Turbulent heat and momentum transfer for electrically conducting fluid flowing in two-dimensional channel under transverse magnetic field

A heat-and momentum-transfer analysis is performed for the fully developed turbulent MHD flow of an electrically conducting fluid in a two-dimensional constant-area channel. It is assumed that a uniform magnetic field perpendicular to the insulated channel walls exists in the channel. A mathematical model of turbulence, which takes into account the suppression of turbulence by the magnetic field, is proposed for the prediction of the momentum transfer. The analytical results for skin-friction coefficients, mean velocity profiles, the distributions of eddy diffusivity, and of turbulent kinetic energy show good agreement with the relevant experimental data in the Reynolds number range from 50,000 to 200,000 and the Hartmann number range from 0 to 700. For the heat-transfer analysis, a case of constant wall heat flux is treated, and the tendency of the reduction of heat-transfer rate by the magnetic field shows good qualitative agreement with the experimental results