On Steady Flow Through a Channel Consisting of an Uneven and a Plane Wall : Part 2, Case of Walls with a Relative Velocity
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概要
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A two-dimensional Couette-Poiseuille flow under a constant pressure gradient in a 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 wavelength of the wavy wall. A solution considering the inertia is obtained by a method of successive approximations. The solution is applied to a channel flow bounded by a simple-harmonic wavy wall and a plane wall. It is found that the presence of 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 values 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 in good agreement with the numerical solution of this problem.
- 一般社団法人日本機械学会の論文
著者
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Izuchi Hisao
Chiyoda Chemical Engineering And Construction Company Limited
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Hasegawa Eiji
Faculty Of Engiineering Keio Univ.
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