Abstract
Guide vanes and impellers of turbomachinery operate in boundary layer due to the walls of casing and boss, and further operate in cavitating condition in high speed flow. From these circumstances, hydrodynamic characteristics are analyzed about a partially cavitating hydrofoil which is placed in boundary layer between parallel plane walls. By separation of variables for disturbance pressure, the governing equation is transformed into two problems, of which the one is that of wing sectional plane, the other that of spanwise direction. In the problem of the sectional plane, a simultaneous integral equation is derived and solved by series expansion method. The problem of spanwise direction is reduced to the eigenvalue problem of Sturm-Liouville type which is numerically solved by finite difference method. These two kinds of solution are linearly combined in order to obtain the hydrodynamic characteristics.
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