Toroidal formulation of nonlinear-rf-driven flows

The nonlinear forces generated by localized rf absorption near a resonance layer can be employed to drive flows in a tokamak plasma. The present paper extends previous work to enable (i) an evaluation of localized (in radius) poloidal and toroidal forces caused by rf absorption, (ii) a rigorous calculation of the resulting poloidal and toroidal flow rates in the presence of damping due to plasma viscosity and a phenomenological radial diffusion of momentum, and (iii) implicit treatment of ambipolarity issues in the presence of rf-generated forces. A rigorous result for the steady state poloidal flow that results from balancing plasma viscosity with the rf forces is obtained. Numerical results are presented for the case of ion Bernstein wave interaction within a narrow resonant ion-cyclotron layer where the wave absorption and rf forces occur.