Flow in random porous media: mathematical formulation, variational principles, and rigorous bounds
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Publication:4730957
DOI10.1017/S0022112089002211zbMath0681.76098MaRDI QIDQ4730957
Sal Torquato, Jacob Rubinstein
Publication date: 1989
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
microstructurevariational principlesrandom porous mediumslow viscous flowmethod of homogenizationensemble-average formulationmacroscopic Darcy's lawrandom boundary- value problem
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Cites Work
- Theoretical derivation of Darcy's law
- A New Variational Approach to the Diffusion and the Flow Problem in Porous Media
- On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
- Viscous Flow through Porous Media
- Slow flow through a periodic array of spheres
- Stokes flow through periodic arrays of spheres
- Lower bounds on permeability
- An averaged-equation approach to particle interactions in a fluid suspension
- Bounds on the permeability of a random array of partially penetrable spheres
- Extremum principles for slow viscous flows with applications to suspensions
- Viscous Flow through Porous Media. III. Upper Bounds on the Permeability for a Simple Random Geometry
- Slow flow through stationary random beds and suspensions of spheres
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