Thermoviscous Effects in Steady and Oscillating Flow of an Isotropic Superfluid: Theory
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A calculation is presented of thermoviscous effects in both steady and oscillating flow of an isotropic superfluid through small apertures and channels. These calculations, which are based on the two-fluid model, are motivated by the work of Robinson and Atkins which included only the thermal effects of flow through a superleak. This paper extends these calculations to include the effects of normal fluid flow, compressibility, and thermal expansion. These effects are found to be both dissipative and reactive(nondissipative). The motivation for the extension is to provide a clear understanding of the reactive and dissipative forces at work in superfluid flow experiments. In the paper which immediately follows this one, predictions based on the results of this paper are compared with a wide array of experimental data. This work takes on importance due to the recent discovery of gyroscopic effects, and the possible development of sensitive gyroscopes in experimental cells whose geometry is similar to the one considered in this paper.
KeywordsExperimental Data Thermal Expansion Fluid Flow Compressibility Magnetic Material
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