Magnetohydrodynamics (MHD) provides a convenient, programmable means for propelling liquids and controlling fluid flow in microfluidic devices without a need for mechanical pumps and valves. When the magnetic field is uniform and the electric field in the electrolyte solution is confined to a plane that is perpendicular to the direction of the magnetic field, the Lorentz body force is irrotatio...

MHD flows are governed by the Navier-Stokes equations coupled with the Maxwell equations. Broadly, MHD flows in astrophysics occur at large magnetic Reynolds numbers while those in terrestrial applications, such as liquid metals, occur at small magnetic Reynolds numbers, the case considered herein. The physical processes of fluid flows and electricity and magnetism are quite different and numer...

In this proceeding I present recent works dealing with MHD simulations describing resistive accretion disks continuously launching large-scale, self-collimated MHD jets. In particular, I discuss the physical conditions required to produce these outflows and the related numerical issues. As an illustration I also present axisymmetric MHD numerical simulations of such accretion-ejection engines, ...

Weconsider liquid-metal free-surface flows subject to a strongmagnetic field, including film, droplet and jet flows, as potential means to remove high heat fluxes of (5–15)·106 W/m or larger in fusion applications. These considerations are partially based on the earlier experimental studies of free-surface flows performed in the Tokomak-3 reactor in the city of Shatura, Russia. We also review r...

In the framework of the variational principle there are introduced canonical variables describing magnetohydrodynamic (MHD) flows of general type without any restrictions for invariants of the motion. It is shown that the velocity representation of the Clebsch type introduced by means of the variational principle with constraints is equivalent to the representation following from the generaliza...

this article deals with the study of the two-dimensional mixed convection magnetohydrodynamic (mhd) boundary layer of stagnation-point flow over a stretching vertical plate in porous medium filled with a nanofluid. the model used for the nanofluid incorporates the effects of brownian motion and thermophoresis in the presence of thermal radiation. the skin-friction coefficient, nusselt number an...

In this paper, an approach to simulating magnetohydrodynamic (MHD) flows based on the lattice Boltzmann method (LBM) is presented. The dynamics of the flow are simulated using a so-called multiple relaxation time (MRT) lattice Boltzmann equation (LBE), in which a source term is included for the Lorentz force. The evolution of the magnetic induction is represented by introducing a vector distrib...

We developed a three dimensional linear code for simulations of MHD waves in a gravitationally stratified medium with strong gradients of pressure and density in the presence of non-uniform background magnetic field and background flows. The code is suitable for analysis of excitation, propagation, and transformation of MHD waves in realistic models of sunspots. Such a code can be used for prod...