Abstract
In the present study, fluid flow characteristics of a porous layer overlaid by a fluid layer were investigated through experiments. The experimental results were analyzed in comparison with theoretical results of a porous medium bounded by impermeable walls. With spheres, the slip coefficient was found to be 0.0107 for Poiseuille flow over a porous layer. As the permeability decreased, the experimental results approached the values calculated by Darcy’s law and Forchheimer’s equation. In addition, the effects of the presence of a fluid layer over a porous medium were examined in terms of the friction factor. The present experimental data placed in the range of the Darcy to the non-Darcy region are shown to be in reasonable agreement with the proposed correlation.
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Abbreviations
- d:
-
particle diameter [m]
- Fs :
-
shape factor [-]
- fb :
-
modified friction factor defined by Eq. (20) [-]
- h1 :
-
fluid layer thickness [m]
- h2 :
-
porous layer thickness [m]
- K:
-
permeability [m2]
- L:
-
channel length [m]
- P:
-
pressure [N m−2]
- Q:
-
volumetric flow rate [m3 s−1]
- Reb :
-
modified Reynolds number defined by Eq. (19) [-]
- u:
-
channel flow velocity [m s−1]
- ū:
-
average channel velocity [m s−1]
- V:
-
velocity in porous media [m s−1]
- V:
-
average permeation velocity [m s−1]
- W:
-
channel width [m]
- x, y:
-
positions in cartesian coordinates [m]
- α:
-
slip coefficient [-]
- β:
-
Forchheimer coefficient [-]
- δ:
-
boundary layer depth [m]
- ε:
-
porosity [-]
- ΔP:
-
pressure difference [N m2]
- σ:
-
dimensionless length scale [-]
- μ:
-
fluid viscosity [kg m−1 s−1]
- μ*:
-
effective viscosity [kg m−1 s−1]
- ρ:
-
density [kg m−3]
- s:
-
slip velocity
- 0:
-
Poiseuille flow
- 1:
-
fluid layer
- 2:
-
porous layer
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Kim, D.S., Cho, E.S. & Choi, C.K. An experimental study on fluid flow characteristics of superposed porous and fluid layers. Korean J. Chem. Eng. 11, 190–197 (1994). https://doi.org/10.1007/BF02697465
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DOI: https://doi.org/10.1007/BF02697465