| Abstrakt: |
The variational problem of designing the slender airfoils of the plane cascade of an “impeller-directing vanes-unchoked convergent nozzle” system in a supersonic ideal (inviscid and non-heat-conducting) gas flow with a subsonic normal velocity component is solved in the linear approximation. The minimized functional is the axial component of the force acting on the system. The conditions to be met by the optimized airfoils include the specification of the projection of the force applied to the cascade onto the axis running parallel to its front, and the free stream condition. Flows past rather sparse cascades, whose “discontinuous characteristics” departing from the lower surface of an airfoil, do not impinge on the upper surface of the adjacent airfoil are considered. |
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