Abstract No.F180128-140

Author name(s): Kirill Rozhdestvensky

Company: Saint-Petersburg State Marine Technical University, Russia

This paper considers a simplified mathematical model of dynamics of a cavitation bubble in motion along a stream-line in immediate vicinity of a rounded leading edge of a wing foil of small relative thickness. Therewith the local flow field is constructed by means of asymptotic matching of linearized (outer) flow past a thin analytical foil of a given geometry with the local (inner) flow past a semi-infinite osculating parabola. Based on the assumption that the pressure outside of the bubble at any moment of time is equal to that at the corresponding point of the streamline, the problem of bubble dynamics is reduced to solving Rayleigh-Plesset equation for evolution of a spherical bubble in time-dependent pressure field. The approach is exemplified by some results of calculation of dynamics of a vapour bubble from the moment of inception to the moment of collapse in the vicinity of a rounded leading edge of elliptic foil at different magnitudes of angle of attack and relative thickness.

KEY WORDS: cavitating flow around wings; bubble cavitation; dynamics of cavitation bubbles

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