The Flow of a Viscous Fluid through a Porous Wall into a Narrow Gap : A Consideration of the Slip of Fluid on a Porous Wall Surface

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概要

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• An exact theoretical analysis is presented for the axi-symmetric flow of a viscous fluid through a porous wall into a narrow, uniform gap. In this analysis, the two equations of motion, one for the flow in the gap and the other in the porous medium, are solved under the generalized condition that the fluid may flow radially in the porous medium and as the result may slip on the porous wall surface. The important conclusions confirmed through this research are as follows. The flow characteristics are governed by the two non-dimensional parameters, [numerical formula] and [numerical formula] (k : permeability of the porous medium, h : gap width, ν_0 : constant normal velocity component at the porous wall surface). Except the limiting case λ→0,the flow generally has a tangential velocity component at the porous wall surface, and especially for the flow with large values of R, the no-slip assumption which has been made customarily to date, becomes invalid even when λ is very small. For the flow of boundary-layer type the slip of fluid may usually be ignored, but for the flow through a porous wall into a narrow gap, such as in the porous gas bearing, it is necessary to take account of the new phenomena found by the present research.

• 一般社団法人日本機械学会の論文

著者

• Ishizawa Shingo

  Mechanical Engineering Research Laboratory Hitachi Ltd.

• HORI Eiichi

  Mechanical Engineering Research Laboratory, Hitachi Ltd.

• Hori Eiichi

  Mechanical Engineering Research Laboratory Hitachi Ltd.

関連論文

• A New Multifold Series General Solution of the Steady, Laminar Boundary Layers : 2nd Report, Application Theory of the Euler Transformation
• A New Theory and its Extensive Application of the Multifold Series Expansion Analysis for the Boundary Layer Equations
• A New Multifold Series General Solution of the Steady, Laminar Boundary Layers : 3rd Report, Extension of the Solution to the Case of Not Smoothly joining Mainstream-Velocities
• The Flow of a Viscous Fluid through a Porous Wall into a Narrow Gap : A Consideration of the Slip of Fluid on a Porous Wall Surface
• The Unsteady Laminar Flow between Two Parallel Discs with Arbitrarily Varying Gap Width
• A New Multifold Series General Solution of the Steady, Laminar Boundary Layers : 1st Report, Theory of the Multifold Series Expansion
• On the Momentum-Integral Method of Solution for the Laminar Entrance-Flow Problems

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