Dynamics of Drainage of Power-Law Liquid into a Deformable Porous Material

• 作者: Forrest A. Landis Javed I. Siddique Muhammad R. Mohyuddin
• 来源期刊: 流体动力学(英文)
• 学科: 数学
• 关键词: Power LAW FLUID MIXTURE Theory Deformable POROUS Material
• 年，卷（期）: 2014,（4）
• 页码范围: 403-414
• 页数: 12页
• 分类号: O1

摘要

In this study we explore the one-dimensional drainage of a power-law fluid into a deformable porous material. Initially, the fluid is imbibed into the dry undeformed material due to capillary suction which in turn deforms the porous material and forms liquid and solid interfaces. Mixture theory is employed to study the movement of the liquid and solid phases. The zero-gravity model contains the similarity solution that is solved numerically. The stress gradient within the deformable porous material is induced from a pressure gradient that produces an evolving solid fraction and hence deformation. In the absence of gravity effects, the deformation of the solid seems in the same direction of imbibition. This is because of attraction of gravity. Note that these liquid and solid dynamics depend on both the power-law indexes n and μ. We performed the experiments to measure the drainage and deformations of deformable porous materials for two samples of silicon oil (polydimethylsiloxane) in a polyurethane foam. Our experiments show that the silicon with high viscosity drains slower than silicon oil with low viscosity. The theoretical and experimental results show the same qualitative trend.