Dimensional analysis is performed for compressible flow covering non-perfect gas dynamics to define appropriate similarity numbers for organic vapor flows and corresponding turbomachinery performance. The Buckingham-Rayleigh theorem states that the compressibility factor Z is not a primary similarity number for organic vapor flows. At least one new similarity number is required for organic vapor flows in addition to the conventional perfect gas similarity numbers. As a limit case of
the new dimensional analysis, the well-known similarity numbers for a perfect gas result, and then the
isentropic exponent-similarity follows. The theoretical analysis is applied to flow applications utilizing the closed-loop organic vapor wind tunnel test facility CLOWT at Muenster University of Applied Sciences. These applications cover the experimental investigation of the flow of an organic vapor past a circular cylinder and a centrifugal organic vapor compressor's performance. The outcome of the considered test cases supports the main findings of the dimensional analysis.
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