傾斜面の平行細線溝における液膜流れ

概要

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Laminar steady-state film flow in an open channel formed by fine parallel wires attached to the lower or upper side of an inclined plate were analyzed numerically by using the Ritz finite element method. The shapes of meniscus profiles, required for the boundary condition, were decided theoretically on the basis of force balance between capillary force and pressure gap at the interface. The results indicate that there exist three types of velocity profile, depending mainly on channel width and film thickness. The location of the higher-velocity region differs from one case to another. Drag coefficient CD and Re can be related as CD =K/Re where K ranges from 1.7 to 2.8. The volumetric flow rate for upward-facing meniscus flow is compared with that for downward-facing flow. The former case shows higher flow rate than the latter, and the difference becomes remarkable for a wider shallow channel. It is found that the meniscus can be taken as circular for the case of a narrow, thick film, but this assumption cannot be applied to a wider shallow channel.
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