Journal article 655 views
An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media
Computers and Geotechnics, Volume: 69, Pages: 329 - 337
Swansea University Author:
Hywel Thomas
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DOI (Published version): 10.1016/j.compgeo.2015.06.012
Abstract
An analytical solution for one-dimensional diffusion of chemicals under coupled chemical and thermal potentials is presented. The theoretical formulation considered includes heat conduction and chemical diffusion due to both molecular and thermal diffusion potentials. Laplace transformation techniqu...
Published in: | Computers and Geotechnics |
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ISSN: | 0266-352X |
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Elsevier BV
2015
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URI: | https://cronfa.swan.ac.uk/Record/cronfa52877 |
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2019-11-26T10:34:21.3638486 v2 52877 2019-11-26 An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media 08ebc76b093f3e17fed29281f5cb637e 0000-0002-3951-0409 Hywel Thomas Hywel Thomas true false 2019-11-26 CIVL An analytical solution for one-dimensional diffusion of chemicals under coupled chemical and thermal potentials is presented. The theoretical formulation considered includes heat conduction and chemical diffusion due to both molecular and thermal diffusion potentials. Laplace transformation technique has been used to derive the analytical solution to the problem in a semi-infinite domain. The results obtained by the proposed analytical solution have a good agreement with those obtained from the laboratory tests of thermal diffusion of a salt solution in a compact clay. Comparisons with the numerical model were also carried out to investigate the effects of transient heat conduction and temperature-dependency of diffusion coefficient on the chemical transport due to a thermal gradient. An application of the model to study the effects of thermal diffusion on chemical transport in a compacted clay liner (CCL) is presented. The results show that the base concentration and flux of the chemical in the CCL increases with the increase of the temperature and Soret coefficient. The 40-year bottom fluxes for the case with thermal diffusion are 2–11 times greater than the case with only molecular diffusion for a 0.6 m compacted clay liner. Based on the results achieved, thermal diffusion demonstrates considerable effect in the landfill design. In the simulation scenario with ST = 5 × 10−2 1/K, the base concentration and the flux of the chemical at 100 years is 1.5 times and 8 times larger, respectively than those obtained from the simulation without considering thermal diffusion. Using the analytical model presented, a series of dimensionless design charts are presented that can be used to estimate the thickness of the CCL, under non-isothermal conditions. The proposed analytical solution provides a simple method for the verification of alternative numerical models, evaluation of groundwater/soil remediation methods and preliminary design of landfill clay liners. Journal Article Computers and Geotechnics 69 329 337 Elsevier BV 0266-352X Thermal diffusion, Chemical transport, Heat conduction, Compacted clay liner, Analytical model, Landfill 1 9 2015 2015-09-01 10.1016/j.compgeo.2015.06.012 http://dx.doi.org/10.1016/j.compgeo.2015.06.012 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2019-11-26T10:34:21.3638486 2019-11-26T10:34:21.3638486 Haijian Xie 1 Chunhua Zhang 2 Majid Sedighi 3 Hywel Thomas 0000-0002-3951-0409 4 Yunmin Chen 5 |
title |
An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media |
spellingShingle |
An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media Hywel Thomas |
title_short |
An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media |
title_full |
An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media |
title_fullStr |
An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media |
title_full_unstemmed |
An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media |
title_sort |
An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media |
author_id_str_mv |
08ebc76b093f3e17fed29281f5cb637e |
author_id_fullname_str_mv |
08ebc76b093f3e17fed29281f5cb637e_***_Hywel Thomas |
author |
Hywel Thomas |
author2 |
Haijian Xie Chunhua Zhang Majid Sedighi Hywel Thomas Yunmin Chen |
format |
Journal article |
container_title |
Computers and Geotechnics |
container_volume |
69 |
container_start_page |
329 |
publishDate |
2015 |
institution |
Swansea University |
issn |
0266-352X |
doi_str_mv |
10.1016/j.compgeo.2015.06.012 |
publisher |
Elsevier BV |
url |
http://dx.doi.org/10.1016/j.compgeo.2015.06.012 |
document_store_str |
0 |
active_str |
0 |
description |
An analytical solution for one-dimensional diffusion of chemicals under coupled chemical and thermal potentials is presented. The theoretical formulation considered includes heat conduction and chemical diffusion due to both molecular and thermal diffusion potentials. Laplace transformation technique has been used to derive the analytical solution to the problem in a semi-infinite domain. The results obtained by the proposed analytical solution have a good agreement with those obtained from the laboratory tests of thermal diffusion of a salt solution in a compact clay. Comparisons with the numerical model were also carried out to investigate the effects of transient heat conduction and temperature-dependency of diffusion coefficient on the chemical transport due to a thermal gradient. An application of the model to study the effects of thermal diffusion on chemical transport in a compacted clay liner (CCL) is presented. The results show that the base concentration and flux of the chemical in the CCL increases with the increase of the temperature and Soret coefficient. The 40-year bottom fluxes for the case with thermal diffusion are 2–11 times greater than the case with only molecular diffusion for a 0.6 m compacted clay liner. Based on the results achieved, thermal diffusion demonstrates considerable effect in the landfill design. In the simulation scenario with ST = 5 × 10−2 1/K, the base concentration and the flux of the chemical at 100 years is 1.5 times and 8 times larger, respectively than those obtained from the simulation without considering thermal diffusion. Using the analytical model presented, a series of dimensionless design charts are presented that can be used to estimate the thickness of the CCL, under non-isothermal conditions. The proposed analytical solution provides a simple method for the verification of alternative numerical models, evaluation of groundwater/soil remediation methods and preliminary design of landfill clay liners. |
published_date |
2015-09-01T04:05:31Z |
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1763753413620793344 |
score |
11.021648 |