一端閉塞の多孔質弾性円管内非定常流(管長が伸びあるいは縮む場合の線形理論)

概要

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Unsteady flow of a viscous, incompressible fluid in a semi-infinite circular tube with a porous, elastic wall whose length contracts or expands with time, but whose cross-section does not vary, is studied considering the effects of suction or injection on the wall.　Laminar, similar solutions with respect to space and time are obtained analytically. Velocities, pressure, frictional drag, power and work of fluid are analyzed.　The elastic motions of the tube have two typical cases one is from the finite length to another finite one, and the other is from the finite length to the infinite or infinitely small one, if it may be possible. The former has a tendency to induce the remarkable compensating flow in the center of the tube, while the latter causes the flow to have the core region with the boundary one.　There are the critical conditions of suction and injection on the wall in accordance with the conditions of motion of the wall either contracting or expanding in an axial direction. The conditions of suction and injection are divided into two parts, giving a classification of the situations of the induced flow fields.
山形大学の論文
1981-01-20