凹凸のある流路内の定常流 : 第2報, 上下の壁に相対運動のある場合

概要

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The two dimensional Couette-Poiseuille flow under a constant pressure gradient in the channel bounded by a wavy wall at rest and a plane wall with a constant velocity is studied theoretically without imposing restrictions on the profile of the wavy wall, except that the width of the channel is small in comparison with the wave length of the wavy wall. A solution containing the inertia is obtained by a method of successive approximations. It is applied to the channel flow bounded by a simple-harmonic wavy wall and a plane wall. It is found that the presence of the inertia can play an important role in the effect of the profile of the wavy wall on the flow. The critical condition under which the discharge or the viscous force acting on the wall is equal to zero is determined with the moving velocity of the plane wall. The minimal value of the discharge and the viscous force acting on the wall are obtained as a function of the amplitude of the simple-harmonic wavy wall. Finally, the approximate solutions are shown to be good agreement with the numerical solution of this problem.
一般社団法人日本機械学会の論文
1983-12-25