在弹性多孔介质中,对阴性液晶流的均质平衡方程
Mohammed Alwady1,2, Nigel J Mottram1, Raimondo Penta1
1School of Mathematics and Statistics, University of Glasgow, Glasgow, G12 8QQ UK.
概括
我们开发了一种新的数学模型,用于通过多孔材料流动的阴性液晶. 这种异构型的孔粘弹性模型捕捉了流体结构相互作用,并为孔隙网络中的液晶开辟了新的应用.
科学领域:
- * 连续力学 连续力学
- *软物质物理学 *软物质物理学
- * 材料科学 材料科学
背景情况:
- * 了解多孔介质中的流体结构相互作用对于各种应用至关重要.
- * 阴性液晶表现出独特的异构性质,受其分子方向 (阴性导体) 的影响.
- *现有的模型往往简化了流体动力学和多孔固体变形之间的复杂相互作用.
研究的目的:
- * 为了得出一个新的宏观数学模型,用于与内马体液晶相互作用的线性弹性多孔介质.
- * 根据特定的近似方法 (一个弹性常数,对称应力张量) 调查流体结构相互作用.
- * 建立适用于有孔网络中阴性液晶的异构性孔粘弹性模型.
主要方法:
- * 非对称均质化技术,以升级微尺度流体结构相互作用问题.
- * 由于简化的粘度假设,角度动量和线性动量方程的解.
- * 导出宏观规律方程和同质化的构成关系.
主要成果:
- * 导出了一个新的异性极致宏尺度粘弹性模型 (异性极致孔-粘弹性模型).
- * 阴性导体会影响流量形状,但流体流量不会影响导体的配置.
- * 该模型通过计算的系数结合了阴性导体,其变化及其微观结构效应.
结论:
- * 衍生模型准确地描述了通过弹性多孔固体流动的阴性液晶.
- * 一个简化的例子显示了由体积负载驱动的流体流动,这取决于阴性导体的空间变化.
- * 这种理论框架为复杂的多孔结构中的阴性液晶提供了新的建模可能性.
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