Analytical Solutions of Ionic Diffusion and Heat Conduction in Multilayered Porous Media
Joint Authors
Xi, Yunping
Bai, Yu
Harajli, Ali
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-29
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Ionic diffusion and heat conduction in a multiple layered porous medium have many important engineering applications.
One of the examples is the chloride ions from deicers penetrating into concrete structures such as bridge decks.
Different overlays can be placed on top of concrete surface to slowdown the chloride penetration.
In this paper, the chloride ion diffusion equations were established for concrete structures with multiple layers of protective system.
By using Laplace transformation, an analytical solution was developed first for chloride concentration profiles in two-layered system and then extended to multiple layered systems with nonconstant boundary conditions, including the constant boundary and linear boundary conditions.
Because ionic diffusion in saturated media and heat conduction are governed by the same form of partial differential equations with different materials parameters, the analytical solution was further extended to handle heat conduction in a multiple layered system under nonconstant boundary conditions.
The numerical results were compared with available test data.
The basic trends of the analytical solution and the test data agreed quite well.
American Psychological Association (APA)
Bai, Yu& Harajli, Ali& Xi, Yunping. 2015. Analytical Solutions of Ionic Diffusion and Heat Conduction in Multilayered Porous Media. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1067055
Modern Language Association (MLA)
Bai, Yu…[et al.]. Analytical Solutions of Ionic Diffusion and Heat Conduction in Multilayered Porous Media. Journal of Applied Mathematics No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1067055
American Medical Association (AMA)
Bai, Yu& Harajli, Ali& Xi, Yunping. Analytical Solutions of Ionic Diffusion and Heat Conduction in Multilayered Porous Media. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1067055
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067055