Transition layer thickness in a fluid-porous medium of multi-sized spherical 
beads

Morad, M. R.; Khalili, A.

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Transition layer thickness in a fluid-porous medium of multi-sized spherical beads

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Morad, M. R.
Department of Biogeochemistry, Max Planck Institute for Marine Microbiology, Max Planck Society;

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Khalili, A.
Department of Biogeochemistry, Max Planck Institute for Marine Microbiology, Max Planck Society;

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Morad, M. R., & Khalili, A. (2009). Transition layer thickness in a fluid-porous medium of multi-sized spherical beads. Experiments in Fluids, 46(2), 323-330.

Cite as: https://hdl.handle.net/21.11116/0000-0001-CC82-6

Abstract

Momentum and mass transfer at fluid–porous interfaces occur in many technical and natural applications. The vertical extend below a fluid–porous interface within which the free fluid velocity reduces to a constant Darcy velocity in the porous medium is known as Brinkman layer. Recently, the Brinkman layer thickness (δ) has been measured for a porous bed of mono-sized spherical beads, and was found to be in the order of the particle diameter (d). In this study, we investigate a porous medium made of multi-sized spherical beads. The measured averaged interfacial velocity field clearly indicated that, in the case of multi-sized beads, δ is in the order of a characteristic diameter given by (∑ixidi)/(∑ixid2i) with x i and d i being the weight fraction and diameter of the component i in the mixture.