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The development of any inhomogeneous free-turbulence flow in an incompressible fluid is predicted through the use of a general self-preservation hypothesis. The analytical solutions are verified by comparison with experimental data on mean-flow and turbulence characteristics of plane and axisymmetric jets in coaxial parallel flow with and without confinement, of an axisymmetric jet in a cross flow, and of the wake behind a self-propelled body. Emphasis is placed on the distinct turbulence structure of the various flows as revealed by the different axial variations of a shear parameter relating turbulence shear to mean velocity. The satisfactory predictions obtained by the new approach make it appear to have a more general application (e.g., to plumes and wall jets) than the examples chosen might imply. (Author).