Marginally turbulent MHD flow in a square duct

Direct numerical simulation of turbulent flow in a straight square duct was performed in the spanwise magnetic field. Without magnetic field the turbulence can be maintained for values of the bulk Reynolds number above approximately Re = 1077 [1]. In the magnetohydrodynamic case that minimal value of the bulk Reynolds number increases with the Hartmann number. For example the flow is laminar at Re = 3000 when the Hartmann number is larger than approximately Ha = 12.3 and the flow is turbulent when the Hartmann number is equal all smaller than Ha = 12.15. The secondary mean flow structure is analyzed.