B1 せん断流中における三次元スーパーキャビテーション翼列の解析法

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  • B1 Analytical Method of Three Dimensional Supercavitating Cascade in Shear Flow

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An analytical method of a three-dimensional cascade with supercavitation in spanwise shear flow between two parallel plane walls is presented. An equation of motion with respect to disturbance pressure is transformed into two problems by separation of variables. One of them is that of spanwise direction and the other is that of sectional plane of a hydrofoil. For the problem of the spanwise direction, an existing analytical solution is adopted. The problem of sectional plane of the hydrofoil is reduced to a simultaneous integral equation with respect to singularity distributions and is solved by using the analytical method previously proposed by the author for the three-dimensional cascade without cavitation. These two kinds of solutions corresponding to individual eigenvalues are combined linerly, and expressions of the cascade and cavity characteristics are obtained. Numerical calculations are carried out to clarify the characteristics.

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