Thermoacoustic waves near the liquid-vapor critical point

The thermal relaxation in a fixed-volume cell of a near-critical fluid is governed by the rapid expansion of thermal boundary layers, which drive a series of thermoacoustic waves in the bulk fluid. The long-term cumulative effect of these waves is to increase the pressure in the cell, which in turn leads to a global temperature increase (a process called the “piston effect”). Recently, and for the first time, the thermoacoustic waves produced by the Piston Effect have been measured experimentally using interferometric methods [Y. Miura et al., Phys. Rev. E 74, 010101(R) (2006)]. In the present work, we use asymptotic methods in order to derive a complete theoretical model of the piston-effect-driven acoustic waves, applicable to real fluid equations of state and to arbitrary reduced temperatures. The predictions of this model are compared to the above-mentioned experimental data, and an excellent agreement is observed without any fitting parameter. This result confirms the high precision of the data in qu...

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