Abstract
Liquid metals such as mercury are weakly electrically-conducting fluids, and their motions are described by magnetohydrodynamics. These magnetohydrodynamic (MHD) fluids have many applications to engineering devices: their dynamics are very important in designing liquid metal pumps, electromagnetic flow meters, MHD power generators (Yakhot & Branover 1982), liquid metal heat exchangers in nuclear fusion reactors (Shercliff 1979), and some kinds of crystal pullers (Hjellming & Walker 1987). For pure scientific research, these MHD fluids are known to be good candidates to make two-dimensional turbulence in laboratory experiments (Schumann 1976; Sommeria &Moreau 1982).
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References
Bradshaw, P., Cebeci, T. & Whitelaw, J.H. 1981 Engineering Calculation Methods for Turbulent Flow. Academic.
Brouillette, E.C. & Lykoudis, P.S. 1967 Magneto-fluid-mechanic channel flow. I. Experiment. Phys. Fluids 10, 995–1001.
Hjellming, L.N. & Walker, J.S. 1987 Melt motion in a Czochralski crystal puller with an axial magnetic field: motion due to buoyancy and thermocapillarity. J. Fluid Mech. 182, 335–368.
Horiuti, K. 1987 Comparison of conservative and rotational forms in large eddy simulation of turbulent channel flow. J. Comput. Phys 71, 343–370.
Kline, S.J., Reynolds, W.C., Schraub, F.A. & Runstadler, P.W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741–773.
Moin, P. & Kim, J. 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341–377.
Moin, P. & Kim, J. 1985 The structure of the vorticity field in turbulent channel flow. Part 1. Analysis of instantaneous fields and statistical correlations. J. Fluid Mech. 155, 441–464.
Rogallo, R.S. & Moin, P. 1984 Numerical simulation of turbulent flows. Ann. Rev. Fluid Mech. 16, 99–137.
Schumann, U. 1976 Numerical simulation of the transition from three-to two-dimensional turbulence under a uniform magnetic field. J. Fluid Mech. 74, 31–58.
Shercliff, J.A. 1979 Thermoelectric magnetohydrodynamics. J. Fluid Mech. 91, 231–251.
Shimomura, Y. 1988 Statistical analysis of magnetohydrodynamic turbulent shear flows at low magnetic Reynolds number. J. Phys. Soc. Jpn. 57, 2365–2385.
Sommeria, J. & Moreau, R. 1982 Why, how, and when, MHD turbulence becomes two-dimensional. J. Fluid Mech. 118, 507–518.
Speziale, C.G. 1985 Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence. J. Fluid Mech. 156, 55–62.
Willmarth, W.W. & Tu, B.J. 1967 Structure of turbulence in the boundary layer near the wall. Phys. Fluids 10, S134 - S137.
Yakhot, A. & Branover, H. 1982 An analytical model of a two-phase liquid metal magnetohydrodynamic generator. Phys. Fluids 25, 446–451
Yoshizawa, A. 1984 Statistical analysis of the deviation of the Reynolds stress from its eddy viscosity representation. Phys. Fluids 27, 1377–1387.
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© 1991 Springer Science+Business Media Dordrecht
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Shimomura, Y. (1991). Large-eddy simulation of MHD turbulent channel flow under a uniform magnetic field. In: Metais, O., Lesieur, M. (eds) Turbulence and Coherent Structures. Fluid Mechanics and Its Applications, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7904-9_33
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DOI: https://doi.org/10.1007/978-94-015-7904-9_33
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