Abstract

A three-dimensional linear analysis is carried out using a finite-span cascade model to investigate three-dimensional effects of cavitation on rotating cavitation in inducers. It is assumed that the fluctuations of the flow fields consist of 0th- and 1st-order modes in the spanwise direction. It is shown that there are 4 modes of instabilities corresponding to rotating cavitation : two of them are forward-travelling modes and the other two modes are backward-travelling ones. Both the forward- and backward-travelling modes include one mode in which the disturbances are nearly constant in the spanwise direction : the 0th-order radial mode. This corresponds to the mode predicted by a previous 2-D linear analysis, and is found to be only weakly influenced by the three-dimensionality of cavitation. For the other modes in the forward- or backward-travelling modes, the disturbances change significantly in the spanwise direction : the 1st-order radial mode. It is shown that the 1st-order radial modes have a larger unstable region than the 0th-order radial modes.

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