梯度化学势下聚合物凝胶自由溶胀的解析解  

Analytical Solutions for the Free Swelling of Polymer Gels Under Gradient Chemical Potential

作　　者：胡思禹 HU Si-yu(School of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan 430070,China)

机构地区：[1]武汉理工大学土木工程与建筑学院,武汉430070

出　　处：《武汉理工大学学报》2024年第9期87-91,共5页Journal of Wuhan University of Technology

基　　金：国家自然科学基金(12002247)。

摘　　要：研究梯度化学势下聚合物凝胶溶胀/消溶胀行为的理论对理解和控制凝胶在生物医学、环境响应材料和智能传感器中的应用至关重要。聚合物凝胶材料具有环境敏感性,其溶胀和消溶胀的过程极易受到外部因素的影响,在此过程中,凝胶内部化学势并非均匀分布,而是具有一定的梯度。基于均匀化学势下凝胶自由溶胀的解析解,推导了梯度化学势下凝胶自由溶胀的解析解,包括单方向、平面内梯度化学势下凝胶自由溶胀的解析解。最后将结果与文献对比,相对误差小于百分之一,两者具有较高的吻合度。结果显示在不同的溶胀阶段,适合的化学势梯度形式也在变化。The theory of swelling and deswelling behavior of polymer gels under gradient chemical potential is essential for understanding and controlling the application of gels in biomedicine,environmentally responsive materials and smart sensors.Polymer gels are environmentally sensitive,the swelling and deswelling processes are easily affected by external factors.The chemical potential inside the gel is not uniformly distributed,but has a certain gradient.Based on the analytical solution of gel free swelling under uniform chemical potential,the analytical solution of gel free swelling under gradient chemical potential is derived,including the analytical solution of gel free swelling under unidirectional and in-plane gradient chemical potential.Finally,the relative error is less than 1%,and the results of this paper have a high coincidence.The results show that the suitable chemical potential gradient is also changing at different swelling stages.

关 键 词：聚合物凝胶 溶胀 化学势 化学势梯度 

分 类 号：TQ427.1[化学工程]