Low-frequency vibrations in a near-critical fluid

The response of a near-critical uid to low-frequency vibrations is investigated by means of numerical simulations. Its characteristics are rst established by one-dimensional analysis. It is shown that the strong thermo-mechanical coupling occurring in the boundary layers tends to make the uid oscillate homogeneously at low frequencies, and with a larger amplitude than in a normal gas. The numerical results obtained in this rst part are found to conrm earlier predictions made in pioneering theoretical work. Then, the study is extended to a two-dimensional conguration. In a square cavity, the wall shear stresses developing along the longitudinal boundaries do not affect the one-dimensional regime, since the viscous layer present in these areas behaves like the Stokes boundary layer. By contrast, thermostatting these boundaries, like the others, generates local curvature of the stream lines. The uid response to the homogeneous acceleration eld then takes some more pronounced two-dimensional patterns, but remains driven by the strong alternating expansions and retractions of the uid in the thermal boundary layers, which are specic to near-critical uids