Viscous Flow past a Circular / Spherical Void in Porous Media-An Application to Measurement of the Velocity of Ground water by the Single Boring Method : Classical Phenomenology and Applications
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概要
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The effect of the presence of a circular void or a spherical void of characteristic size R_0 in a porous media with permeability k on an otherwise undisturbed uniform flow U_∞ is investigated analytically. The entire flow field is determined by matching the solution of the Stokes equation inside the hole with that of the generalized Darcy's (Brinkman) equations in the porous region. The effect of the hole increases with the value of ζ_0 = R_0/√<k>. When ζ_0 is much greater than unity, which corresponds to the case for typical groundwater flow, the velocity at the centre of the circular cylindrical hole U_0 becomes 3U_∞, while the volume flux Q_0 flowing into the hole from upstream-side becomes twice, in comparison with Q_∞ that flows into the same region in the absence of the hole. On the other hand, the velocity at the centre of the spherical void _0 becomes 6U_∞, while Q_0 becomes 3Q_∞.
- 社団法人日本物理学会の論文
- 2000-08-15
著者
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Sano Osamu
Department Of Applied Physics Faculty Of Engineering University Of Tokyo
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SEKHAR G.
Department of Applied Physics, Tokyo University of Agriculture and Technology
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Sekhar G.
Department Of Applied Physics Tokyo University Of Agriculture And Technology
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Sano Osamu
Department Mining and Mineral Engineering
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