Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore

DOI10.1007/s11565-007-0026-9zbMath1181.35013OpenAlexW2025353948MaRDI QIDQ1042598

Andro Mikelić, Carole Rosier

Publication date: 14 December 2009

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-007-0026-9

zbMATH Keywords

approximation errorlarge Damkohler numberrigorous mathematical justificationsurface chemical reactionTaylor's dispersionupscaled model

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Classical flows, reactions, etc. in chemistry (92E20) Turbulent transport, mixing (76F25)

Related Items

Rigorous upscaling of the reactive flow with finite kinetics and under dominant Péclet number ⋮ A conservative, positivity preserving scheme for reactive solute transport problems in moving domains ⋮ Analytical and variational numerical methods for unstable miscible displacement flows in porous media ⋮ Investigations of effective dispersion models for electroosmotic flow with rigid and free boundaries in a thin strip ⋮ RIGOROUS DERIVATION OF A HYPERBOLIC MODEL FOR TAYLOR DISPERSION ⋮ Derivation of an effective dispersion model for electro-osmotic flow involving free boundaries in a thin strip ⋮ Effective models for reactive flow under a dominant Péclet number and order one Damköhler number: numerical simulations ⋮ Laplace transform approach to the rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore ⋮ Upscaling of Nonisothermal Reactive Porous Media Flow under Dominant Péclet Number: The Effect of Changing Porosity ⋮ Modeling and analysis of reactive solute transport in deformable channels with wall adsorption–desorption

Cites Work

• Unnamed Item
• Unnamed Item
• AVERAGING A SINGULARLY PERTURBED EQUATION WITH RAPIDLY OSCILLATING COEFFICIENTS IN A LAYER
• A Centre Manifold Description of Contaminant Dispersion in Channels with Varying Flow Properties
• ON THE BEHAVIOR AT INFINITY OF SOLUTIONS OF SECOND ORDER ELLIPTIC EQUATIONS IN DOMAINS WITH NONCOMPACT BOUNDARY
• Taylor Dispersion in Curved Channels
• Dispersion and Convection in Periodic Porous Media
• Stability of one‐dimensional boundary layers by using Green's functions
• Averaging a transport equation with small diffusion and oscillating velocity
• Crystal dissolution and precipitation in porous media: Pore scale analysis
• Rigorous Upscaling of the Reactive Flow through a Pore, under Dominant Peclet and Damkohler Numbers