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  • 标题:Role of Time Relaxation in a One-Dimensional Diffusion-Advection Model of Water and Salt Transport
  • 本地全文:下载
  • 作者:Igor Medved’ ; Robert Černý
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2015
  • 卷号:2015
  • DOI:10.1155/2015/307312
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
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