Liquid flow inside a cylindrical capillary with walls covered with a porous layer (Gel)
Liquid flow inside a cylindrical capillary with walls covered with a porous layer (Gel)
复制标题
圆柱形毛细管内的液体流动，其壁覆盖有多孔层（凝胶）
DOI：
10.1134/s1061933x13020051
复制
发表时间：
2013
期刊：
影响因子：
1.1
通讯作者：
V. Starov
中科院分区：
文献类型：
--
作者：
Anatoly Nikolaevich Filippov;D. Khanukaeva;S. Vasin;V. Sobolev;V. Starov
本文在三种数学模型的框架内研究了粘性不可压缩液体在长圆柱形毛细管中的流动，毛细管的内表面覆盖有可渗透的多孔层。在第一个模型中，多孔层中的液体流动由Brinkman方程描述;根据第二个模型，多孔层的存在被考虑使用Navier滑移边界条件;并且，在第三个模型中，Navier条件被施加在多孔层-液体界面上，多孔层内部的流动被排除。理论预测与实验数据相比，我们之一已经获得的多孔毛细管中的液体流速。所提出的模型的应用的有效性和适当性进行了讨论。
Viscous incompressible liquid flow in a long cylindrical capillary, the internal surface of which is covered with a permeable porous layer, is studied within the frameworks of three mathematical models. In the first model, the liquid flow in the porous layer is described by the Brinkman equation; according to the second one, the presence of the porous layer is taken into account using the Navier slip boundary conditions; and, in the third model, the Navier condition is imposed on the porous layer-liquid interface, with the flow inside the porous layer being excluded. The theoretical predictions are compared with the experimental data that one of us has obtained for liquid flow rates in porous capillaries. The validity and appropriateness of the application of the proposed models are discussed.