Role of Time Relaxation in a One-Dimensional Diffusion-Advection Model of Water and Salt Transport
Result description
The transport of salt, necessarily coupled with the transport of water, through porous building materials may heavily limit their durability due to possible deterioration and structural damage. Usually, the binding of salt to the pore walls is assumed tooccur instantly, as soon as the salt is transported by water to a given position.We consider the advection-diffusionmodel of the transport and generalize it to include possible delays in the binding. Applying the Boltzmann-Matano method, we calculate the diffusion coefficient of the salt in dependence on the salt concentration and show that it increases with the rate of binding. We apply our results to an example of the chloride transport in a lime plaster.
Keywords
water transportsalt transporttime relaxationdiffusion-advection model
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Role of Time Relaxation in a One-Dimensional Diffusion-Advection Model of Water and Salt Transport
Original language description
The transport of salt, necessarily coupled with the transport of water, through porous building materials may heavily limit their durability due to possible deterioration and structural damage. Usually, the binding of salt to the pore walls is assumed tooccur instantly, as soon as the salt is transported by water to a given position.We consider the advection-diffusionmodel of the transport and generalize it to include possible delays in the binding. Applying the Boltzmann-Matano method, we calculate the diffusion coefficient of the salt in dependence on the salt concentration and show that it increases with the rate of binding. We apply our results to an example of the chloride transport in a lime plaster.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JN - Civil engineering
OECD FORD branch
—
Result continuities
Project
GBP105/12/G059: Cumulative time dependent processes in building materials and structures
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Mathematical Physics
ISSN
1687-9120
e-ISSN
—
Volume of the periodical
2015
Issue of the periodical within the volume
2015
Country of publishing house
EG - EGYPT
Number of pages
6
Pages from-to
1-6
UT code for WoS article
000365917300001
EID of the result in the Scopus database
2-s2.0-84949309328
Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
JN - Civil engineering
Year of implementation
2015