Tokamak transport based on the Braginskii model

The two-fluid model of Braginskii is applied to the case of a moderately large tokamak. By estimation of the order of magnitude of the various effects and omission of small terms a somewhat simpler reduced two-fluid Braginskii model is obtained. The model applies on a time scale of order τemi/me, where τe is the electron-electron collision time, and energy confinement time is of this order. With electron and ion flow velocities no larger than is necessary to obtain the correct equilibrium currents, classical parallel viscosity becomes a dominant dissipative mechanism. The model allows for the slow evolution of equilibrium states. The equilibria, which include static, ideal magnetohydrodynamic equilibria as a special case, are described. Generally the number density, electrostatic potential, and flows are not constant on a flux surface. The procedure for determination of the slow evolution of the equilibrium is sketched. (orig.)