On modeling and eddy-resolving simulations of flow, turbulence, mixing and heat transfer of electrically conducting and magnetizing fluids: A review

The paper provides a concise review of previous and current trends in modeling and simulations of flow and heat transfer of electrically conducting and magnetizing fluids. For the electrically conducting fluids, the focus is on modeling of the interactions between velocity fluctuations and imposed magnetic field (magnetohydrodynamic (MHD) turbulence). We address the most commonly used approaches to simulate the MHD turbulent flows: the single-point Reynolds-Averaged Navier-Stokes (RANS) and eddy-resolving approach. The former includes the second-moment closures with additional terms due to the presence of the Lorentz force and its eddy-viscosity based simplifications. The latter covers direct numerical resolving (DNS), large-eddy (LES) and very-large eddy (VLES) simulation methods, and their verification with available experiments. Within this framework, we present some of our previous and current achievements dealing with applications of the (electro)magnetic control of flow, heat transfer and mixing. Application examples are selected to cover a wide range of interacting parameters for both electrically conducting and magnetizing fluids, in laminar, transient and fully developed turbulent regimes (including also one- and two-way coupled MHD phenomena).