Non-viscous liquid thin layer flow along rotating screw surface of constant stroke

The problem of ideal liquid thin layer radial flow under fixed relative displacement along a constant stroke inducer blade under no inlet circulation is being solved analytically. Under supercavitation conditions the liquid layer has a free surface attached to a cavern. During the flow liquid is considered to be a multitude of material points moving on the screw impeller surface. Solution of differential equations has been achieved by means of elliptical integrals of the first and the second kind; the solution is presented as a material points’ time-coordinates dependence. Rated correlation had been confirmed by the experimental research. It is shown that the flow extensivity and cavern dimensions do not influence the minimal possible cavitation reserve, but do influence the specific head under the supercavitation conditions.