论文标题
横向各向同性粘性液的薄膜延伸流动
Thin film extensional flow of a transversely isotropic viscous fluid
论文作者
论文摘要
许多生物材料，例如颈粘液和胶原蛋白凝胶具有纤维化的微结构。这种微结构会影响材料的新兴机械性能，从而影响系统的功能行为。我们将拉伸一小块横向偏置粘性液作为颈粘膜的SpinnBarkeit测试的简化版本的规范问题。我们通过将模型操纵为合适的Lagrangian-Eulerian技术的形式来对Green＆Friedman构建的模型提出了一种新颖的解决方案。通过利用纸张的细长性质来减少方程系统，通过数值求解，我们发现板的块状特性受到依赖纤维不断发展的角度的有效粘度控制。此外，我们通过证明表格的中间线不必是平坦的，并执行短时间分析以捕获中心线的全部行为，从而证实了先前的猜想。
Many biological materials such as cervical mucus and collagen gel possess a fibrous micro-structure. This micro-structure affects the emergent mechanical properties of the material, and hence the functional behaviour of the system. We consider the canonical problem of stretching a thin sheet of transversely-isotropic viscous fluid as a simplified version of the spinnbarkeit test for cervical mucus. We propose a novel solution to the model constructed by Green & Friedman by manipulating the model to a form amenable to arbitrary Lagrangian-Eulerian techniques. The system of equations, reduced by exploiting the slender nature of the sheet, are solved numerically and we discover that the bulk properties of the sheet are controlled by an effective viscosity dependent on the evolving angle of the fibres. In addition, we confirm a previous conjecture by demonstrating that the centre-line of the sheet need not be flat, and perform a short timescale analysis to capture the full behaviour of the centre-line.
