Eulerian kinematics of flow through spatially periodic models of porous media
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Publication:1123094
DOI10.1007/BF01789610zbMath0676.76085MaRDI QIDQ1123094
Howard Brenner, Ludwig C. Nitsche
Publication date: 1989
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
existence proof`macroscale' surface elementcontinuum-level Eulerian seepage flux relationspatially periodic models of porous media
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Cites Work
- On the rheology of a suspension of viscoelastic spheres in a viscous liquid
- Transport Mechanics in Systems of Orientable Particles
- The stress system in a suspension of force-free particles
- The constitutive equation for a dilute emulsion
- Averaged Field Equations for Two‐Phase Media
- Averaged Equations for Two‐Phase Flows
- Statistical hydromechanics of disperse systems Part 1. Physical background and general equations
- The determination of the bulk stress in a suspension of spherical particles to order c 2
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Anisotropic fluids
- Hydrostatic theory of liquid crystals
- Theories of immiscible and structured mixtures
- Suspension of solid particles in a Newtonian fluid
- On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media
- On the intersection of regex languages with regular languages
- Effective diffusion coefficient for a Brownian particle in a two- dimensional periodic channel
- A corpuscular approach to continuum mechanics: Basic considerations
- Homogenization and mechanical dissipation in thermoviscoelasticity
- Acceleration waves in a fluid mixture with compressible constituents
- Non-homogeneous media and vibration theory
- On stresses in mixtures
- A thermomechanical theory for reacting immiscible mixtures
- On the electro-osmotic flow in a saturated porous medium
- On the thermodynamic theory of mixtures
- Compressible porous media models by use of the theory of mixtures
- On thermal equation for flow in porous media
- Surface and interfacial waves of arbitrary form in isotropic elastic media
- The theory of an incompressible solid-fluid mixture
- On the viscosities of liquid mixtures
- A variational theory of immiscible mixtures
- A variational theory of porous media
- Immiscible cellular-automaton fluids.
- On the theory of mixtures
- Antisymmetric stresses induced by the rigid-body rotation of dipolar suspensions
- Directors and multipolar displacements in continuum mechanics
- Simple microfluids
- A reacting continuum
- Nonlinear theory of simple micro-elastic solids. I
- Incompressible mixtures of Newtonian fluids
- Toward a thermodynamics and mechanics of mixtures
- A thermodynamic theory of mixtures of fluids
- Micropolar fluid with stretch
- Kinetic energy of incompressible microstretch fluid in a domain bounded by rigid walls
- Oscillations of a plate in a binary mixture of incompressible Newtonian fluids
- The role of inertia in the hydrodynamics of porous media
- A continuum theory for granular materials
- The kernel of a semigroup of measures
- Micro-structure in linear elasticity
- A theory of bubbly liquids
- On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
- Slow flow through a periodic array of spheres
- Local volume averaging of multiphase systems using a non-constant averaging volume
- Stokes flow through periodic arrays of spheres
- On the momentum equations in dispersed two-phase systems
- A Projection Method Applied to Diffusion in a Periodic Structure
- Creeping flow through cubic arrays of spherical bubbles
- Pressure forces in disperse two-phase flow
- On two-dimensional laminar flows of a particulate suspension in the presence of gravity field
- Plane potential flows past doubly periodic arrays and their connection with effective transport properties
- Dispersion in fixed beds
- Effective viscosity of a periodic suspension
- Microscopic flow near the surface of two-dimensional porous media. Part 1. Axial flow
- Laminar viscous flow through regular arrays of parallel solid cylinders
- Constitutive equations for multiphase mixtures of fluids
- Theory of multiphase mixtures—A thermomechanical formulation
- Spatially periodic suspensions of convex particles in linear shear flows. I. Description and kinematics
- Spatially periodic suspensions of convex particles in linear shear flows. II. Rheology
- Foam and emulsion rheology: A quasistatic model for large deformations of spatially‐periodic cells
- Spatially periodic suspensions of convex particles in linear shear flows. III. Dilute arrays of spheres suspended in Newtonian fluids
- Analysis of the Brinkman equation as a model for flow in porous media
- Transport processes in random arrays of cylinders. I. Thermal conduction
- Transport processes in random arrays of cylinders. II. Viscous flow
- Conductivity of a Medium Containing a Dense Array of Perfectly Conducting Spheres or Cylinders or Nonconducting Cylinders
- The Pauli exclusion principle from a self-consistent field-theory of quantum electrodynamics
- AVERAGING DIFFERENTIAL OPERATORS WITH ALMOST PERIODIC, RAPIDLY OSCILLATING COEFFICIENTS
- Spatial averaging in the mechanics of heterogeneous and dispersed systems
- Dispersion resulting from flow through spatially periodic porous media
- A theory of liquids with vapor bubbles
- Unstable fingers in two phase flow
- ON EQUATIONS OF MOTION FOR LIQUID CRYSTALS
- CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT
- An averaged-equation approach to particle interactions in a fluid suspension
- On the theorems for local volume averaging of multiphase systems
- The Effective Conductivity of a Composite Material with a Periodic Rectangular Geometry
- An Introduction to Fluid Dynamics
- Dispersion and Convection in Periodic Porous Media
- Conservation Laws of Mixed Type Describing Three-Phase Flow in Porous Media
- Taylor dispersion in concentrated suspensions of rotating cylinders
- Dispersion resulting from flow through spatically periodic porous media II. Surface and intraparticle transport
- Fluid Mechanical Aspects of Antisymmetric Stress
- On the mathematics of fluidization Part 1. Fundamental equations and wave propagation