The extensional flow of a thin sheet of incompressible, transversely isotropic fluid
The extensional flow of a thin sheet of incompressible, transversely isotropic fluid
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DOI：
10.1017/s0956792508007377
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发表时间：
2008-06-01
影响因子：
1.9
通讯作者：
Friedman, Avner
中科院分区：
文献类型：
--
作者：
Green, J. Edward F.;Friedman, Avner
出于对具有纤维状微观结构的生物凝胶（如胶原凝胶）的机械行为进行建模的目的，我们考虑了不可压缩的横向各向同性粘性流体的薄的二维膜的拉伸流动。忽略惯性，重力和表面张力的影响，领先的顺序方程推导出从扰动扩展的全流问题的权力（小）反纵横比。然后证明了小时间的约化方程组的解的存在唯一性。特殊情况下，在其中的解决方案可以明确地确定，被认为是我们讨论的结果的物理解释。
Motivated by the aim of modelling the mechanical behaviour of biological gels (such as collagen gels) which have a fibrous microstructure, we consider the extensional flow of a thin two-dimensional film of incompressible, transversely isotropic viscous fluid. Neglecting inertia, and the effects of gravity and surface tension, leading-order equations are derived from a perturbation expansion of the full flow problem in powers of the (small) inverse aspect ratio. The existence and uniqueness of the solution of the reduced system of equations for small times is then proven. Special cases, in which the solution may be determined explicitly, are considered and we discuss the physical interpretation of the results.