Steady-state flows in a visco-resistive magnetohydrodynamic model of tokamak plasmas with inhomogeneous heating

The axisymmetric visco-resistive magnetohydrodynamic steady states allowing flows (i.e. non-vanishing velocity fields) are computed for a toroidal JET-like geometry. It is shown that spatially inhomogeneous heating of moderate magnitude leads to an increase typical speeds with respect the situation uniform temperature identical mean Hartmann numbers. A symmetry argument introduced capture breaking, induced by gradient, produces net plasma flow.