Open AccessA direct-numerical-simulation-based second-moment closure for turbulent magnetohydrodynamic flows
Author(s) -
Saša Kenjereš,
K. Hanjalić,
Dharmendra Kumar Bal
Publication year - 2004
Publication title -
physics of fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.188
H-Index - 180
eISSN - 1089-7666
pISSN - 1070-6631
DOI - 10.1063/1.1649335
Subject(s) - physics , magnetohydrodynamics , turbulence , mechanics , magnetohydrodynamic drive , lorentz force , direct numerical simulation , reynolds stress , magnetohydrodynamic turbulence , anisotropy , classical mechanics , magnetic field , cauchy stress tensor , dissipation , large eddy simulation , reynolds number , thermodynamics , optics , quantum mechanics
A magnetic field, imposed on turbulent flow of an electrically conductive fluid, is known to cause preferential damping of the velocity and its fluctuations in the direction of Lorentz force, thus leading to an increase in stress anisotropy. Based on direct numerical simulations (DNS), we have developed a model of magnetohydrodynamic (MHD) interactions within the framework of the second-moment turbulence closure. The MHD effects are accounted for in the transport equations for the turbulent stress tensor and energy dissipation rate—both incorporating also viscous and wall-vicinity nonviscous modifications. The validation of the model in plane channel flows with different orientation of the imposed magnetic field against the available DNS (Re = 4600,Ha = 6), large eddy simulation (Re = 2.9×104,Ha = 52.5,125) and experimental data (Re = 5.05×104 and Re = 9×104, 0 ? Ha ? 400), show good agreement for all considered situations
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