Abstract
Asymptotic formulas are obtained for calculating the shock-free entrance regime and the over-all circulation about profiles of circular, rotating, fairly dense, and fairly widely space cascades which are composed of segments of logarithmic spirals. The asymptotic formulas agree rather well with the exact formulas over a definite range of values of the parameter p which characterizes the cascade solidity.
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References
A. Busemann, “Das Förderhöhenverhältnis radialer Kreiselpumpen mit logarithmisch-spiraligen Schaufein”, ZAMM, vol. 8, no. 5, pp. 372–384, 1928.
G. I. Maikapar, “Analysis of circular cascades”, collection: Industrial Aerodynamics, No. 28 [in Russian], Mashinostroenie, Moscow, pp. 5–32, 1966.
T. S. Solomakhova, “Calculation of the aerodynamic characteristics of rotating circular cascades of logarithmic spiral profiles”, collection: Industrial Aerodynamics, No. 28 [in Russian], Mashinostroenie, Moscow, pp. 33–59, 1966.
W. Kucharski, “Strömungen einer Reibungsfreien Flüssigkeit bei Rotation fester Körper”, Munich, 1918.
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The author wishes to thank G. Yu. Stepanov for valuable comments made during the discussion of this study.
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Solomakhova, T.S. Use of asymptotic representations in calculating circular rotating cascades. Fluid Dyn 4, 84–85 (1969). https://doi.org/10.1007/BF01015964
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DOI: https://doi.org/10.1007/BF01015964