Transition layer thickness in a fluid-porous medium of multi-sized spherical beads |
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Authors: | Mohammad Reza Morad Arzhang Khalili |
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Institution: | (1) Max Planck Institute for Marine Microbiology, Celsiusstr. 1, 28359 Bremen, Germany;(2) Jacobs University Bremen, Campus Ring 1, 28759 Bremen, Germany |
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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 with x
i
and d
i
being the weight fraction and diameter of the component i in the mixture. |
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Keywords: | |
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