Average flow generation by a pulsating flow near a curved interface.

This paper is devoted to the study of curvature influence on the average flow generation near the fluid interface. The time averaging of a non-uniform pulsating flow often results in a nonzero average flow in the bulk. The well-known average flow occurs near a solid surface, the so-called Schlichting mechanism of the average flow generation.

Evolution of a spherical hydrate-free inclusion in a porous matrix filled with methane hydrate.

The behavior of a small isolated hydrate-free inclusion (a gas bubble) within a porous matrix filled with methane hydrate and either water or methane gas is analyzed. Simplifying assumptions of spherical symmetry, an infinite uniform porous medium, and negligible effects of background temperature and pressure variations focus the investigation on the features of the dynamics of a single bubble determined by a phase transition. Two solutions are presented: an exact solution of the Stefan problem obtained when the effects of gas and water flow are neglected, and a numerical solution of the full problem.