The slender body theory was applied to calculate axisymmetric bodies with negative pressure gradients at the surface to ensure an unseparated flow pattern and to improve cavitation inception characteristics. A method of calculating of axisymmetric and plane shapes in ideal compressible fluid, based on the potentials of sources and doublets located in the axis of symmetry is proposed. Experimental investigations of axisymmetric shapes with specific pressure distribution are reviewed. Some of such forms ensure unseparated flow pattern at relative small Reynolds numbers. Since the origin of cavitation on a smooth shape is connected with separation, presented bodies could ensure the flow of liquid without cavitation.
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