The Pulsation Frequency of Nonspherical Gas Bubbles in Liquids

The effect of nonspherical shape on the pulsation frequency of a gas bubble in a liquid is calculated. The frequency is expressed in terms of a stiffness constant independent of shape and an inertial constant mathematically equivalent to the reciprocal of the electrostatic capacitance of a conductor having the same shape as the bubble. The calculation is carried out for an oblate spheroid, and the variation of the pulsation frequency with shape is shown to be small. The effects of a rigid wall and of a free surface on the pulsation frequency are also calculated by the same method.