Natural Frequency of Oscillating Gaseous Bubbles in Ventilated Cavitation

An improved formula is proposed for the prediction of natural frequency of oscillating gaseous bubbles in the ventilated cavitation by considering the liquid compressibility and the thermal effects. The differences between the previous formula and ours are quantitatively discussed in terms of both dimensional parameters (e.g., frequency and bubble radius) and non-dimensional parameters (e.g., the Peclet number). Our analysis reveals that our formula is superior to the existing formula in the low-frequency excitation regions.