On a Theoretical Treatment of Unsteady Cavitation (1st Report)

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In this report, a theoretical treatment of unsteady cavitation on a two-dimensional hydrofoil is discussed on the basis of the linearized theory. In the present theory, the following assumptions are introduced: (1) The dynamic effect on the pressure on the cavity surface is neglected following the Tulin-Hsu theory. (2) The cavity volume is calculated by using the volume-extent relation for the steady cavity. (3) The effect of trailing vortices due to the unsteady lift is neglected. (This may not introduce a significant error in the calculation of the unsteady cavitation on foils of a propeller behind a ship→the last part of §2) Numerical examples are shown for the leading edge cavitation on a flat foil and cambered foils. The results seem to be qualitatively correct. (1) The phase delay takes place because of the unsteadiness. (2) The growth of the cavity extent and volume is depressed under unsteady states. For the practical application of the present theory to a ship propeller in a wake, the unsteady cavitation calculation should be conducted for the equivalent sections. In this case, the angle of attack, camber and cavitation number change according to the angular position of the blade. This problem will be discussed in the next paper. And the formulation of the present problem is derived from the Kelvin-type variational problem, where the cavity end thickness is subjected to variation instead of the cavity extent.
社団法人日本船舶海洋工学会の論文
1981-08-27

On a Theoretical Treatment of Unsteady Cavitation (1st Report)

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