Analytical Solutions for Partitioned Diffusion in Laminates: I. Initial Value Problem with Steady Cauchy Conditions
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- Type
- article
- Published
- 1999-10-01
- Cited by
- 15
- References
- 31
- OpenAlex
- https://openalex.org/W77972133
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:116345681
Keywords
Eigenfunction, Cartesian coordinate system, Péclet number, Separation of variables, Hydrogeology
References
- The Mathematics Of Diffusion
- Note on a problem in radial flow
- Partition coefficient and bioaccumulation of selected organic chemicals
- Conduction of Heat.
- Transport in ordered and disordered porous media: volume-averaged equations, closure problems, and comparison with experiment
- Partitioning of organic compounds in octanol-water systems
- Macroscale continuum mechanics for multiphase porous-media flow including phases, interfaces, common lines and common points
- Two-medium treatment of heat transfer in porous media: numerical results for effective properties
- Diffusion and reaction in biofilms
- Analytical modeling of diffusion-limited contamination and decontamination in a two-layer porous medium
- Direct comparison of kinetic and local equilibrium formulations for solute transport affected by surface reactions
- Two-equation model for a diffusive process in porous media using the volume averaging method with an unsteady-state closure
- Sorption phenomena in subsurface systems: Concepts, models and effects on contaminant fate and transport
- A derivation of the equations for multi-phase transport
- Heat Flow through Composite Cylinders
- Modeling partitioning and transport interactions between natural organic matter and polynuclear aromatic hydrocarbons in groundwater
- Numerical solution of transport equation for applications in environmental hydraulics and hydrology
- Analysis of diffusion through composite membranes. I: Mathematical development
- One-dimensional virus transport in homogeneous porous media with time-dependent distribution coefficient
- Handbook of Mathematical Functions.
Cited by
- Analytical Solutions for Partitioned Diffusion in Laminates: II. Harmonic Forcing Conditions
- A time-synchronous domain decomposition code for multiphysics systems
- Significance of fracture rim zone heterogeneity for tracer transport in crystalline rock
- A structure-sensitive continuum model of arterial drug deposition
- Identification of diffusion transport properties from desorption/sorption kinetics : An analysis based on a new approximation of fick equation during solid-liquid contact
- Novel Polymer Film Sensor for Moisture Absorption Ratio in GFRP Laminates
- A simple numerical approach for assessing coupled transport processes in partitioning systems
- Using fugacity to predict volatile emissions from layered materials with a clay/polymer diffusion barrier
- EMISSION OF VOLATILE ORGANIC COMPOUNDS FROM MULTI-LAYER STRUCTURAL INSULATED PANELS
- Finite volume schemes for multilayer diffusion
- Characteristic time scales for diffusion processes through layers and across interfaces.
- Semi-analytical solution of multilayer diffusion problems with time-varying boundary conditions and general interface conditions
- Critical review of models for H2-permeation through polymers with focus on the differential pressure method
- Forward and back diffusion of reactive contaminants through multi-layer low permeability sediments.
- Particle-to-particle solvent diffusion in compacted granular systems
- Mathematical modeling of anomalous diffusive behavior in transdermal drug-delivery including time-delayed flux concept
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