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

作　　者：尹鹿[1] 袁振[1] 倪勇[1] 李华[1] 何陵辉[1] 

机构地区：[1]中国科学技术大学力学与机械工程系,合肥230026

出　　处：《力学学报》2005年第3期363-367,共5页Chinese Journal of Theoretical and Applied Mechanics

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.Numerical simulations are conducted in this paper to predict the multi-physics behavior of ionic-strength-sensitive hydrogels in aqueous salt solutions. The main governing equations in the presently developed model consist of the convection-diffusion equations calculating the distribution of ionic concentrations, the Poisson equation describing the electric potential and the thermodynamic equations computing the swelling deformation. To solve the multi-field coupled nonlinear partial differential governing equations, a Newton iteration procedure is carried out and the steady-state responses of the hydrogels in aqueous salt solutions are numerically simulated by meshless finite cloud method. The ionic concentrations, electric potentials interior and exterior the hydrogels as well as swelling deformation of the hydrogels are investigated. The major factors that influence the swelling behaviors of the hydrogels are also discussed. The numerical results in good agreement with the experimental data validate the developed multi-physics model.

关 键 词：离子强度 水凝胶 数值模拟 敏感 场特性 控制方程 多场耦合 牛顿迭代法 浓度分布 物理模型 数值离散 泊松方程 膨胀变形 离子浓度 模拟结果 场方程 无网格 膨胀率 体变形 化学 溶液 求解 有限 电场 力学 电势 

分 类 号：O646.23[理学—物理化学] O648.17[理学—化学]