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

卷 12, 册 4, 2009, pp. 361-367
DOI: 10.1615/JPorMedia.v12.i4.60
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摘要

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.

对本文的引用
  1. Yu L.H., Wang C.Y., Darcy-Brinkman Flow Through a Bumpy Channel, Transport in Porous Media, 97, 3, 2013. Crossref

  2. Avramenko A. A., Tyrinov A. I., Shevchuk I. V., Start-up slip flow in a microchannel with a rectangular cross section, Theoretical and Computational Fluid Dynamics, 29, 5-6, 2015. Crossref

  3. Avramenko A. A., Tyrinov A. I., Shevchuk I. V., An analytical and numerical study on the start-up flow of slightly rarefied gases in a parallel-plate channel and a pipe, Physics of Fluids, 27, 4, 2015. Crossref

  4. Jha Basant K., Odengle J. O., A Semi-analytical Solution for Start-Up Flow in an Annulus Partially Filled with Porous Material, Transport in Porous Media, 114, 1, 2016. Crossref

  5. Avramenko A. A., Dmitrenko N. P., Kravchuk A. B., Kovetskaya Yu. Yu., Tyrinov A. I., Hydrodynamics of a Nonstationary Flow in a Microcylinder Beginning Sudden Rotation, Journal of Engineering Physics and Thermophysics, 91, 6, 2018. Crossref

  6. Ajibade Abiodun O., Jha Basant K., Gambo Jeremiah J., Combined effects of viscous and Darcy dissipation on mixed convection flow in a composite vertical channel partially filled with a porous material: Analytical approach, International Communications in Heat and Mass Transfer, 136, 2022. Crossref

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