Role of Time Relaxation in a One-Dimensional Diffusion-Advection Model of Water and Salt Transport
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 to occur instantly, as soon as the salt is trans...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/307312 |
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| _version_ | 1832559889849778176 |
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| author | Igor Medved’ Robert Černý |
| author_facet | Igor Medved’ Robert Černý |
| author_sort | Igor Medved’ |
| collection | DOAJ |
| 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 to occur instantly, as soon as the salt is transported by water to a given position. We consider the advection-diffusion model 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. |
| format | Article |
| id | doaj-art-39c649ad363c4b249b88ee7007901585 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-39c649ad363c4b249b88ee70079015852025-02-03T01:28:52ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/307312307312Role of Time Relaxation in a One-Dimensional Diffusion-Advection Model of Water and Salt TransportIgor Medved’0Robert Černý1Department of Materials Engineering and Chemistry, Faculty of Civil Engineering, Czech Technical University in Prague, Thakurova 7, 16629 Prague, Czech RepublicDepartment of Materials Engineering and Chemistry, Faculty of Civil Engineering, Czech Technical University in Prague, Thakurova 7, 16629 Prague, Czech RepublicThe 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 to occur instantly, as soon as the salt is transported by water to a given position. We consider the advection-diffusion model 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.http://dx.doi.org/10.1155/2015/307312 |
| spellingShingle | Igor Medved’ Robert Černý Role of Time Relaxation in a One-Dimensional Diffusion-Advection Model of Water and Salt Transport Advances in Mathematical Physics |
| title | Role of Time Relaxation in a One-Dimensional Diffusion-Advection Model of Water and Salt Transport |
| title_full | Role of Time Relaxation in a One-Dimensional Diffusion-Advection Model of Water and Salt Transport |
| title_fullStr | Role of Time Relaxation in a One-Dimensional Diffusion-Advection Model of Water and Salt Transport |
| title_full_unstemmed | Role of Time Relaxation in a One-Dimensional Diffusion-Advection Model of Water and Salt Transport |
| title_short | Role of Time Relaxation in a One-Dimensional Diffusion-Advection Model of Water and Salt Transport |
| title_sort | role of time relaxation in a one dimensional diffusion advection model of water and salt transport |
| url | http://dx.doi.org/10.1155/2015/307312 |
| work_keys_str_mv | AT igormedved roleoftimerelaxationinaonedimensionaldiffusionadvectionmodelofwaterandsalttransport AT robertcerny roleoftimerelaxationinaonedimensionaldiffusionadvectionmodelofwaterandsalttransport |