Abstract
In order to investigate a turbulence flow with a magnetohydrodynamic (MHD) effect, a formulation of k-ε modeling with the MHD effect and its numerical simulation for an infinite channel flow are presented. The k-ε equations derived here show that a magnetic field absorbs the turbulent energy k and its dissipation rate ε. The damping effect of the magnetic field on turbulence is shown by the result of numerical simulation.