1, 50–59 (2015).

    Google Scholar 

  6. G. Z. Gershuni and E. M. Zhukhovitskii, Convective Instability of Incompressible Fluids (Nauka, Moscow, 1972) [in Russian].

    Google Scholar 

  7. V. A. Demin, A. I. Mizev, and M. I. Petukhov, “On Thermocapillary mechanism of spatial separation of metal melts,” Microgravity Science and Techn. 30 (1–2), 69–76 (2018). DOI: 10.1007/s12217-017-9576-3.

    Article  ADS  Google Scholar 

  8. V. A. Demin, A. I. Mizev, M. I. Petukhov, and A. V. Shmyrov, “Unusual behavior of the Al–Si alloy in thin capillaries,” Vestn. Perm. Universiteta. Fizika 1 (39), 26–35 (2018). doi: 10.17072/1994-3598-2018-1-26-35.

    Google Scholar 

  9. P. G. De Gennes, “Wetting: Statics and dynamics,” Rev. Mod. Phys. 57, 827–863 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  10. A. Mongruel, Th. Chastel, E. S. Asmolov, and O. I. Vinogradova, “Effective hydrodynamic boundary conditions for microtextured surfaces,” Phys. Rev. E. Statistical, Nonlinear and Soft Matter Physics. American Phys. Society 87, 011002(R) (2013). doi: 10.1103/PhysRevE.87.011002.

    Article  Google Scholar 

  11. O. I. Vinogradova and G. E. Yakubov, “Surface roughness and hydrodynamic boundary conditions,” Phys. Rev. E. Statistical, Nonlinear and Soft Matter Physics. American Phys. Society 73, 045302(R) (2006). DOI: 10.1103/PhysRevE.73.045302.

    Article  Google Scholar 

  12. N. P. Uglev, “Mechanism of partial layering of metal alloys in capillaries,” in: Physicochemical Aspects of Studying Clusters, Nonostructures, and Nanomaterials. Interuniversity Collected Articles, Issue 5, 343–353 (2013).

    Google Scholar 

  13. Yu. K. Bratukhin and S. O. Makarov, Hydrodynamic Stability of Phase Interfaces (Izd. Permsk. Univ., Perm, 2005) [in Russian].

    Google Scholar 

  14. S. Slavtchev, M. Hennenberg, J.-C. Legros, and G. Lebon, “Stationary Solutal Marangoni Instability in a Two-Layer System,” J. Colloid and Interface Science 203 (2), 354–368 (1998). doi: 10.1006/jcis.1998.5525.

    Article  ADS  Google Scholar 

  15. E. L. Tarunin, Computational Experiment in Problems of Free Convection. Tutorial (Izd-vo Irkutsk. Univ., Irkutsk, 1990) [in Russian].

    Google Scholar 

  16. E. L. Tarunin, Two-Field Method of Solving the Hydrodynamic Problems. Tutorial for a Special Course (Izd-vo Permsk. Univ., Perm, 1985) [in Russian].

    Google Scholar 

Download references

Acknowledgements

The authors wish to thank sincerely the management and the employees of the “Parallel and Distributed Calculations” Scientific and Educational Center of the Perm State National Research University for the possibility to carry out the calculations using the “PGNIU–Kepler” supercomputer. The work was carried out with financial support from the Russian Foundation for Basic Research (project no. 16-01-00662a “Features of the Description of Thermocapillary Convection in Binary Systems of Fluids with a Surfactant”).

Author information

Authors and Affiliations

  1. Perm State National Research University, Perm, Russia

    V. A. Demin & M. I. Petukhov

  2. Institute of Continuous Media Mechanics of the Ural Branch of the Russian Academy of Sciences, Perm, Russia

    A. I. Mizev & A. V. Shmyrov

Authors
  1. V. A. Demin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. I. Mizev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. I. Petukhov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. V. Shmyrov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. A. Demin.

Additional information

Russian Text © The Author(s), 2019, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2019, No. 1, pp. 3–16.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Demin, V.A., Mizev, A.I., Petukhov, M.I. et al. Separation of Low-Melting Metal Melts in a Thin Inclined Capillary. Fluid Dyn 54, 1–13 (2019). https://doi.org/10.1134/S001546281901004X

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S001546281901004X

Keywords

Search

Navigation