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- W1967241922 abstract "The formal theory of the steady state of thermogravitational thermal diffusion in binary liquid mixtures is developed with the object of using a thermogravitational column of small annular separation to determine thermal diffusion factors quantitatively. Although the general approach of Furry, Jones, and Onsager is followed, full use of all hydrodynamic and thermodynamic transport equations permits the explicit statement and the subsequent re-examination of the simplifying approximations. The resulting differential and integral equations, which are expressed in cylindrical coordinates, are solved subject to boundary conditions imposed by the vanishing of all velocities at the apparatus walls. Inclusion of the temperature and composition dependences of the thermodynamic properties (density, viscosity, etc.) of the fluid leads to the appearance in the final equations of a term which quantitatively takes account of the ``forgotten effect'' as well as of ordinarily negligible correction terms. The final working equation is valid for the arithmetic mean experimental temperature and the initial uniform composition of the mixture. It is shown that an easily measured composition difference can be substituted for the steady-state vertical composition gradient." @default.
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- W1967241922 date "1962-12-15" @default.
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- W1967241922 title "Thermogravitational Thermal Diffusion in Liquids. I. The Formal Theory" @default.
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- W1967241922 doi "https://doi.org/10.1063/1.1733111" @default.
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