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dc.contributor.advisorBai, Hao
dc.contributor.advisorLiao, Baoqiang
dc.contributor.authorQiao, Yuhang
dc.date.accessioned2023-03-15T17:12:46Z
dc.date.available2023-03-15T17:12:46Z
dc.date.created2022
dc.date.issued2022
dc.identifier.urihttps://knowledgecommons.lakeheadu.ca/handle/2453/5103
dc.description.abstractDue to the growth of the global population, water stress has risen sharply. However, water stress in high latitudes is not only due to population growth but also to low local temperatures. Numerous studies have shown that temperature affects the pore size of membranes, becoming larger at higher temperatures and smaller at lower temperatures. Since the average low temperature at high latitudes is usually below 10°C, the effect of low temperature on the membrane can reduce water flow and thus reduce the effectiveness of the membrane. In this paper, the effect of temperature change on the membrane is mainly studied using the nonlinear thermoelastic model. In the model, an axisymmetric large mechanical deformation as well a large temperature change is considered. Traction-free mechanical boundary conditions and convective thermal boundary conditions were used in the study. The finite difference method is used to solve the nonlinear system of equations. The proposed model is validated by comparison with limited published experimental results. Differences between the model and the published results were analyzed by comparing the MATLAB and experimental results. The effects of the mechanical and thermal properties of the material on the membrane under increasing temperature changes were investigated. The modeling results are in reasonably good agreement with the experimental results.en_US
dc.language.isoen_USen_US
dc.subjectMembrane structureen_US
dc.subjectPore sizeen_US
dc.subjectThermoelasticityen_US
dc.titleNonlinear mathematical and numerical modeling of the effect of temperature on membrane pore sizeen_US
dc.typeThesisen_US
etd.degree.nameMaster of Scienceen_US
etd.degree.levelMasteren_US
etd.degree.disciplineEngineering : Mechanicalen_US
etd.degree.grantorLakehead Universityen_US


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