Streamline Curvature Computing Procedures for Fluid-Flow Problems

Abstract

An attempt is made in this paper to develop forms of the equation of motion, the continuity equation, and the equations which define the fluid which are amenable to a solution by what has come to be termed “the streamline curvature approach.” The techniques were developed in their present form specifically as a result of the comparatively recent interest in the axial compressor for jet engines. Fluid fields, in general, can be considered to have different energy levels on differing surfaces, to be subject to boundary conditions which impose significant curvature accelerations, and to be rotational. An intelligent exploitation of the possibilities inherent in these degrees of flexibility can very significantly modify and improve the turbomachine; the techniques thereby become adaptable to other situations. It is part of the purpose of this paper to suggest that the technique has become sufficiently mature so that a careful appraisal of its relevance to areas other than turbomachinery is in order.