It is proved that irrespective of compressibility tokamak steady states with purely poloidal mass flow can not exist in the framework of either magnetohydrodynamics (MHD) or Hall MHD models. Non-existence persists within single fluid plasma models with pressure anisotropy and incompressible flows.

We present a boundary control law that stabilizes the Hartman profile for low magnetic Reynolds numbers in an infinite magnetohydrodynamic (MHD) channel flow. The proposed control law achieves stability in the L2 norm of the linearized MHD equations, guaranteeing local stability for the fully nonlinear system. © 2008 Elsevier B.V. All rights reserved.

We present preliminary results from two computational magnetohydrodynamic (MHD) studies of magnetic nozzles. The first study models the magnetic nozzle expansion of a plasma into a near vacuum with a resistive MHD solver. Results from resistive MHD simulations suggest that further model development is necessary to replicate experimental results within the desired physical regime. The second stu...

The attractiveness of liquid metal blankets depends strongly on the degree of which peak pressures and temperatures can be controlled. These, in turn, are determined by the MHD pressure drop and velocity field. Accurate methods of predicting the pressure drop, velocity and temperature profiles in liquid metal blankets are necessary for blanket design and for plarming and analysis of experiments...

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...

The influence of a stationary mass flow on driven resonant MHD waves is studied for incoming slow and fast magnetosonic waves with frequencies in the slow and the Alfvén continua. In addition to the classic resonant absorption already present in a static plasma, driven resonant waves can also undergo overreflection. Depending on the strength of the equilibrium flow a variety of resonant MHD wav...

The combined effects of mass transfer and rotation on unsteady magnetohydrodynamic (MHD) free convection flow in a porous medium past an infinite inclined plate with ramped wall temperature has been investigated. The effects of thermal diffusion and heat absorption are also observed. Exact solution using Laplace transforms technique has been obtained for the velocity, temperature and concentrat...

We propose the generally covariant action for the theory of a self-coupled complex scalar field and electromagnetism which by virtue of constraints is equivalent, in the regime of long wavelengths, to perfect magnetohydrodynamics (MHD). We recover from it the Euler equation with Lorentz force, and the thermodynamic relations for a prefect fluid. The equation of state of the latter is related to...

The Hall effect in the magnetohydrodynamic (MHD) channel flow of a plasma leads to the presence of transverse Lorentz forces. The non-uniform distribution of these body forces may cause secondary flows to develop; these can exert a significant influence on the plasma momentum, thermal and electrical behaviour. The effect is predicted to be large for envisioned large-scale MHD devices. An experi...

In this paper, we report on numerical simulations of incompressible MagnetoHydroDdynamic flows by a two dimensional finite difference scheme associated to an appropriate projection method performed to characterize velocity-pressure formulations along the specified MHD duct by solving the set of differential equations of magnetohydrodynamics. In the present calculation, a working electrolytic so...