每年出版 12 期
ISSN 打印: 1091-028X
ISSN 在线: 1934-0508
Indexed in
Start-Up Flow in a Channel or Pipe Occupied by a Fluid-Saturated Porous Medium
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.
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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
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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
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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
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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
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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