The radial-equilibrium equation is discussed with regard to turbomachinery. The complete equation is derived for nonviscous flow and the simplifications are indicated. Five different techniques for the solution of three-dimensional compressible flow in a duct are examined in detail. A comparison with M. Vavra's results (11) is given for an accelerating bend with axisymmetric flow. The inlet to an annular wind tunnel is examined for different swirl velocities. Listings of the programs and printed output are included.