The effect of finite plasma rotation on the equilibrium of an axisymmetric
toroidal magnetic trap is investigated. The nonlinear vector equations
describing the equilibrium of a highly conducting, current-carrying plasma
are
reduced to a set of scalar partial differential equations. Based on Shafranov's
well-known tokamak model, this set of equations is employed for the description
of a kinetic (stationary) plasma equilibrium. Analytical expressions for
the
Shafranov shift Δ are found for the case of finite plasma rotation,
where two
regions of possible plasma equilibria are found corresponding to sub- and
super-Alfvénic poloidal rotation. The shift Δ itself,
however, turns out to depend
essentially on the toroidal rotation only. It is shown that in the case
of a
stationary plasma flow, the solution of the Grad–Shafranov equation
is at the
same time also the solution of the stationary Strauss equation.