Dynamic stability of the liquid-gas interface in micron-sized pores

This paper investigates the dynamic stability of a liquid-gas (or vapor) interface, which occurs in very small diameter pores. The interface is examined under conditions of a static pressure difference across it and a static pressure difference along with a sinusoidal one-dimensional oscillation. The Navier-Stokes equations are applied to the liquid side with assumed no-slip conditions, while the Young-Laplace equation is used to formulate the shape of the interface. This theoretical model calculates both velocity profiles in the liquid side and transient profiles of the interface itself; and of particular interest, it predicts the pressure difference, oscillation frequency and amplitude required to burst this interface (sometimes referred to as bubble burst through).