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Darcy Law of Thermo-Osmosis for Zero Net Mass Flow at Low Temperature
S.W.K. Yuan and T.H.K. Frederking
University of California, Los Angeles
Chemical Engineering Dept.
Los Angeles, CA 90024, U.S.A.
In frequently used solid-fluid material combinations of porous medium systems, the thermal conductivity (k) of the solid is significantly larger than the fluid values. In contrast, at low temperatures, the solid k-value may be quite small, and the fluid may reach high k-values locally or over an extended temperature range. In Helium-4 below the lambda temperature (superfluid He II) thermo-osmotic forces dominate the transport phenomena. Darcy transport at low speeds in the laminar range is studied for the material combination of low conductivity solids and He II. The continuum conditions of the two-fluid model are considered. The resulting thermo-osmotic equation does not depend on the superfluid density ratio explicitly. The theoretical results obtained are compared with various data for different types of porous media. Good agreement with prediction is found within uncertainty limits associated with porous medium characterization. Download this Paper
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About the author- Dr. Sidney Yuan is a consultant in the field of Low Temperature Physics and Cryogenics, and has written a Book on Cryogenics and published extensively in the field. E-Mail.
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