The optimal solidity problem of two-dimensional (2-D) compressor cascades is formulated as two nonlinear programming problems, in which either the profile losses are minimized or the blade loading is maximized subject to an inequality constraint on the equivalent diffusion ratio or diffusion factor (Lieblein, 1959, 1965). Analytical solutions to these two mathematical programming problems are obtained in form of simple formulae, which are very convenient for everyday practical use. A rational way for extending their application to 3-D compressor bladings is also suggested.

This content is only available via PDF.