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References
28
Referenced
1
- H. Darcy, “Les fontaines publique de a ville de Dijon,” Paris, 1856. / Les fontaines publique de a ville de Dijon by H Darcy (1856)
- M, Poreh and C. Elata, “An analytical derivation of Darcy’s law,” Israel J. Tech. 4, 214–217 (1966). / Israel J. Tech. by M Poreh (1966)
-
S.P. Neuman, “Theoretical derivation of Darcy’s law,” Acta Mech. 25, 153–170 (1977).
(
10.1007/BF01376989) / Acta Mech. by SP Neuman (1977) - J.B. Keller, “Darcy’s law for flow in porous media and the two-space method,” in Nonlinear Partial Differential Equations in Engineering and Applied Science, ed. by R.L. Sternberg, A.J. Kalinowski, and J. S. Papadakis (Marcel Dekker, New York, 1980), pp. 429–443. / Nonlinear Partial Differential Equations in Engineering and Applied Science by JB Keller (1980)
- H.C. Brinkman, “A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles,” Appl. Sci. Res. Al, 27–34 (1947). / Appl. Sci. Res. by HC Brinkman (1947)
-
S. Childress, “Viscous flow past a random array of spheres,” J. Chem. Phys. 56, 2527–2539 (1972).
(
10.1063/1.1677576) / J. Chem. Phys. by S Childress (1972) -
I.D. Howells, “Drag due to the motion of a Newtonian fluid through a sparse random array of small fixed rigid objects,” J. Fluid Mech. 64, 449–475 (1974).
(
10.1017/S0022112074002503) / J. Fluid Mech. by ID Howells (1974) -
E.J. Hinch, “An averaged-equation approach to particle interactions in a fluid suspension,” J. Fluid Mech. 83, 695–720 (1977).
(
10.1017/S0022112077001414) / J. Fluid Mech. by EJ Hinch (1977) -
A.A. Zick and G.M. Homsy, “Stokes flow through a periodic array of spheres,” J. Fluid Mech. 115, 13–26 (1982).
(
10.1017/S0022112082000627) / J. Fluid Mech. by AA Zick (1982) -
A.S. Sangani and A. Acrivos, “Slow flow through a periodic array of spheres,” Int. J. Multiphase Flow 8, 343–360 (1982).
(
10.1016/0301-9322(82)90047-7) / Int. J. Multiphase Flow by AS Sangani (1982) -
S. Prager, “Viscous flow through porous media,” Phys. Fluids 4, 1477–1482 (1961).
(
10.1063/1.1706246) / Phys. Fluids by S Prager (1961) -
M. Doi, “A new variational approach to the diffusion and the flow problem in porous media,” J. Phys. Soc. Japan 40, 567–572 (1976).
(
10.1143/JPSJ.40.567) / J. Phys. Soc. Japan by M Doi (1976) - S. Torquato, “Microscopic approach to transport in two-phase random media,” Ph.D. thesis (State University of New York at Stony Brook, 1980). / Microscopic approach to transport in two-phase random media by S Torquato (1980)
-
J.G. Berryman, “Computing variational bounds for flow through random aggregates of spheres,” J. Comput. Phys. 52, 142–162 (1983).
(
10.1016/0021-9991(83)90021-9) / J. Comput. Phys by JG Berryman (1983) -
J.G. Berryman, “Bounds on fluid permeability for viscous flow through porous media,” J. Chem. Phys. 82, 1459–1467 (1985).
(
10.1063/1.448420) / J. Chem. Phys. by JG Berryman (1985) -
J.G. Berryman, “Measurement of spatial correlation functions using image processing techniques,” J. Appl. Phys. 57, 2374–2384 (1985).
(
10.1063/1.334346) / J. Appl. Phys. by JG Berryman (1985) - R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. I, (Interscience, New York, 1953), pp. 252–257 and / Methods of Mathematical Physics by R Courant (1953)
- R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. I, (Interscience, New York, 1953), pp. 268–272. / Methods of Mathematical Physics by R Courant (1953)
- M.J. Beran, Statistical Continuum Theories (Interscience, New York, 1968), Chapter 6. / Statistical Continuum Theories by MJ Beran (1968)
-
H.L. Weissberg and S. Prager, “Viscous flow through porous media. III. Upper bounds on the permeability for a simple random geometry,” Phys. Fluids 13, 2958–2965 (1970).
(
10.1063/1.1692887) / Phys. Fluids by HL Weissberg (1970) -
J.G. Berryman and G.W. Milton, “Normalization constraint for variational bounds on fluid permeability”, J. Chem. Phys., July, 1985.
(
10.1063/1.449489) - L.D. Landau and E.M. Lifshitz, Fluid Mechanics (Pergamon Press, London, 1959), p. 54. / Fluid Mechanics by LD Landau (1959)
- H. Lamb, Hydrodynamics (Dover, New York, 1945), pp. 617–619. / Hydrodynamics by H Lamb (1945)
-
J.B. Keller, “A theorem on the conductivity of a composite medium,” J. Mathematical Phys. 5, 548–549 (1964).
(
10.1063/1.1704146) / J. Mathematical Phys. by JB Keller (1964) -
K. Schulgasser, “On a phase interchange relationship for composite materials,” J. Mathematical Phys. 17, 378–381 (1976).
(
10.1063/1.522903) / J. Mathematical Phys. by K Schulgasser (1976) -
H.L. Weissberg, “Effective diffusion coefficient in porous media,” J. Appl. Phys. 34, 2636–2639 (1963).
(
10.1063/1.1729783) / J. Appl. Phys. by HL Weissberg (1963) -
W. Strieder and R. Aris, Variational Methods Applied to Problems of Diffusion and Reaction (Springer-Verlag, New York, 1973), pp. 4–8.
(
10.1007/978-3-642-65624-8) / Variational Methods Applied to Problems of Diffusion and Reaction by W Strieder (1973) -
S. Torquato and G. Stell, “Microstructure of two-phase random media. III. The n-point matrix probability functions for fully penetrable spheres,” J. Chem. Phys. 79, 1505–1510 (1983).
(
10.1063/1.445941) / J. Chem. Phys. by S Torquato (1983)
Dates
| Type | When |
|---|---|
| Created | 13 years, 10 months ago (Oct. 13, 2011, 12:26 a.m.) |
| Deposited | 2 years, 6 months ago (Feb. 11, 2023, 4:36 a.m.) |
| Indexed | 5 months, 1 week ago (March 25, 2025, 4:58 p.m.) |
| Issued | 39 years, 8 months ago (Jan. 1, 1986) |
| Published | 39 years, 8 months ago (Jan. 1, 1986) |
| Published Print | 39 years, 8 months ago (Jan. 1, 1986) |
@inbook{Berryman_1986, title={Variational Bounds on Darcy’s Constant}, ISBN={9781461386469}, ISSN={0940-6573}, url={http://dx.doi.org/10.1007/978-1-4613-8646-9_3}, DOI={10.1007/978-1-4613-8646-9_3}, booktitle={Homogenization and Effective Moduli of Materials and Media}, publisher={Springer New York}, author={Berryman, James G.}, year={1986}, pages={52–77} }