中性水凝胶多相混合模型的相变研究  

Numerical Simulation of the Volume Transition of a Neutral Hydrogel Based on Multiphasic Mixture Theory

作　　者：王嘉谋[1] 王尚户[1] 何莉敏[1] 

机构地区：[1]内蒙古科技大学数理与生物工程学院,内蒙古包头041010

出　　处：《安徽师范大学学报（自然科学版）》2012年第6期533-536,共4页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金(81060238)

摘　　要：基于多相介质混合理论建立的模型,研究中性水凝胶的相变行为,经过一定的合理简化,得到了一个关于固相体积分数的偏微分方程.一维情况下,在不同的初始条件下通过差分格式数值模拟相变的动态过程,与稳态结果吻合得很好,并且相变得很平缓;二维情况下,基于不动点迭代,数值模拟了周期小扰动边界下相变的稳态情况,分析了相变特点.In this paper, a numerical model based on a multiphasic mixture theory is developed to simulate the volume transition of a neutral hydrogel. Then a nonlinear equation of solid volume fraction is obtained through some reasonable simplification. First, in different initial conditions, the dynamic result in one-dimension situation settled by difference scheme is identical with the steady state, and the volume transition is changing gently; then considering the astringency of fixed-point and iteration finite difference in arithmetic, two- dimension situation is also numerically solved in periodic boundary with small disturbance. At last, the major character of the volume transition of the neutral hydrogel is discussed.

关 键 词：中性水凝胶 多相混合 有限差分 不动点迭代 

分 类 号：O24[理学—计算数学]