A shrouded fluid turbine includes a support structure, a nacelle body rotationally coupled to the support structure and configured to pivot about a pivot axis passing through the support structure, a rotor coupled to the nacelle body and having a rotor plane passing therethrough, the rotor plane being offset from the pivot axis, and an aerodynamically contoured turbine shroud surrounding the rotor and having a leading edge, a trailing edge and a plurality of mixing elements disposed therein. A center of pressure may be located downstream of the rotor plane with respect to direction of a fluid flow, and a combination of the nacelle body, the rotor, and the aerodynamically contoured turbine shroud may be configured to pivot about the pivot axis in response to a force exerted on the combination by the fluid flow such that the leading edge faces into the direction of the fluid flow.