THERMAL SCIENCE

International Scientific Journal

Thermal Science - Online First

Authors of this Paper

External Links

online first only

Large-Eddy-Simulation of turbulent magnetohydrodynamic flows

ABSTRACT
A magnetohydrodynamic turbulent channel flow under the influence of a wallnormal magnetic field is investigated using the Large-Eddy-Simulation technique and k-equation subgrid-scale-model. Therefore, the new solver MHDpisoFoam is implemented in the OpenFOAMCFD-Code. The temporal decay of an initial turbulent field for different magnetic parameters is investigated. The rms values of the averaged velocity fluctuations show a similar, trend for each coordinate direction. 80% of the fluctuations are damped out in the range between 0 Keywords: magnetohydrodynamic, Hartmann flow, periodic channel flow, Large-Eddy-Simulation, k-equation subgrid-scale model, Open-FOAM, MHDpisoFoam
KEYWORDS
PAPER SUBMITTED: 2016-12-15
PAPER REVISED: 1970-01-01
PAPER ACCEPTED: 2017-02-20
PUBLISHED ONLINE: 2017-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI161215092W
REFERENCES
  1. Hartmann, J., Lazarus F., Hg-dynamics II Experimental Investigations on the Flow of Mercury in a Homogeneous Magnetic Field, Levin & Munksgaard, Copenagen, Denmark, 1937
  2. Hartmann, J., Hg-dynamics I. Theory of the Laminar Flow of an Electrically Conductive Liquid in a Homogeneous Magnetic Field, Levin & Munksgaard, Copenagen, Denmark, 1937
  3. Moloko, S., Reed, C.B., Review of Free-surface MHD Experiments and Modeling)
  4. Fautrelle, et. al., Free-surface Horizontal Waves Generated by Low-frequency Alternating Magnetic Fields, J. Fluid Mech., 527 (1999), pp. 285-301
  5. Andreev, O., et. al., Experimental Study of Lquid Metal Channel Flow under the Influence of a Nonuniform Magnetic Field, Physics of Fluids, 18 (2006), pp. 065108-1-065108-11
  6. Vorobev, A., et. al., Anisotropy of Magnetohydrodynamic Turbulence at Low Magnetic Reynolds Number, Phys. Fluids, 17 (2005), pp. 125105-1-125105-12
  7. Satake, S.-i., et. al., Advances in Direct Numerical Simulation for MHD Modeling of Free Surface Flows, Fusion Engineering and Design, 61-62 (2002), pp. 95-102
  8. Krasnov, D., et. al., Comparative Study of Finite Difference Approaches in Simulation of Magnetohydrodynamic Turbulence at Low Magnetic Reynolds Number, Computers & Fluids, 50 (2011), pp. 46-59
  9. Krasnov, D.S., et. al.,, Numerical Study of the Instability of the Hartmann Layer, J. Fluid Mech., 504 (1999), pp. 183-211
  10. Lee, D., Choi, H., Magnetohydrodynamic Turbulent Flow in a Channel at low Magnetic Reynolds Number, J. Fluid Mech., 439 (2001), pp. 367-394
  11. Dong, S., et. al., Secondary Energy Growth and Turbulence Suppression in Conducting Channel Flow with Streamwise Magnetic Field, Phys. Fluids, 24 (2012), pp. 074101-1-074101-19
  12. Shimomura, Y., Large Eddy Simulation of Magnetohydrodynamic Turbulent Channel Flows under a Uniform Magnetic Field, Phys. Fluids A, 3 (1991), 12, pp. 3098-3106
  13. Kobayashi, H., Large Eddy Simulation of Magnetohydrodynamic Turbulent Channel Flows with Local Subgrid-scale Model Based on Coherent Structures, Phys. Fluids, 18 (2006), pp. 045107-1-045107-10
  14. Knaepen, B., Moin, P., Large-eddy Simulation of Conductive Flows at Low Magnetic Reynolds Number, Phys. Fluids, 16 (2004), 5, pp. 1255-1261
  15. Sarris, I.E., et. al., Large-eddy Simulations of the Turbulent Hartmann Flow Close to the Transitional Regime, Phys. Fluids, 19 (2007), pp. 085109-1-085109-9
  16. Shercliff, J.A., A Textbook of Magnetohydrodynamics, Pergamon Press, Oxford, UK, 1965
  17. Davidson, P.A., An Introduction to Magnetohydrodynamics, Cambridge Univ. Press, Cambridge, UK, 2001.
  18. Müller, U., Bühler, L., Magnetofluiddynamics in Channels and Containers, Springer, Berlin, Germany, 2001.
  19. Brackbill, J., Barnes, D., The Effect of Nonzero div B on the Numerical Solution of the Magnetohydrodynamic Equations, Journal of Computational Physics, 35 (1980), pp. 426-430.
  20. Ben Salah, N., et. al., A Finite Element Method for Magnetohydrodynamics, Computer Methods in Applied Mechanics and Engineering, 190 (2001), pp. 5867-5892.
  21. Horiuti, K., Large Eddy Simulation of Turbulent Channel Flow by One-Equation Modeling, J. Phys. Soc. Jpn., 54 (1985), pp. 2855-2865
  22. Fureby, C., Large Eddy Simulation of Magnetohydrodynamics, FOA, Stockholm, Sweden, 2000
  23. Germano, M., et. al., A Dynamic Subgrid-scale Eddy Viscosity Model, Phys. Fluids A, 3 (1991), 7, pp. 1760-1765
  24. Lilly, D.K., A Proposed Modification of the Germano Subgrid-scale Closure Method, Phys. Fluids A, 4 (1992), 3, pp. 633-635
  25. Issa, R.I., Solution of the Implicitly Discretised Fluid Flow Equations by Operator-splitting, Journal of Computational Physics, 62 (1986), pp. 40-65
  26. Jasak, H., Error Analysis and Estimation for the Finite Volume Methode with Applications to Fluid Flows, Ph. D. thesis, Imperial College, London, UK, 1996
  27. Ferziger, J.H., Perić, M., Computational Methods for Fluid Dynamics, Springer, Berlin, 1997
  28. Versteeg, H.K., Malalasekera, W., An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Pearson/Prentice Hall, UK, 2005
  29. Rhie, C.M., Chow, W.L., Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation, AIAA Journal, 21 (1983), 11, pp. 1525-1532
  30. Kenjereš, S., et. al., A Direct-numerical-simulation-based Second-moment Closure for Turbulent Magnetohydrodynamic Flows, Phys. Fluids, 16 (2004), 5, pp. 1229-1241
  31. Krasnov, D., et. al.., MagnetohydrodynamicTurbulence in a Channel with Spanwise Magnetic Field, Phys. Fluids, 20 (2008), 9, pp. 095105-1-095105-19
  32. Krasnov, D., et. al.,, MHD turbulence in a channel with spanwise field, WILEY-VCH Verlag, 2008