THERMAL SCIENCE
International Scientific Journal
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 OpenFOAM CFD-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 < Ha < < 75 at Re = 6675. The trend can be approximated via an exponential of the form exp(−a·Ha), where a is a scaling parameter. At higher Hartmann numbers the fluctuations decrease in an almost linear way. Therefore, the results of this study show that it may be possible to construct a general law for the turbulence damping due to action of magnetic fields.
KEYWORDS
PAPER SUBMITTED: 2016-12-15
PAPER REVISED: 1970-01-01
PAPER ACCEPTED: 2017-02-20
PUBLISHED ONLINE: 2017-04-08
THERMAL SCIENCE YEAR
2017, VOLUME
21, ISSUE
Supplement 3, PAGES [S617 - S628]
- Hartmann, J., Lazarus F., Hg-dynamics II Experimental Investigations on the Flow of Mercury in a Homogeneous Magnetic Field, Levin & Munksgaard, Copenagen, Denmark, 1937
- 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
- Moloko, S., Reed, C.B., Review of Free-surface MHD Experiments and Modeling)
- Fautrelle, et. al., Free-surface Horizontal Waves Generated by Low-frequency Alternating Magnetic Fields, J. Fluid Mech., 527 (1999), pp. 285-301
- 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
- Vorobev, A., et. al., Anisotropy of Magnetohydrodynamic Turbulence at Low Magnetic Reynolds Number, Phys. Fluids, 17 (2005), pp. 125105-1-125105-12
- 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
- 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
- Krasnov, D.S., et. al.,, Numerical Study of the Instability of the Hartmann Layer, J. Fluid Mech., 504 (1999), pp. 183-211
- Lee, D., Choi, H., Magnetohydrodynamic Turbulent Flow in a Channel at low Magnetic Reynolds Number, J. Fluid Mech., 439 (2001), pp. 367-394
- 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
- Shimomura, Y., Large Eddy Simulation of Magnetohydrodynamic Turbulent Channel Flows under a Uniform Magnetic Field, Phys. Fluids A, 3 (1991), 12, pp. 3098-3106
- 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
- Knaepen, B., Moin, P., Large-eddy Simulation of Conductive Flows at Low Magnetic Reynolds Number, Phys. Fluids, 16 (2004), 5, pp. 1255-1261
- 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
- Shercliff, J.A., A Textbook of Magnetohydrodynamics, Pergamon Press, Oxford, UK, 1965
- Davidson, P.A., An Introduction to Magnetohydrodynamics, Cambridge Univ. Press, Cambridge, UK, 2001.
- Müller, U., Bühler, L., Magnetofluiddynamics in Channels and Containers, Springer, Berlin, Germany, 2001.
- 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.
- Ben Salah, N., et. al., A Finite Element Method for Magnetohydrodynamics, Computer Methods in Applied Mechanics and Engineering, 190 (2001), pp. 5867-5892.
- Horiuti, K., Large Eddy Simulation of Turbulent Channel Flow by One-Equation Modeling, J. Phys. Soc. Jpn., 54 (1985), pp. 2855-2865
- Fureby, C., Large Eddy Simulation of Magnetohydrodynamics, FOA, Stockholm, Sweden, 2000
- Germano, M., et. al., A Dynamic Subgrid-scale Eddy Viscosity Model, Phys. Fluids A, 3 (1991), 7, pp. 1760-1765
- Lilly, D.K., A Proposed Modification of the Germano Subgrid-scale Closure Method, Phys. Fluids A, 4 (1992), 3, pp. 633-635
- Issa, R.I., Solution of the Implicitly Discretised Fluid Flow Equations by Operator-splitting, Journal of Computational Physics, 62 (1986), pp. 40-65
- Jasak, H., Error Analysis and Estimation for the Finite Volume Methode with Applications to Fluid Flows, Ph. D. thesis, Imperial College, London, UK, 1996
- Ferziger, J.H., Perić, M., Computational Methods for Fluid Dynamics, Springer, Berlin, 1997
- Versteeg, H.K., Malalasekera, W., An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Pearson/Prentice Hall, UK, 2005
- 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
- Kenjereš, S., et. al., A Direct-numerical-simulation-based Second-moment Closure for Turbulent Magnetohydrodynamic Flows, Phys. Fluids, 16 (2004), 5, pp. 1229-1241
- Krasnov, D., et. al.., MagnetohydrodynamicTurbulence in a Channel with Spanwise Magnetic Field, Phys. Fluids, 20 (2008), 9, pp. 095105-1-095105-19
- Krasnov, D., et. al.,, MHD turbulence in a channel with spanwise field, WILEY-VCH Verlag, 2008