傾斜平板間の液膜のメニスカス不安定性 : 第1報,ニュートン流体の場合

概要

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When a viscous fluid is confined between closely spaced plates and the plates are moved with respect to each other, finger patterns of liquid flow are frequently observed on the surfaces of the plates. Formation of the finger is called a meniscus instability phenomenon. This phenomenon may occur also in the fracture of materials because the finger patterns can be seen on the fracture surface of polymers. To understand this phenomenon, the flow disturbed by surface tension must be studied. An instability of the meniscus of a thin film of glycerine between tilted plates is reported when the liquid flows perpendicularly to the direction of movement of the plates. The surface of the meniscus was disturbed when the plates were moved at a certain velocity. The wave length of the disturbance of the meniscus was measured using a video and photographes, and an analytical solution of the disturbance was obtained by solving the Navier-Stokes equation. An equation relating the wave length of the disturbance and modified capillary number, which is a ratio of the viscous force to the surface tension, is newly proposed by the authors. This equation agree with the experimental results.
一般社団法人日本機械学会の論文
1987-07-25