Thermoacoustic mixture separation with an axial temperature gradient.
The theory of thermoacoustic mixture separation is extended to include the effect of a nonzero axial temperature gradient. The analysis yields a new term in the second-order mole flux that is proportional to the temperature gradient and to the square of the volumetric velocity and is independent of the phasing of the wave. Because of this new term, thermoacoustic separation stops at a critical temperature gradient and changes direction above that gradient. For a traveling wave, this gradient is somewhat higher than that predicted by a simple four-step model. An experiment tests the theory for temperature gradients from 0 to 416 K/m in 50-50 He-Ar mixtures.
Condensed Matter and Thermal Physics Group, Los Alamos National Laboratory, MS K764, Los Alamos, New Mexico 87545, USA. dgeller@lanl.gov
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