Magnetohydrodynamic treatment of collisional transport in toroidal configurations: Application to elliptic cross sections

Transport in the collisional regime is analyzed here for tokamaks and compa ct toroid of any shape. Toroidal axisymmetry is assumed. The treatment is p erformed with an improved system of coordinates, here described. Pfirsch-Sc hluter current is determined in a general case. The average velocity around a magnetic surface is found as a function of closed geometrical integrals and separated factors that include the electric and magnetic fields. The co ntribution of the induced electric field E-Phi is analyzed and the similari ties with the Ware pinch are shown. The general equations have been applied to families of nested curves with elliptic shapes. (C) 2000 American Insti tute of Physics. [S1070- 664X(00)02106-6].