回転する環状翼列における循環の半径方向最適分布 : ポテンシャル流れにおける厳密解と近似解

概要

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The optimum radial distribution for the circulation of the blade element of the annular rotor cascade in concentric cylinder is treated analytically in potential flow and examined by numerical examples. The main contents are as follows : (1) The exact solution is derived for the velocity potential of the helically trailing vortex sheets in concentric cylinders and then treated by asymptotic expansions. (2) An approximate solution is also proposed by the conformal mapping for two-dimensional flow within straight passage with an infinite series of vortex sheets perpendicular to the hub. (3) The radial distribution of circulation, translational axial velocity and kinetic energy of the trailing vortex sheets are clarified in optimum conditions through some numerical examples and in particular, the hub and tip clearance effects are discussed concretely. Furthermore the accuracy of the approximate solution is considered from comparisons with the exact one.
一般社団法人日本機械学会の論文
1992-09-25