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Thermoacoustic Boundary Layers Near the Liquid-Vapor Critical Point



Keith A. Gillis, Iosif I. Shinder, Michael R. Moldover


We measure and calculate the sound attenuation within thermoacoustic boundary layers between solid surfaces and xenon at its critical density rc as the reduced temperature t=(T -Tc)/Tc approaches zero. (Tc is the critical temperature.) Using the singular thermophysical properties of xenon, we predict that the attenuation at the boundary first increases as t-0.8 and then saturates when the effusivity of the xenon exceeds that of the solid. [The effusivity is defined by e=(pCP(lambda)T)1/2, where CP is the isobaric specific heat and (lambda)T is the thermal conductivity.] The model correctly predicts ( 1.0 %) the quality factors Q of resonances measured in a stainless steel resonator (e = 6400 J/m2-K-s1/2); it also predicts the observed increase of the Q, by up to a factor of 8, when the resonator is coated with the polymer Parylene C (e = 370 J/m2-K-s1/2). The test data span the frequency range 0.1 kHz
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)


boundary layer, bulk viscosity, critical phenomena, dissipation, thermoacoustics


Gillis, K. , Shinder, I. and Moldover, M. (2004), Thermoacoustic Boundary Layers Near the Liquid-Vapor Critical Point, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) (Accessed July 15, 2024)


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Created August 1, 2004, Updated February 17, 2017