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尹鹿, 袁振, 倪勇, 李华, 何陵辉. 数值模拟离子强度敏感水凝胶的多场特性[J]. 力学学报, 2005, 37(3): 363-367. DOI: 10.6052/0459-1879-2005-3-2003-226
引用本文: 尹鹿, 袁振, 倪勇, 李华, 何陵辉. 数值模拟离子强度敏感水凝胶的多场特性[J]. 力学学报, 2005, 37(3): 363-367. DOI: 10.6052/0459-1879-2005-3-2003-226
Numerical simulation of multi-physics characteristic of hydrogels in salt solutions[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(3): 363-367. DOI: 10.6052/0459-1879-2005-3-2003-226
Citation: Numerical simulation of multi-physics characteristic of hydrogels in salt solutions[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(3): 363-367. DOI: 10.6052/0459-1879-2005-3-2003-226

数值模拟离子强度敏感水凝胶的多场特性

Numerical simulation of multi-physics characteristic of hydrogels in salt solutions

  • 摘要: 发展了多物理模型来研究溶液中离子强度敏感水凝胶电-力-化学多场耦合的特性. 模型的主要控制方程包括:计算水凝胶内外离子浓度分布的Nernst-Planck化学场方程;描述膨胀变形的力学场方程和描述电场的泊松方程. 无网格有限云团法和牛顿迭代法用来数值离散和求解控制方程. 通过对比多场耦合的响应, 包括胶的膨胀率和胶内外离子浓度和电势的分布,探讨了影响胶体变形的主要因素. 对数值模拟结果和实验结果进行了对照.

     

    Abstract: Numerical simulations are conducted in this paper to predict themulti-physics behavior of ionic-strength-sensitive hydrogels in aqueous saltsolutions. The main governing equations in the presently developed modelconsist of the convection-diffusion equations calculating the distributionof ionic concentrations, the Poisson equation describing the electricpotential and the thermodynamic equations computing the swellingdeformation. To solve the multi-field coupled nonlinear partial differentialgoverning equations, a Newton iteration procedure is carried out and thesteady-state responses of the hydrogels in aqueous salt solutions arenumerically simulated by meshless finite cloud method. The ionicconcentrations, electric potentials interior and exterior the hydrogels aswell as swelling deformation of the hydrogels are investigated. The majorfactors that influence the swelling behaviors of the hydrogels are alsodiscussed. The numerical results in good agreement with the experimentaldata validate the developed multi-physics model.

     

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