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多孔介质期刊
影响因子: 1.061 5年影响因子: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v12.i4.60
pages 361-367

Start-Up Flow in a Channel or Pipe Occupied by a Fluid-Saturated Porous Medium

A. A. Avramenko
Institute of Engineering Thermophysics, National Academy of Sciences of Ukraine, Kiev, Ukraine

ABSTRACT

The response of incompressible fluid in a parallel-plate channel or circular pipe, occupied by a fluid-saturated porous medium, to a suddenly imposed time-independent pressure drop is investigated. The Brinkman-expended Darcy equation is used to model momentum transport in the fluid. The problem is solved analytically using the Laplace transformation. The unsteady velocity profiles in a channel or pipe are presented through infinite series solutions. As expected, the flow asymptotically attains the fully developed velocity distribution, which is attained faster for the medium of smaller permeability.


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