NDLI: Solutions to and Validation of Matrix-Diffusion Models

Content Provider	Springer Nature Link
Author	Kekäläinen, Pekka Voutilainen, Mikko Poteri, Antti Hölttä, Pirkko Hautojärvi, Aimo Timonen, Jussi
Copyright Year	2010
Abstract	A model transport system is considered in which a pulse of tracer molecules is advected along a flow channel with porous walls. The advected tracer thus undergoes diffusion, matrix-diffusion, inside the walls, which affects the breakthrough curve of the tracer. Analytical solutions in the form of series expansions are derived for a number of situations which include a finite depth of the porous matrix, varying aperture of the flow channel, and longitudinal diffusion and Taylor dispersion of the tracer in the flow channel. Novel expansions for the Laplace transforms of the concentration in the channel facilitated closed-form expressions for the solutions. A rigorous result is also derived for the asymptotic form of the breakthrough curve for a finite depth of the porous matrix, which is very different from that for an infinite matrix. A specific experimental system was created for validation of matrix-diffusion modeling for a matrix of finite depth. A previously reported fracture-column experiment was also modeled. In both cases model solutions gave excellent fits to the measured breakthrough curves with very consistent values for the diffusion coefficients used as the fitting parameters. The matrix-diffusion modeling performed could thereby be validated.
Starting Page	125
Ending Page	149
Page Count	25
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	87
Issue Number	1
e-ISSN	15731634
Language	English
Publisher	Springer Netherlands
Publisher Date	2010-10-20
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Matrix-diffusion Diffusion in porous medium Civil Engineering Hydrogeology Classical Continuum Physics Industrial Chemistry/Chemical Engineering Geotechnical Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Stationary Fingering Instability in a Non-equilibrium Porous Medium with Coupled Molecular Diffusion

Fracture-Flow-Enhanced Matrix Diffusion in Solute Transport Through Fractured Porous Media

Erratum to: Flow Around a Crack in a Porous Matrix and Related Problems

Flow Adjacent to a Stretching Permeable Sheet in a Darcy–Brinkman Porous Medium

Simple Expression for the Tortuosity of Porous Media

Cross Diffusion Convection in a Newtonian Fluid-Saturated Rotating Porous Medium

Peristaltic Flow of a Maxwell Model Through Porous Boundaries in a Porous Medium

Onset of Convection with Internal Heating in a Weakly Heterogeneous Porous Medium

Heat Transfer Characteristics of Reciprocating Flows in Channels Partially Filled with Porous Medium

Solutions to and Validation of Matrix-Diffusion Models

Similar Documents

Stationary Fingering Instability in a Non-equilibrium Porous Medium with Coupled Molecular Diffusion

Fracture-Flow-Enhanced Matrix Diffusion in Solute Transport Through Fractured Porous Media

Erratum to: Flow Around a Crack in a Porous Matrix and Related Problems

Flow Adjacent to a Stretching Permeable Sheet in a Darcy–Brinkman Porous Medium

Simple Expression for the Tortuosity of Porous Media

Cross Diffusion Convection in a Newtonian Fluid-Saturated Rotating Porous Medium

Peristaltic Flow of a Maxwell Model Through Porous Boundaries in a Porous Medium

Onset of Convection with Internal Heating in a Weakly Heterogeneous Porous Medium

Heat Transfer Characteristics of Reciprocating Flows in Channels Partially Filled with Porous Medium

Solutions to and Validation of Matrix-Diffusion Models