Forced oscillations of gas bubble with hysteresis of contact angle

Forced axisymmetric oscillations of a gas bubble under the action of an oscillating pressure field are studied. The bubble is clamped between two parallel solid surfaces and surrounded by an incompressible liquid of finite volume with a free outer surface. The specific boundary conditions are applied as follows: sliding of the contact line can be realized only when the deviation of the contact angle exceeds a certain critical value. As a result, the stick-slip dynamics can be observed. The existence of three types of motion is demonstrated: stick-slip motion similar to the motion of an incompressible drop, as well as double resonance and modified oscillations characteristic only of a compressible bubble, taking into account the hysteresis of the contact angle.