DNS and k–ɛ model simulation of MHD turbulent channel flows with heat transfer

In this study, the magneto-hydro-dynamic (MHD) pressure loss and heat-transfer characteristics of the low-magnetic Reynolds number and higher Prandtl number (Pr) fluid such as the FLiBe, were investigated by means of direct numerical simulation (DNS) and the evaluation of MHD turbulence models was also carried out in higher Reynolds number (Re) condition. As the results, the similarity-law between the velocity and the temperature profiles was not satisfied with increase of Hartman number (Ha) and was noticeable at the near critical Ha condition to maintain turbulent flow. In higher Re condition, MHD turbulence models coupled with k–ɛ model of turbulence can reproduce the MHD pressure loss trend with increase of Ha. However, the turbulent model which can consider the anisotropy of the Reynolds stresses and the local change of the turbulent Prandtl number might be required in the view point of quantitative prediction.