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            <title xml:lang="en">Low-frequency vibrations in a near-critical fluid</title>
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                <title xml:lang="en">Low-frequency vibrations in a near-critical fluid</title>
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              <p>The response of a near-critical ﬂuid to low-frequency vibrations is investigated by means of numerical simulations. Its characteristics are ﬁrst established by one-dimensional analysis. It is shown that the strong thermo-mechanical coupling occurring in the boundary layers tends to make the ﬂuid oscillate homogeneously at low frequencies, and with a larger amplitude than in a normal gas. The numerical results obtained in this ﬁrst part are found to conﬁrm earlier predictions made in pioneering theoretical work. Then, the study is extended to a two-dimensional conﬁguration. 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 ﬂuid response to the homogeneous acceleration ﬁeld then takes some more pronounced two-dimensional patterns, but remains driven by the strong alternating expansions and retractions of the ﬂuid in the thermal boundary layers, which are speciﬁc to near-critical ﬂuids</p>
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