A NEW EXACT SOLUTION OF THE GENERALIZED GRAD-SHAFRANOV EQUATION

A new exact solution is obtained for an axisymmetric MHD configuration with stationary plasma flows. The solution is found under the assumpt ion that the dependence of velocity potential G (or Mach number M-a) o n magnetic potential Psi has a general form, i.e., it is an arbitrary differentiable function G(Psi). As in the static case, the solution fo und is self-similar because of the self-similar variable of the form t = r(2)/omega(z). It is shown that stationary plasma flows do not affe ct the geometric shape of the magnetic surfaces; however, they do affe ct the radial magnetic-field distribution: B-z similar to B-r similar to 1/root\1 - M-a(2)\. Possible applications of the solution obtained, in particular, to sunspots, are discussed.