せん断流中においてスーパーキャビテーションを伴う三次元翼列の理論

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  • Theory of a Three Dimensional Supercavitating Cascade in Shear Flow

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A theory of a three-dimensional supercavitating cascade in spanwise shear flow between two parallel planes 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 first author for the three-dimensional cascade without cavitation. These two kinds of solutions corresponding to individual eigenvalues are combined linearly, and expressions of the cascade and cavity characteristics are obtained. Numerical calculations are carried out to clarify the characteristics.

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