Abstract
| Language | English |
|---|---|
| Pages | 979-990 |
| Number of pages | 12 |
| Journal | International Journal of Engineering Science |
| Volume | 32 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1994 |
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Similarity of sharp-edged porous media. / Smeulders, D.M.J.; Hassel, van, R.R.; Dongen, van, M.E.H.; Jansen, J.K.M.
In: International Journal of Engineering Science, Vol. 32, No. 6, 1994, p. 979-990.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Similarity of sharp-edged porous media
AU - Smeulders,D.M.J.
AU - Hassel, van,R.R.
AU - Dongen, van,M.E.H.
AU - Jansen,J.K.M.
PY - 1994
Y1 - 1994
N2 - The dynamic interaction between a rigid porous structure (porosity f) and its saturating fluid is studied. From the microscopic conservation laws and constitutive relations, macroscopic equations are derived. An averaging technique proposed and discussed by authors like Lévy, Auriault and Burridge and Keller is used. The macroscopic equations are studied in the high-frequency limit. The high-frequency behaviour is characterized by the tortuosity parameter a¿ and by an effective pore radius ¿, denned previously by Johnson et al. The low frequency behaviour is characterized by the ratio of the steady-state permeability K0 and the porosity f. A similarity parameter M = 8a¿K0/f¿2 (in the two-dimensional case M = 12a¿K0/f¿2) is defined, which is approximately equal to 1 for configurations that have smooth microscopic geometries. For sharp-edged pore geometries, however, M is no longer found equal to one. Numerical computations are performed using a Schwartz-Christoffel transformation.
AB - The dynamic interaction between a rigid porous structure (porosity f) and its saturating fluid is studied. From the microscopic conservation laws and constitutive relations, macroscopic equations are derived. An averaging technique proposed and discussed by authors like Lévy, Auriault and Burridge and Keller is used. The macroscopic equations are studied in the high-frequency limit. The high-frequency behaviour is characterized by the tortuosity parameter a¿ and by an effective pore radius ¿, denned previously by Johnson et al. The low frequency behaviour is characterized by the ratio of the steady-state permeability K0 and the porosity f. A similarity parameter M = 8a¿K0/f¿2 (in the two-dimensional case M = 12a¿K0/f¿2) is defined, which is approximately equal to 1 for configurations that have smooth microscopic geometries. For sharp-edged pore geometries, however, M is no longer found equal to one. Numerical computations are performed using a Schwartz-Christoffel transformation.
U2 - 10.1016/0020-7225(94)90050-7
DO - 10.1016/0020-7225(94)90050-7
M3 - Article
VL - 32
SP - 979
EP - 990
JO - International Journal of Engineering Science
T2 - International Journal of Engineering Science
JF - International Journal of Engineering Science
SN - 0020-7225
IS - 6
ER -