Designing Scrolls of Hydraulic Machines Based on the Equations of Flow Induced by a Vortex Sink Cylinder of Finite Length and Uniform Strength

Abstract

Aspects of designing scrolls of hydraulic machines based on the equations of potential flow induced by a vortex sink cylinder of finite length and uniform strength located on an impermeable cylinder of infinite length are discussed. The cross-section of such scrolls is drop-shaped, which is substantially different from the shapes currently used. Their dimensions are strongly dependent on the cone angles of the scroll and the flow direction at the leading edges of the guide vanes. The dimensions of the scroll do not depend on the output of the hydraulic machine and are less than those of scrolls of circular cross-section.