Constitutive equations for flow of an incompressible viscous fluid through a porous medium

Williams, W. O.

doi:10.1090/qam/99640

Author: W. O. Williams
Journal: Quart. Appl. Math. 36 (1978), 255-267
DOI: https://doi.org/10.1090/qam/99640
MathSciNet review: QAM99640
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References | Additional Information

W. O. Williams, On the theory of mixtures, Arch. Rational Mech. Anal. 51 (1973), 239–260. MR 342045, DOI https://doi.org/10.1007/BF00250532
R. Sampaio and W. O. Williams, Thermodynamics of diffusing mixtures, J. Mécanique 18 (1979), no. 1, 19–45 (English, with French summary). MR 527554
R. J. Atkin and R. E. Craine, Continuum theories of mixtures: applications, J. Inst. Math. Appl. 17 (1976), no. 2, 153–207. MR 418620

G. S. Beavers and D. D. Joseph, Boundary conditions at a naturally permeable wall, J. Fluid Mech. 30, 197–207 (1967)

P. A. C. Raats, Mechanics of saturated and unsaturated soils, to appear

Morton E. Gurtin and Guilherme M. de La Penha, On the thermodynamics of mixtures, Arch. Rational Mech. Anal. 36 (1970), no. 5, 390–410. I. Mixtures of rigid heat conductors. MR 1553542, DOI https://doi.org/10.1007/BF00282275
Marion L. Oliver, On balanced interactions in mixtures, Arch. Rational Mech. Anal. 49 (1972/73), 195–224. MR 347299, DOI https://doi.org/10.1007/BF00255666

R. Sampaio and W. O. Williams, On the viscosities of liquid mixtures, Z.A.M.P. 28, 607–614 (1977)

P. G. Saffman, On the boundary conditions at the surface of a porous medium, Studies Appl. Math. 50, 93–101 (1971)

G. S. Beavers, E. M. Sparrow and R. A. Magnuson, Experiments on coupled parallel flows in a channel and a bounding porous medium, J. Basic Eng., Trans. ASME, Series D, 843–848 (1970)

Tsuan Wu Ting, Certain non-steady flows of second-order fluids, Arch. Rational Mech. Anal. 14 (1963), 1–26. MR 153255, DOI https://doi.org/10.1007/BF00250690

G. I. Barenblatt, Iu. P. Zheltov and I. N. Kochina, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, J. Math, and Mechanics, PMM 24, 1286–1303 (1960) (transl. of Priklad. Mat. Meth. 24, 852–864 (1960))

Peter J. Chen and Morton E. Gurtin, On a theory of heat conduction involving two temperatures, ZAMP 19, 614–627 (1968)