On Steady Flow through a Channel Consisting of an Uneven Wall and a Plane Wall : Part 1. Case of No Relative Motion in Two Walls

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概要

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• A steady viscous flow through a two-dimensional, infinite channel consisting of an uneven wall and a plane wall is theoretically investigated under a given pressure gradient. The profile of the uneven wall is assumed to be periodic in the direction of the mean flow. A systematic expansion procedure is developed for the case where the ratio of the mean channel width to the period of the uneven wall, k , is small. An approximate solution is obtained up to the order of k^2 . As a result, the flow rate is explicitly found as a function of the profile of the uneven wall, k and the Reynolds number. The unevenness of the wall always decreases the flow rate in proportion to k^2 . The inertia effect on the flow rate first arises from the second order of k. The flow rate and the stream line are concretely obtained for the case of a sinusoidal wall. The approximate solutions show in good agreement with the solutions obtained by a numerical calculation.

• 一般社団法人日本機械学会の論文

著者

• Hasegawa Eiji

  Keio University, Faculty of Science and Technology

• Hasegawa Eiji

  Keio Univercity Faculty Of Science And Technology

• IZUCHI Hisao

  Keio University

関連論文

• Breakup of a THin Liquid Layer Heated from Below
• On Steady Flow through a Channel Consisting of an Uneven Wall and a Plane Wall : Part 1. Case of No Relative Motion in Two Walls
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• An Approximate Solution of Squeezing Flow Taking Into Account All the Terms in the Navier-Stokes Equation : Series B : Fluid Engineering Heat Transfer Combustion, Power Thermophysical Properties

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